PUTTER-TYPE GOLF CLUB HEAD

Abstract

A putter-type golf club head has a top portion, a bottom portion, a heel portion, a toe portion, and a striking face having a variably textured region. The variably textured region includes a central portion and an outer portion laterally spaced from the central portion towards one of the heel portion and the toe portion. The central portion has a material ratio of less than 20% at a cutoff height of 0.1 mm and the outer portion has a material ratio greater than that of the central portion at the cutoff height of 0.1 mm. Variation of the textured region provides consistent ball speed upon impact at different lateral positions of the striking face.

Description

BACKGROUND

Putter-type golf club heads with some degree of surface variation, e.g., groove depth, pitch, and width, are known. Varying surface texture parameters is known to affect the degree of energy transfer from the club head to the golf ball at impact. However, known groove variations are insufficient to appropriately counterbalance the putter heads in which they are embodied. This could be for several reasons. Manufacturers of known putter-type club heads may be reliant on an inefficient manufacturing process, in which a single rotating bit mills each groove to a variable profile This necessitates increases in processing time and expense, which are likely cost-prohibitive for mainstream markets. Manufacturers may also fail to realize that variations in groove profile are tailorable to a particular club head. Finally, they may fail to realize the full scope of groove parameters that may be relevant to energy transfer at impact.

SUMMARY

The present inventors identified, however, that groove depth and pitch, for example, significantly affect shot distance, and they therefore could be used to counteract the natural speed drop-off for impacts away from the center of the club face. By creating a face pattern with variable milling depth (measured perpendicular to the face plane) and pitch (the interval spacing between the mill grooves), the inventors sought to achieve consistent shot distance regardless of where an impact occurs on the striking face. The end result is a relatively wide region of the striking face that has a relatively consistent rebound speed based on a constant impact velocity. Shot dispersion is thus minimized, resulting in greater overall performance.

The present inventors also appreciated the relationship between moment-of-inertia (“MOI”) and depth variation. In general, increasing MOI has been observed to reduce speed dropoff, so the less dramatic groove variation that is required. This understanding is incorporated into the club heads and methods of surface treating the club heads described below.

In one or more aspects of the disclosure, a surface treatment method includes surface milling a striking face of the golf club head using a cutter, thereby forming a plurality of grooves on the striking face. The plurality of grooves includes a variable depth profile such that groove depth generally decreases in a laterally outward direction of the striking face's face center. The surface milling may occur at a rotational speed and a feed rate such that the groove pitch generally increases in a laterally outward direction of the face center.

In one or more aspects of the disclosure, a surface treatment method includes providing a golf club head having a striking face, a heel, a toe, and a key physical attribute and forming a plurality of grooves in the striking face. Forming the plurality of grooves includes selecting a depth profile for the plurality of grooves along a heel-to-toe direction of the striking face based, at least in part, on the key physical attribute.

In one or more aspects of the disclosure, a surface treatment method includes providing a golf club head having a striking face, a heel, a toe, and a predetermined MOI value and forming a plurality of grooves in the striking face. Forming the plurality of grooves includes selecting a depth profile for the plurality of grooves along a heel-to-toe direction of the striking face based, at least in part, on the predetermined MOI value.

In one or more aspects of the disclosure, a surface treatment method includes providing a golf club head having a striking face, a heel, a toe, and a predetermined mass and forming a plurality of grooves in the striking face. Forming the plurality of grooves includes selecting a depth profile for the plurality of grooves along a heel-to-toe direction of the striking face based, at least in part, on the predetermined mass.

In one or more aspects of the disclosure, a golf club head that, when oriented in a reference position, includes a top portion, a bottom portion opposite the top portion, a heel portion, a toe portion opposite the heel portion, and a striking face. The striking face includes a face center and a plurality of grooves. Each of the plurality of grooves may have a substantially constant depth along the particular groove while the plurality of grooves has a variable depth as measured in a heel-to-toe direction.

The various exemplary aspects described above may be implemented individually or in various combinations. These and other features and advantages of a golf club head and method of surface treating a golf club head according to the invention in its various aspects and demonstrated by one or more of the various examples will become apparent after consideration of the ensuing description, the accompanying drawings, and the appended claims.

BRIEF DESCRIPTION OF THE DRAWINGS

The present disclosure is described with reference to the accompanying drawings, in which the reference characters reference like elements, and wherein:

FIG. 1 is a front elevation view of a golf club head in accordance with an embodiment of the present disclosure;

FIG. 2 is a front elevation view of a striking face of the golf club head of FIG. 1;

FIG. 3 is a partial cross-sectional view taken along line 3-3 of FIG. 2;

FIG. 4 is a schematic illustration showing a milling tool forming a plurality of grooves;

FIG. 5A is plot correlating ball speed with a horizontal distance from a face center;

FIG. 5B is a plot showing pitch and depth variation across a striking face;

FIG. 6 is a three-dimensional plot showing a relationship between change in ball speed, groove depth, and groove pitch;

FIG. 7 shows theoretical ball speed plots for six comparative golf club heads having different physical properties and non-variable milling;

FIG. 8A shows theoretical ball speed plots for six comparative golf club heads having different physical properties and striking faces with non-variable milling;

FIG. 8B shows theoretical ball speed plots for six exemplary embodiments of six golf club heads having different physical properties and striking faces with variable depth and pitch grooves;

FIG. 9A is a plot showing a relationship between golf club head moment-of-inertia and ball speed loss for comparative golf club heads having striking faces without variable depth and pitch grooves;

FIG. 9B is a plot correlating theoretical ball speed loss and impact location for comparative golf club heads having striking faces without variable depth and pitch grooves;

FIG. 10 shows a flowchart for a method of surface treating a golf club head;

FIG. 11A is a plot correlating ball roll out distance with impact location for a seventh comparative golf club with a striking face having grooves formed by non-variable milling;

FIG. 11B is a plot correlating ball roll out distance with impact location for a seventh exemplary embodiment constituting a golf club with a striking face having grooves formed by variable milling;

FIG. 12A is a plot correlating normalized ball roll out distance with impact location for the seventh comparative example;

FIG. 12B is a plot correlating normalized ball roll out distance with impact location for the seventh exemplary embodiment;

FIG. 13A is a plot correlating normalized ball roll out distance with impact location for the seventh comparative example and shows ball roll out distances along a regression curve;

FIG. 13B is a plot correlating normalized ball roll out distance with impact location for the seventh exemplary embodiment and shows ball roll out distances along a regression curve;

FIG. 14A is a plot including outlier points correlating ball roll out distance with impact location for the seventh comparative golf club;

FIG. 14B is a plot including outlier points correlating ball roll out distance with impact location for the seventh exemplary embodiment;

FIG. 15A is a plot including outlier points correlating normalized ball roll out distance with impact location for the seventh comparative golf club;

FIG. 15B is a plot including outlier points correlating normalized ball roll out distance with impact location for the seventh exemplary embodiment;

FIG. 16A is a plot including outlier points correlating normalized ball roll out distance with impact location for the seventh comparative golf club and shows ball roll out distances along a regression curve;

FIG. 16B is a plot including outlier points correlating normalized ball roll out distance with impact location for the seventh exemplary embodiment and shows ball roll out distances along a regression curve;

FIG. 17A shows ball roll out variation for the seventh comparative golf club head;

FIG. 17B shows ball roll out variation for the seventh exemplary embodiment;

FIG. 18A is a histogram of ball roll out distances for the seventh comparative golf club head;

FIG. 18B is a histogram of ball roll out distances for the seventh exemplary embodiment;

FIG. 18C is an overlay of the two histograms of FIGS. 18A and 18B;

FIG. 19A is a plot of ball speeds of a golf ball upon impact with an eighth comparative golf club head and an eighth exemplary embodiment of the invention;

FIG. 19B is another plot of ball speeds of a golf ball upon impact with a ninth comparative golf club head and a ninth exemplary embodiment of the invention;

FIG. 20 is a front elevation view of a golf club head in accordance with an embodiment of the present disclosure;

FIG. 21 is a top elevation view of a golf club head in accordance with an embodiment of the present disclosure; and

FIG. 22 is a plot showing areal material ratio curves for three lateral portions of an exemplary embodiment of the invention.

DETAILED DESCRIPTION

Representative examples of one or more novel and non-obvious aspects and features of a golf club head and method of surface treating a golf club head according to the present disclosure are not intended to be limiting in any manner. Furthermore, the various aspects and features of the present disclosure may be used alone or in a variety of novel and non-obvious combinations and sub-combinations with one another.

Referring to FIGS. 1-3, a putter-type golf club head 100 includes a striking face 110, a heel portion 130, a toe portion 140 opposite the heel portion 130, a top portion 150, a bottom portion 160 opposite the top portion 150, and a hosel 170. The hosel 170 preferably comprises a bore configured to securably receive a conventional golf shaft. In some embodiments, the hosel 170 extends outward from the top portion 150 and may optionally contain a bend or curve (e.g. “plumber's neck” type). In other embodiments, a bore may be provided directly in the top portion 150 and extending sole-ward for accommodating a conventional golf shaft. In yet other embodiments, the hosel 171 may comprise a male-type hosel constituting a boss extending upward from the top portion 150 and configured to be insertable within a conventional golf shaft. The hosel 171 includes a central longitudinal hosel axis 171 corresponding to a central longitudinal axis defined by an internal bore or outward protrusion or boss (in the case of a male-type hosel 171).

The striking face 110 includes a center line C. The center line C, for all purposes herein, denotes a line substantially parallel to the striking face and disposed on an imaginary vertical plane coincident with a center of gravity of the golf club head and substantially perpendicular to the striking face 110. The center line C passes through a so-called “sweet spot” of the golf club head 100 and may, in some embodiments, also pass through a face center FC of the golf club head 100.

The golf club head 100 is shown in a reference position in FIG. 1. “Reference position,” as used herein, refers to an orientation of a club head (e.g. golf club head 100) relative to a virtual ground plane 200 in which a bottom portion 160 of the club head contacts the ground plane 200 and the center hosel axis 171 of the hosel 170 is in a hosel vertical plane, which is perpendicular to the ground plane 200 and also perpendicular to the imaginary vertical plane coincident with the center of gravity of the golf club head referenced above.

As shown in FIG. 2, the striking face 110 includes a plurality of grooves 114 on a generally planar surface. The plurality of grooves 114 may include a first plurality of grooves 114a and a second plurality of grooves 114b. Each of the first plurality of grooves 114a may be substantially parallel to each other. Similarly, each of the second plurality of grooves 114b may be substantially parallel to each other. Each of the plurality of grooves 114 may be generally arcuate in shape and extend from the top of the striking face 110 to the bottom of the striking face. Each of the plurality of arcuate grooves 114 may have a substantially constant radius of curvature, both along such groove and, optionally, from groove to groove within the plurality of grooves. In some embodiments, the first plurality of grooves shares a substantially equal radius of curvature with the second plurality of grooves. A pattern formed by the second plurality of grooves 114b may be an inversion about the center line C of a pattern formed by the first plurality of grooves 114a. Additionally, the first plurality of grooves 114a may at least in part intersect the second plurality of grooves 114b.

The striking face 110 of FIG. 2 may be a part of a striking face insert formed separately from a main body of the golf club head 100 and joined to the main body, e.g. by mechanical fasteners, interference fit, or chemical adhesive. Alternatively, the striking face 110 may be formed integrally with the golf club head as a unitary body.

In one or more aspects of the present disclosure, the groove depth d of a particular groove among the plurality of grooves 114 may be substantially constant. For example, in such aspects, depth variation along any particular groove among the plurality of grooves 114 is no more than a few micrometers. More particularly, the depth variation along a particular groove may be less than or equal to 10 More preferably, the depth variation along a particular groove may be no greater than 5 μm.

Thus, depth variation may be achieved stepwise from groove to groove such as in FIG. 3, which shows a partial cross-sectional view of the striking face 110 taken in plane 3-3′ as shown in FIG. 2. For illustrative purposes, the view of FIG. 3 may not be shown to scale. The plurality of grooves 114 includes a variable depth profile, which includes a groove depth d for each of the plurality of grooves 114. The depth d may vary from groove to groove. The groove depth d of a particular groove closer to the heel portion 130 may be smaller in magnitude than the groove depth d of another groove closer to the center line C. Additionally, or alternatively, the groove depth d of a particular groove closer to the toe portion 140 may be smaller in magnitude than the groove depth of another groove closer to the center line C.

As illustrated in FIG. 3, each groove of the plurality of grooves 114 includes opposing side walls 114c and a groove bottom 114d. The side walls 114c may transition inwardly and rearwardly (in a direction opposite the face) to the groove bottom 114d.

In one or more aspects of the present disclosure, the groove depth d generally decreases in an outward direction from the face center FC of the striking face 110. For example, the groove depth d may vary such that the depth d is approximately provided by the following depth equation:

a _d x ² +b _d x+c _d,

where:

• • a_d, b_d, and c_d are each a constant value; and
  • x is a lateral position on a club face relative to the center line C, positive representing toe-ward of the center line C.

Herein, x may correspond to a lateral position of a particular groove from among the plurality of grooves 114 at a fixed vertical distance about the ground plane 200 where the lateral dimension refers to a heel-to-toe direction along the striking face 110. The groove depth d may be varied such that a_d is about 0.0006 mm⁻¹, b_d is about 0, and c_d is about −0.4 mm.

The plurality of grooves 114 also includes a groove pitch p. Herein, the groove pitch p is defined by groove-to-groove spacing along the striking face. As shown in FIGS. 2 and 3, the groove pitch p may vary in a heel-to-toe direction of the striking face. For example, the groove pitch p may be larger near the heel portion 130 than near the center line C. Additionally, or alternatively, the groove pitch p may be larger near the toe portion 140 than near the center line C.

In one or more aspects of the present disclosure, the groove pitch p generally increases in a laterally outward direction from the center line C of the striking face 110. For example, the groove pitch p may vary such that the pitch p is approximately provided by the following pitch equation:

a _p x ² +b _p x+c _p,

where:

a_p, b_p, and c_p are each a constant value and

X is a lateral position on a club face relative to the center line C.

Herein, x may correspond to a lateral position of a particular groove from among the plurality of grooves 114 at a fixed vertical distance about the ground plane 200 where the lateral dimension refers to a heel-to-toe direction along the striking face 110. The groove pitch p may be varied such that a_p is about 0.002 mm⁻¹, b_p is about 0, and c_p is about 2 mm.

In one or more aspects of the present disclosure, both the groove pitch p and the groove depth d of the plurality of grooves 114 vary. For example, the groove depth of a particular groove may be larger near the center line C than the groove depth of another particular groove proximate the heel and/or toe while the groove pitch p is smaller near the center line C and larger proximate the heel and/or toe. In another example, the groove depth d generally increases and the groove pitch p generally decreases in a laterally outward direction from the face center FC. The groove depth d may vary according to the depth equation above and the groove pitch p may vary according to the pitch equation given above.

As shown in FIGS. 1 and 2, in one or more aspects of the present disclosure, a golf club head 100 is shown as oriented in a reference position. The golf club head 100 includes a striking face 110 having a plurality of raised features formed thereon. The raised features each terminate in a forward surface (i.e. a land area) defining a maximum lateral extent, wherein the maximum lateral extent generally increases laterally outward from the face center FC. Each of the forward surfaces is generally planar. In some aspects, low-scale texture such as a media blast or fine milling may be further applied to the forward surfaces. Additionally, the forward surfaces are substantially coplanar with a striking face plane. Alternatively, or additionally, each of the forward surfaces may have a corresponding area and the corresponding areas of the plurality may generally increase laterally outward from the face center FC.

Also, as shown in FIGS. 1 and 2, according to one or more aspects of the disclosure, each of the plurality of forward surfaces is polygonal. According to one or more aspects of the disclosure, each of the plurality of forward surfaces is substantially rhombic in shape.

Additionally, the striking face 110 having a plurality of raised features formed thereon may include a plurality of grooves and each of the polygonal surfaces may be spaced from an adjacent polygonal surface by one of the plurality of grooves. In one or more aspects, the plurality of grooves may have variable depth profile and the depth of any particular groove may be selected according to the depth equation provided above.

According to one or more aspects of the disclosure, a plurality of grooves 114 may be formed by surface milling, as illustrated in FIG. 4, using a surface milling tool 300, which includes a cutter 310 rotating at a speed R and being fed at a feed rate F in a direction D. The direction D may be across a striking face 110 of a golf club head and the plurality of grooves 114 may be formed by single pass of the surface milling tool. The feed rate F and the rotational speed R of the cutter 310 may be varied to vary a groove pitch p of the plurality of grooves 114 according to the following equation:

$p=\frac{F}{R}$

Alternatively, simply the rotational speed R or the feed rate F may be varied to vary the groove pitch p. The pitch p may generally decreases in a laterally outward direction of the face center FC of the striking face 110. The plurality of grooves 114 formed by surface milling may also include a variable depth profile such that groove depth d generally decreases in a laterally outward direction of the face center of the striking face. Groove depth d may be varied by varying the depth of the cutter during the surface milling. Herein, “variably milled grooves” describes a plurality of grooves 114 formed by surface milling having a variable depth profile and/or a variable pitch.

According to one or more aspects of the disclosure, groove depth d and groove pitch p of a striking face 110 of a golf club head 100 may be varied more specifically based on natural variation of ball speed upon impact with the golf club head 100 at different locations of the striking face 100. FIG. 5A plots theoretical speed of a golf ball upon consistent impact with a golf club head having a striking face without variably milled grooves 114. In the figure, “X” denotes a horizontal distance along the striking face and away from the center line C, whereby the positive direction corresponds with toe-ward. As seen in the graph, the ball speed decreases as the absolute magnitude of “X” increases. The ball speed upon impact may be approximated by a quadratic function to be discussed further below.

FIG. 5B plots both theoretical depth d (right axis) and theoretical pitch p across a wide horizontal range of the striking face (e.g., |X|>20 mm), where both depth d and pitch p are varied for purposes of modifying the distribution of, preferably to make more consistent, ball speed away from the center line C. In practice, the depth d and pitch p may be proportionally related as an effect of the groove forming environment; for example, the depth d and pitch p formed by a surface-milling tool as discussed above may vary proportionally with varying cutting depth, feed rate, and rotational speed. The theoretical depth and pitch shown in FIG. 5B may be approximated by the quadratic equations described above where

depth=a_dx²+b_dx+c_d

and

pitch=a_px²+b_px+c_p.

Table 1 lists a_d, b_d, and c_d values of example golf clubs, each having a striking face 110 including a plurality of grooves 114 formed by surface milling. A depth profile of each of the golf clubs is defined by the above depth equation and the corresponding values of a_d, b_d, and c_d. While only a_d is different among the examples shown in Table 1, the disclosure encompasses other values of a_d, b_d, and c_d suitable for a desired variation in groove depth. Also, depth and/or pitch variation may be expressed in terms of mathematical models other than a quadratic formula, e.g. a continuous or step-wise linear, exponential, or cubic mathematical expression or any combination thereof.

	TABLE 1
	Name	ad (mm−1)	bd	cd (mm)
	Example 1	0.000715163	0	−0.381
	Example 2	0.000651271	0	−0.381
	Example 3	0.000620863	0	−0.381
	Example 4	0.000563686	0	−0.381
	Example 5	0.000536867	0	−0.381
	Example 6	0.000636284	0	−0.381

Table 2 provides values of a_p, b_p, and c_p corresponding to the example golf clubs of Table 1 where the pitch variation is defined by the above pitch equation. While only a_p is different among the examples shown in Table 2, the disclosure encompasses other values of a_p, b_p, and c_p suitable for a preferred variation in groove pitch. Also, depth and/or pitch variation may be expressed in terms of mathematical models other than a quadratic formula, e.g. a continuous or step-wise linear, exponential, or cubic mathematical expression or any combination thereof.

	TABLE 2
	Name	ap (mm−1)	bp	cp (mm)
	Example 1	0.002355	0	1.87
	Example 2	0.002144	0	1.87
	Example 3	0.002044	0	1.87
	Example 4	0.001856	0	1.87
	Example 5	0.001768	0	1.87
	Example 6	0.002095	0	1.87

The inventors tested the example clubs described in Tables 1 and 2 by first establishing a relationship between ball speed upon impact with groove depth and groove pitch. Statistical analysis of ball speed upon impact at the center line C (i.e., X=0) for each of the example clubs, which include striking faces with different groove depths and pitches, is summarized in Table 3. FIG. 6, which is a three-dimensional plot of the percent difference in ball speed relative to the maximum ball speed of Example 2 against groove depth and pitch, indicates a generally linear relationship between the ball speed upon impact and the groove depth and pitch at the impact location.

TABLE 3
	Exam-	Exam-	Exam-	Exam-	Exam-
	ple 1	ple 2	ple 3	ple 4	ple 5
Mean	5.59	5.62	5.57	5.51	5.45
(mph)
Median	5.58	5.61	5.57	5.50	5.44
(mph)
CI	0.029	0.017	0.021	0.027	0.029
(mph)
Upper	5.619	5.633	5.586	5.537	5.481
(mph)
Lower	5.561	5.599	5.545	5.483	5.423
(mph)
X [mm]	0	0	0	0	0
Loss	−0.59%	0.00%	−0.83%	−2.02%	−3.11%
relative
to max
(pattern 2)

FIG. 7 plots computationally-modeled ball speed (normalized to ball speed at impact at the center line C) for six different theoretical golf club heads each having a striking face without variably milled grooves 114. Such a striking face may include a plurality of grooves having uniform depth and pitch in a laterally outward direction of a face center of the striking face (referred to herein as “non-variable milled grooves) or a flat surface without a plurality of grooves. As in the case of the theoretical golf club head of FIG. 5A, the ball speeds for each of the six golf club heads in FIG. 7 decrease in a laterally outward direction of the face center (Impact Location=0).

Similarly, FIG. 8A plots normalized ball speed for six theoretical golf club heads each having a striking face with a plurality of grooves having uniform depth and pitch. Such golf club heads may be manufactured by a deep-milling process disclosed in U.S. application Ser. No. 15/198,867, which is herein incorporated by reference. Each of the theoretical comparative golf club heads shown in FIG. 8A corresponds to a theoretical exemplary golf club head of FIG. 8B, which plots the normalized ball speed for theoretical golf club heads having variably milled grooves 114. The plurality of grooves 114 formed on each of these golf club heads are tailored to match physical properties of that particular golf club head. For example, the plurality of grooves may have a variable pitch and a variable depth profile to correspond to the pitch and depth equations described above where the variables a_d, b_d, c_d, a_p, b_p, and c_p are varied according to the physical properties of a particular golf club head. Each of the plots of FIG. 8B show a wide region (e.g., |X|>20 mm) of constant ball speed, demonstrating the effectiveness of matching pitch and depth variation to a particular golf club head in reducing golf ball speed dispersion.

The inventors identified a golf club head's moment-of-inertia (MOI) as one of the physical properties affecting ball speed variation. For example, Izz (i.e., MOI about a vertical axis through a golf club head's center of gravity when the golf club head is in a reference position), in particular, is believed to be correlated with ball speed loss on off-center hits. FIG. 9A plots ball speed loss for putters having varying Izz values upon ball strikes at 15 mm laterally outward from the putters' face centers. Generally, higher MOI putters exhibit less ball speed loss. A similar trend may be observed in FIG. 9B, which plots ball speeds for theoretical putters having four different Izz values; these values are fit to quadratic curves. Using such theoretical models, pitch variation and depth variation of a plurality of grooves on a striking face of a golf club head may be designed to match expected ball speed loss based on the golf club head's MOI.

Table 4 demonstrates how ball speed variation may differ from club to club. The data listed include modeled data for six putter-type golf club heads, each having an associated MOI (I_zz) value and a mass. The MOI value and/or the mass of each golf club head is different from golf club head to golf club head. Table 4 lists impact positions (provided as lateral distances away from a face center) necessary to effect a 4, 3, 2, or 1% decrease in ball speed. For example, for “Cero Range,” if a ball is struck at a point of the striking face that is 19.77 mm away from the center line of the striking face, the ball speed is 4% less than if the ball was struck along the center line with the same momentum.

TABLE 4
	Ball Speed Change
	−4%	−3%	−2%	−1%
Theoretical	+/−19.77	+/−17.12	+/−13.98	+/−9.88
Comparative Club
A [mm]
Theoretical	+/−20.71	+/−17.94	+/−14.65	+/−10.36
Comparative Club
B [mm]
Theoretical	+/−21.21	+/−18.37	+/−15.00	+/−10.61
Comparative Club
C [mm]
Theoretical	+/−20.95	+/−18.15	+/−14.82	+/−10.48
Comparative Club
D [mm]
Theoretical	+/−22.26	+/−19.28	+/−15.74	+/−11.13
Comparative Club
E [mm]
Theoretical	+/−22.81	+/−19.76	+/−16.13	+/−11.41
Comparative Club
F [mm]

Upon understanding the relationship between ball speed variation and certain key physical attributes, such as MOI and/or mass, of the golf club head, the inventors were able to normalize the ball speed variation by varying groove depth and/or pitch. Table 5 provides model generated data for estimated ball speed change upon varying groove depth and pitch for a particular golf club head. As seen in Table 5, ball speed change may be expected to increase in magnitude with increasing groove depth and pitch.

TABLE 5
		Estimated Ball
Depth [in]	Pitch [mm]	Speed Change
0.0046	2.79	0.1%
0.0058	2.69	−0.4%
0.0069	2.59	−0.9%
0.0081	2.48	−1.3%
0.0092	2.38	−1.8%
0.0104	2.28	−2.2%
0.0115	2.18	−2.7%
0.0127	2.07	−3.1%
0.0138	1.97	−3.6%
0.0150	1.87	−4.0%

Table 6 details attributes of inventive golf club heads, each having a plurality of grooves having varying depth and width. The exemplary golf club heads vary in weight and/or MOI. Depth values denote a perpendicular distance from a striking face plane to a groove bottom of a particular groove of the plurality of grooves. Pitch values denote groove to groove spacing. Depth values at increasing lateral distances away from the center line C are listed for each of the exemplary golf club heads. Similarly, pitch values at increasing lateral distances away from the center line C are listed for each of the exemplary golf club heads. While various golf club heads with different masses and MOIs are listed, additional golf club heads with other masses, MOIs, or physical parameters are within the scope of the present invention. As shown in Table 6, the plurality of grooves formed on striking faces of the example club heads have smaller depth for grooves farther away from the center line C toward either the heel portion H or toe portion T. In contrast, the groove pitch of the plurality of grooves for the exemplary club heads have larger pitch for grooves farther away from the center line C toward either the heel portion H or toe portion T.

TABLE 6
	Exem.	Exem.	Exem.	Exem.	Exem.	Exem.
Club	Club #1	Club #2	Club #3	Club #4	Club #5	Club #6
Head mass (g)	369.05	369.1	368.7	403.9	404.5	343.2
MOI (Izz) (g · cm2)	3153	4205	4437	4943	5239	4338
Depth	@ FC	0.3810	0.3810	0.3810	0.3810	0.3810	0.3810
(mm)	@ 5 mm H and T	0.3631	0.3647	0.3655	0.3669	0.3676	0.3651
	@ 10 mm H and T	0.3095	0.3159	0.3189	0.3246	0.3273	0.3174
	@ 20 mm H and T	0.1016	0.1205	0.1327	0.1555	0.1663	0.1265
Pitch	@ FC	1.8700	1.8700	1.8700	1.8700	1.8700	1.8700
(mm)	@ 5 mm H and T	1.9289	1.9236	1.9211	1.9164	1.9142	1.9224
	@ 10 mm H and T	2.1055	2.0844	2.0744	2.0556	2.0468	2.0795
	@ 20 mm H and T	2.7900	2.7278	2.6877	2.6124	2.5771	2.7081

FIG. 10 diagrams a method for forming a plurality of grooves on a golf club head where the plurality of grooves is optimally tuned to a particular key attribute of the golf club head, such as the exemplary clubs of Table 6.

According to one or more aspects of the disclosure, a golf club head having a striking face, a heel, a toe, and a MOI value is provided. The MOI value may correspond to MOI value about a particular axis through the center of gravity, e.g. about the vertical axis (I_zz). A depth profile may be selected based, at least in part, on the MOI value. Alternatively, or additionally, other attributes of the golf club head may be considered in selecting a depth profile. For example, golf club head mass may be factored in selecting a depth profile.

As shown in FIG. 10, surface milling may be used to form a plurality of grooves on the striking face of the golf club head.

In one or more aspects of the disclosure, the variable depth profile defines a variable groove depth approximately equal to the depth equation described above. Additionally, or alternatively, the pitch variation may be approximately determined by the pitch equation described above.

According to one or more aspects of the disclosure, a method of forming a plurality of grooves includes selecting a pitch variation based, at least in part, the MOI value (e.g. Izz) of the golf club head. Alternatively, or additionally, other attributes of the golf club head may be factored in selecting the pitch variation. For example, golf club head mass may be factored in selecting a pitch variation.

The step of selecting a variable depth profile may include determining whether the MOI value meets a first criteria, and if so, applying a first depth profile, or a second criteria, different from the first criteria, and, if so, applying a second depth profile that is different from the first depth profile.

The step of selecting a pitch variation may include determining whether the MOI value meets a first criteria, and if so, applying a first pitch variation, or a second criteria, different from the first criteria, and, if so, applying a second pitch variation that is different from the first depth profile.

According to one or more aspects of the disclosure, the depth profile is selected together with the pitch variation. Selecting the depth profile and the pitch variation includes determining whether the MOI value meets a first criteria, and if so, applying a first depth profile and a first pitch variation, or a second criteria, different from the first criteria, and, if so, applying a second depth profile and a second pitch variation that are different from the first depth profile and/or the first pitch variation. For example, if the MOI value of a golf club head is 3153 g·cm², a first criteria for MOI value may be met and a first depth profile and a first pitch variation corresponding to depth and pitch values provided in Table 6 for Exemplary Club #1 may be applied to the plurality of grooves formed on the striking face of the golf club head. In another example, if the MOI value of a golf club head is 4205 g·cm², a first criteria of MOI value may not be met, but a second criteria may be met. Accordingly, a second depth profile and a second pitch variation corresponding to depth profile and pitch variation provided in Table 6 for Exemplary Club #2 may be applied to the plurality of grooves formed on the striking face of the golf club head.

According to one or more aspects of the disclosure, the step of selecting the depth profile, the pitch variation, or both include determining whether the golf club head's mass meets a first criteria, and if so, applying a first groove variation (e.g., depth profile, pitch variation, or both), or a second criteria, different from the first criteria, and, if so, applying a second groove variation that is different from the first groove variation. For example, if the golf club head has a certain mass, it may meet a first criteria and the first groove variation may be applied. If the golf club head has a different mass, it may not meet the first criteria, but meet a second criteria; in such a case, a second groove variation may be applied.

The effectiveness of matching a particular golf club head having one or more key physical attribute (e.g., a predetermined MOI value or a mass) to a groove pitch and depth variation may be measured by measuring the distance a ball travels upon impact at various striking face locations, which may be referred herein as “ball roll out.” To measure ball roll out variation of a particular golf club head, a ball may be struck with constant force at varying impact points on the golf club head's striking face.

FIGS. 11-18 plot ball roll out for balls struck at various lateral impact points for a golf club head, where a positive value of impact position denotes lateral distance away from a centerline towards the toe and a negative value of impact position denotes lateral distance away from a centerline towards the heel.

FIGS. 11A and 11B respectively show ball roll out variation for identical golf club heads without and with variably milled grooves with statistical outliers removed. In FIG. 11A, the data points are fit to a quadratic curve; in FIG. 11B, the data is best represented by a straight line. The depth and pitch of the variably milled grooves were optimized according to key attributes of the golf club head such as MOI. FIGS. 12A and 12B show normalized ball roll out variation for the same data as FIGS. 11A and 11B. FIGS. 13A and 13B show the normalized ball roll out variations of FIGS. 12A and 12B along with a ball roll out distances at various points along the two regression lines.

FIGS. 14A and 14B respectively show scatter plots depicting ball roll out variation for identical golf club heads without and with variably milled grooves as discussed above but including statistical outliers. In FIG. 14A, the data points are fit to a quadratic curve; in FIG. 14B, the data is best represented by a straight line. FIGS. 15A and 15B show normalized ball roll out variation for the data shown in FIGS. 14A and 14B, respectively. FIGS. 16A and 16B show the normalized ball roll out variations of FIGS. 15A and 15B, respectively, along with a comparison of ball roll out distance at various points along the two regression lines.

As seen in FIGS. 11-16, ball roll out varies approximately in a quadratic fashion for a striking face without variably milled grooves, which corresponds to the modeled data discussed previously. Also corresponding to the modeled data, ball roll out variation is significantly reduced when the golf club head has a striking face with variably milled grooves matched to the golf club head.

This reduction in shot distance dispersion is visualized in FIGS. 17A and 17B, which respectively plot ball roll out irrespective of impact position for a striking face without and with variably milled grooves matched to the golf club head where the impact positions relative to the center line C are the same for FIGS. 17A and 17B. This contrast in ball roll out dispersions is also shown in the histograms of FIGS. 18A-18C. The reduction in shot dispersion as shown in these histograms results in greater performance for golfers who benefit from an increased wider striking region. I.e, unintentionally off-centered impacts are less likely to affect rollout distance, thus reducing the penalization associated with such mishits.

The effectiveness of variably milled grooves may also be quantified by the impact ball speed at various impact points. Herein, impact ball speed refers to the forward velocity of a golf ball when struck by a golf club head moving at a predetermined velocity. Optimally, impact ball speed would not vary regardless of horizontal impact location. Constant impact ball speed along the striking face results in low dispersion of shot distances. As shown in FIG. 8B, impact ball speed may be altered by varying groove parameters to match key attributes of a particular golf club head.

FIG. 19A compares impact ball speeds of two golf club heads: “Exemplary Embodiment #8” includes a striking face with variably milled grooves while “Comparative Example #8” includes a striking face with non-variable milled grooves. Ball impact speed for Comparative Example #8 is appreciably lower 15 mm away from the center line C (as compared to impacts at the center line C) while ball impact speed for Exemplary Embodiment #8 is more uniform across the striking face.

Similarly, FIG. 19B show impact ball speed varies substantially less for a golf club head having a striking face with variably milled grooves (“Exemplary Embodiment #9”) than a golf club head having a striking face without variably milled grooves (“Comparative Example #9”).

As shown in FIGS. 20 and 21, according to one or more aspects of the present disclosure, a putter-type golf club head 1000, when oriented in a reference position, includes a top portion 1050, a bottom portion 1060 opposite the top portion 1050, a heel portion 1030, a toe portion 1040 opposite the heel portion 1030, and a striking face 1010. The striking face 1010 includes a striking face plane 1100 and a variably textured region, which includes a first portion 1012 and a second portion 1016. The first portion 1012 defines a shape which may be in turn considered to include a geometric center. The geometric center of the first portion 1012 may coincide with, or be spaced less than about 1 mm away from, a lateral center of the golf club head, i.e. the location of the striking face laterally half-way between, or bisecting, the heel-ward end and the toe-ward end. Additionally, or alternatively to the above, the geometric center of the first portion 1012 preferably coincides with, or is less than 1 mm away from, the face center of the golf club head 1000, both in terms of heel-to-toe position and top-to-sole position. Herein, the face center may be determined in accordance with the United States Golf Association's “Procedure for Measuring the Flexibility of a Golf Clubhead,” Revision 1.0.0, May 1, 2008, which is incorporated herein by reference. Alternatively or additionally, the geometric center of the first portion 1012 is aligned laterally in a heel-to-toe direction with an alignment element 1080, e.g. a sightline, of the golf club head 1000. As shown in the top view of FIG. 21, the alignment element 1080 may be formed on the top portion 1050 of the golf club head 1000. Such an alignment element 1012 may help a golfer to align his putting stroke and hit a golf ball about a desired trajectory and may or may not be laterally aligned to the face center of the golf club head 1000.

In some embodiments, the geometric center of the first portion is offset from the face center and, in some cases, by a distance greater than 1 mm. In such cases, the geometric center is preferably still laterally aligned with the alignment element 1080 and, in some embodiments, preferably laterally aligned with a sweet spot (i.e. the normal projection of a center of gravity onto the striking face). Such embodiments may be particularly preferable in cases where the sweet spot is not laterally aligned with the face center of the club head. While it is generally desirable to design a golf club head such that the sweet spot is laterally centered (and thus aligned with the face center of the striking face), it is not always feasible as a result of the intended overall design of the putter or cost constraints. In those particular embodiments, both the geometric center of the first portion and the alignment element may be laterally aligned with the sweet spot, even if not laterally aligned with the face center of the club head 1000. This is because the sweet spot may be considered to best represent the ideal impact location.

A variably textured region of the striking face 1010 may be part of a striking face insert. Such an insert may extend fully or partially from the heel portion 1040 to the toe portion 1030. In other embodiments, the variably textured region of the striking face is formed is formed on the golf club head without an insert. The variably textured region of the striking face 1010 helps to achieve consistent ball speed control as described above.

The second portion 1016 is located laterally away from the first portion 1012. For example, as shown in FIG. 20, the second portion 1016 is located closer to the toe end 1030 of the golf club head 1000 than the first portion 1012. In this embodiment, the second portion 1016 is located laterally away from the face center striking face 1010. In one or more embodiments, the second portion 1016 is located laterally away from the first portion 1012 towards the toe end 1040. In one or more embodiments, a third portion 1014 is located laterally between the first portion 1012 and the second portion 1016. The first portion 1012, third portion 1014, and the second portion 1016 may be located next to each other as depicted in FIG. 20 or they may be spaced apart. However, preferably, the first portion 1012, the second portion 1014, and the third portion 1016 are mutually exclusive of each other and not co-extensive. In one or more embodiments, the variably textured region is symmetric about a vertical plane normal to the striking face plane 1100 and thus bear surface properties that vary outward from the vertical plane toward the heel and toward the toe in a gradual, continuous, and/or stepwise manner. In any of the above embodiments, the first portion 1012, second portion 1016, and the third portion 1014 may not be discrete portions of the striking face 1010 but define zones of a continuous textured region on the striking face 1010.

According to one or more embodiments of the present invention, the variably textured region of the striking face 1010 may be characterized using known surface metrology instruments and methods. Further, the variability of texture region may be characterized by measuring and comparatively analyzing surface characteristics of various portions of the textured region.

According to one or more embodiments of the disclosure, a putter-type golf club includes a striking face having: a material ratio of a first portion 1012, e.g. a virtual 6 mm by 6 mm square measurement area at a cutoff height of 0.1 mm, of less than 20%; and a material ratio of a second portion 1016 or a third portion 1014, measured in a virtual 6 mm by 6 mm square measurement area at a cutoff height of 0.1 mm, smaller than that of the first portion 1012. Preferably, the material ratio of the first portion 1012 is greater than about 5% and less than about 15% at the cutoff height of 0.1 mm. More preferably, the material ratio of the first portion is greater than about 8% and less than about 12%. In one or more preferred embodiments, the difference between the second portion 1016 and the first portion 1012 Δ(3-1) is greater than about 5% and less than about 15%.

Herein, a material ratio is a three-dimensional parameter defined as a ratio of area occupied by material to open area, measured in a cross-section at a specified cutoff height below a maximum height of a surface within a measurement area. In the above example, the cutoff height of 0.1 mm describes a virtual plane parallel to the face plane 1100 that is 0.1 mm away from the face plane 1100. It is believed that such measurement at such specified cutoff height is sufficiently representative of the degree that a putter surface bears on a golf ball at impact. It is further believed that the degree that a striking surface bears on a golf ball at impact is correlated with roll distance. Thus, generating a face surface pattern that varies on the basis of this parameter is believed to improve shot dispersion, i.e. produce greater consistency in roll distance regardless of impact location on the striking face.

Alternatively, or in addition, texture variation may be achieved by the groove depth and width variation described above using surface milling techniques. Alternatively, texture variation may be achieved by other comparable methods for forming textured surfaces, such as metal injection molding processes. Providing these preferred texture variations aids in achieving consistent ball speed upon impact even when the ball is not struck at a lateral center or some other preferred impact point of the striking face.

Table 7 lists material ratio data for three face portions from each of four comparative golf club heads (“Comp. Example I-IV”) and three exemplary golf club heads (“Exem. Embodiment I-III”) as measured by interferometry using a three-dimensional optical profiler. Each of the measurements in Table 7 is representative of a 6 mm by 6 mm square in one of the portions of one of the golf club heads. Portion 1 of each of the golf club heads is laterally aligned in a heel-to-toe direction with a visual alignment element. Among some of the golf club heads, Portion 1 is also laterally centered on or near a lateral center of the golf club head. Each Portion 3 of each of the golf club heads in Table 7 is laterally spaced from each respective Portion 1 by about 12 mm. Each Portion 2 is disposed between respective Portion 1 and Portion 3, and Portions 1, 2, and 3 of each club head are laterally aligned. Accordingly, each of the measurement areas of Table 7 is a distinct region of a golf club head's striking face.

TABLE 7
	Material Ratio at Cutoff Height of 0.1 mm
	Comp.	Comp.	Comp.	Comp.	Exem.	Exem.	Exem.
	Example	Example	Example	Example	Embodiment	Embodiment	Embodiment
	I	II	III	IV	I	II	III
Portion	15.9%	25.5%	42.2%	21.7%	8.6%	9.4%	11.2%
1
Portion	15.2%	28.6%	39.7%	20.6%	8.6%	9.8%	13.9%
2
Portion	15.8%	38.7%	76.5%	24.1%	15.6%	16%	25.6%
3
Δ(3-1)	0.1%	13.2%	34.3%	2.4%	7%	6.6%	14.4%

FIG. 22 depicts an areal material ratio curve for Exem. Embodiment III. An areal material ratio curve quantifies the contour of a material's surface by showing a ratio of material area to open area for successive cross-sectional planes taken at intervals descending from a maximum surface height. Herein, the cutoff height as referenced above may be the rearward orthogonal distance of this intersecting plane from a golf club head's face plane. In FIG. 22, the absolute value of the height is to be understood as the cutoff height. The low material ratio at shallow heights from the face plane (e.g., at a cutoff height of 0.1 mm) and the general progression in relative steepness of the areal material ratio that are shown in FIG. 22 are reflective of the inventive surface texture variation. Comparative example club heads may have substantially higher material ratios at shallow cutoff heights (e.g., at 0.1 mm), as seen in Table 7. Herein, texture variation refers to face texture that may be continuously varying or non-continuously varying. Texture variation may refer to surface texture differences between a central region and a heel-ward or toe-ward region of a golf club face. Such differences may be quantified using known surface metrology instruments and methods such as interferometry or other profilometry. For all practical purposes herein, unless otherwise provided, all conventional surface roughness parameters are to be measured under standard ASME conditions.

It has also been recognized the surface texture variability should be dependent on various attributes of the club head, e.g. mass properties. For example, in some embodiments, the texture variation, as quantified by the difference between the Portion 3 and Portion 1 Δ(3-1) ratios for each of the exemplary embodiments in Table 7 scale approximately to club head MOI. In particular, these values scale approximately to Izz. For example, the Izz value of Exem. Embodiment 2 is greater than the Izz value of Exem. Embodiment 1, which is greater still than the Izz value of Exem. Embodiment 3. In other embodiments, Δ(3-1) may be correlated with club head mass, shape, volume, MOI, or a combination of such properties.

Inventive golf club heads may have Izz values greater than 4,000 g*cm². Preferably, a golf club has an Izz value between about 4,000 g*cm²-5,000 g*cm². In one or more embodiments, a golf club head has an Izz value between about 4,200 g*cm²-about 4,500 g*cm² and face texture of a central region is different from face texture in a more heel-ward and/or toe-ward region.

Tables 8-15 list surface properties of putter-type golf club heads that are comparative examples and exemplary embodiments of the present invention. For each of the listed golf club heads, three-dimensional surface properties are measured optically by interferometry. Variations across striking faces of the golf club heads are characterized by measuring three laterally aligned 6 mm×6 mm portions of the striking face, wherein Portion 1 corresponds to a central region aligned with an alignment element of the striking face, Portion 3 corresponds a laterally outward region striking face, and Portion 2 corresponds to an intermediate region disposed between Portions 1 and 3. The comparative putter-type golf club heads of Tables 8, 10, 12, and 14 have surface texturing to different degrees and patterns. As such, the surface properties as measured vary substantially among the comparative example golf club heads. For example, Comparative Example I includes a striking face having a pattern of plurality of grooves that does not vary substantially in cross-sectional depth, width, or pitch across the face. Thus, the surface properties of Comparative Example I do not vary substantially between Portions 1, 2, and 3. On the other hand, Comparative Examples II, III, and IV include a striking surface with features that vary from each central portion to an outer portion.

In one or more embodiments of the invention, a golf club head has a striking face having a first portion with an average roughness Sa of 80-110 μm. Preferably, Sa is about 90 μm in the first portion. The measurement area for Sa is about 6 mm×6 mm. The golf club head may also include a second portion having a Sa of 80-110 μm. Preferably, the Sa of the second portion is about 90 μm. The golf club head may also have a third portion disposed laterally between the first portion and the second portion and having a Sa of 80-110 μm. Preferably, the Sa of the third portion is about 90 μm. In these embodiments, Sa across the striking face does not significantly vary, but other may texture parameters do vary across the face. This aspect is based on belief that roll distance on ball impact is moreso correlated with the degree on which a golf ball bears on the striking surface (as quantified as, e.g., material ratio in the manner described above) than with the broader, more generalized attribute of surface roughness SA. Nonetheless, in some embodiments, surface roughness and degree of bearing may be correlated in themselves, dependent on the manner in which texture is applied to the striking face. In such embodiments, obviously, surface roughness SA may vary in a more significant manner laterally along the striking face.

In one or more embodiments, a golf club head has a striking face having a root mean square roughness Sq of 100 μm-120 μm in each of a first portion, a second portion, and a third portion, wherein the three portions are three distinct regions of the striking face surface. Preferably, Sq is about 90 μm in each of the three portions. The measurement area for Sq is about 6 mm×6 mm. In these embodiments, Sa across the striking face does not significantly vary, but other may texture parameters do vary across the face.

In one or more embodiments of the invention, the first portion of the striking face has a surface skew Ssk of 1.0-1.5. Preferably, Ssk is about 1.3 in the first portion. The measurement area for Ssk is about 6 mm×6 mm. The golf club head may also include a second portion having a Ssk less that the Ssk of the first portion. Preferably, the Ssk of the second portion is 0.2-0.7 less than the Ssk of the first portion. Herein, Ssk is a quantification of surface amplitude about a mean surface plane, wherein Ssk<0 indicates a surface dominated by deep valleys, Ssk>0 indicates a surface dominated by high peaks. For a surface having a normal distribution of surface heights about the mean plane, Ssk is 0. Mathematically, Ssk is related to Sq by Equation 1, wherein Z(x,y) is a function representing the height of a surface relative to a best fitting plane:

$\begin{array}{cc}\mathrm{Ssk}=\frac{1}{S_q^3}\int {\int }_a{\left(Z\left(x,y\right)\right)}^3\mathrm{dxdy}.& \mathrm{Equation}1\end{array}$

Accordingly, the inventive golf club head of these embodiments are more peak dominant in the first portion than the second portion. These variations may be selected to match a club head's physical properties such as MOI, mass, volume, shape, and the like. For example, a club head having a high MOI may have larger variation in Ssk from the first portion to the second portion than a comparable club having a lower MOI. Similarly with degree of bearing, these parameters are believed to be correlated with roll distance upon impact and thus shot dispersion.

In one or more embodiments of the invention, the striking face of the golf club head includes a varying kurtosis Sku of the three-dimensional surface texture. A first portion of the striking face has a kurtosis Sku greater than 3. A second portion of the head has a kurtosis Sku less than 3. Herein, Sku indicates a degree of high peaks/valleys, wherein a Sku value >3 indicates a surface very high peaks/valleys across a surface. Sku is related mathematically to Sq by Equation 2:

$\begin{array}{cc}{S}_{\mathrm{ku}}=\frac{1}{S_q^4}\int {\int }_a{\left(Z\left(x,y\right)\right)}^4\mathrm{dxdy}.& \mathrm{Equation}2\end{array}$

Thus, the inventive golf club head of these embodiments have more high peaks in the first portion than the second portion. The difference in Sku may also be selected according to the club head's physical properties, including the mass properties described above.

Tables 8 and 9 list Sa, Sq, Ssk, and Sku values for comparative examples and exemplary embodiments, respectively, as measured using the interferometry method described above. As expected, Sa, Sq, Ssk, and Sku for Comparative Example I do not vary significantly between Portions I, II, and III.

TABLE 8
	Face	Sa	Sq
Club Head ID	Portion	μm	μm	Ssk	Sku
Comparative	1	80.999	97.140	0.98	2.65
Example I	2	79.472	95.744	1.00	2.73
	3	78.119	94.777	1.04	2.84
	Average	79.530	95.887	1.00	2.74
	St. Dev.	1.441	1.188	0.03	0.09
Comparative	1	88.570	100.525	1.00	2.16
Example II	2	94.885	104.594	0.82	1.81
	3	107.699	112.485	0.34	1.25
	Average	97.052	105.868	0.72	1.74
	St. Dev.	9.747	6.081	0.34	0.46
Comparative	1	122.897	135.771	−0.25	1.52
Example III	2	95.906	111.201	−0.63	2.06
	3	51.387	61.446	−1.17	2.84
	Average	90.064	102.806	−0.68	2.14
	St. Dev.	36.111	37.867	0.46	0.67
Comparative	1	139.845	162.922	1.05	2.32
Example IV	2	125.754	148.608	0.96	2.28
	3	76.728	89.792	0.93	2.28
	Average	114.109	133.774	0.98	2.29
	St. Dev.	33.131	38.756	0.06	0.02

As shown in Table 9, values for Sa and Sq vary only minimally across the striking face of an inventive golf club head, but values for Ssk and Sku for each golf club head varies between Portions 1 and 3 within the ranges discussed above. Further, the exemplary embodiments are believed to exhibit greater consistency in roll distance, e.g. a reduced shot dispersion. Thus, these surface measurements provide insight into three-dimensional surface characteristics of these striking faces that are not possible by quantifying average roughness. Texture variation for the clubs listed in Table 9 may be attributed to groove depth and/or depth variation across the face.

TABLE 9
	Face	Sa	Sq
Club Head ID	Portion	μm	μm	Ssk	Sku
Exemplary	1	90.242	112.773	1.30	3.60
Embodiment I	2	86.172	108.632	1.34	3.73
	3	91.146	108.405	0.94	2.52
	Average	89.187	109.937	1.19	3.28
	St. Dev.	2.650	2.459	0.22	0.67
Exemplary	1	92.093	116.820	1.39	3.77
Embodiment II	2	89.833	114.196	1.35	3.68
	3	101.197	118.076	0.64	2.06
	Average	94.375	116.364	1.13	3.17
	St. Dev.	6.016	1.980	0.43	0.96
Exemplary	1	87.847	108.460	1.16	3.19
Embodiment III	2	89.985	109.241	0.80	2.54
	3	88.692	102.593	0.23	1.77
	Average	88.841	106.765	0.73	2.50
	St. Dev.	1.077	3.633	0.47	0.71

According to one or more embodiments, a golf club head has a striking face having a varying surface texture with a first portion of the striking face having a three-dimensional surface texture aspect ratio Str between 0.30 and 0.45. Preferably, the Str value is between 0.35 and 0.40. in a 6 mm×6 mm measurement area of the first portion. Str may be lower in a second portion closer to a heel or toe portion than the first portion of the striking face. Preferably, the Str of the second portion is about 0.10 to about 0.25. Str may be varied from the first portion to the second portion according to one or more the golf club head's physical properties. Herein, Str is an indication of a surface texture's spatial isotropy, as conventionally used in the art. A Str value equal to 0 indicates a highly directional lay while a Str value equal to 1 indicates a spatially isotropic texture.

In one or more embodiments of the invention, a golf club head has a striking face having a striking plane with a first portion and a second portion disposed laterally away from the first portion. In a 6 mm×6 mm measurement area of the first portion, a root mean square surface slope Sdq is 27.0 degrees to 35.0 degrees; preferably, the Sdq is 27.5 degrees to 32.0 degrees. The second portion has an Sdq less than that of the first portion. Preferably, the second portion Sdq is 1 degree to 5 degrees less than the first portion Sdq. Herein, Sdq is evaluated over all directions of a surface and is a general measurement of the slopes that comprise the surface. In these embodiments, Sdq values of the first and second portion may differentiate striking faces wherein the first portion and the third portion have similar three-dimensional surface roughness Sa.

Additionally, or alternatively, a golf club head has a striking face having a striking plane with a first portion and a second portion disposed laterally away from the first portion. In a 6 mm×6 mm measurement area of the first portion, a developed interfacial area ratio Sdr is 10%-15%; preferably, the Sdr is 11.0% to 13.0% in the first portion. The second portion has a Sdr value less than that of the first portion; preferably the Sdr value is 8%-10%. The variation of Sdr values between the first portion and the second may be tailored to provide consistent ball speed upon impact at the various portions of the striking face. This variation may be selected to match the golf club head's Izz, mass, volume, or other physical properties of the golf club head.

Herein, a developed interfacial area ratio Sdr is a measure of additional surface area contributed by a surface's texture as compared to an ideal plane the size of the measurement region expressed by Equation 3:

$\begin{array}{cc}\mathrm{Sdr}=\frac{\begin{array}{c}\mathrm{Texture}\mathrm{Surface}\mathrm{Area}-\\ \mathrm{Ideal}\mathrm{Plane}\mathrm{Surface}\mathrm{Area}\end{array}}{\mathrm{Ideal}\mathrm{Plane}\mathrm{Surface}\mathrm{Area}}\times 100\%& \mathrm{Equation}3\end{array}$

Sdr, like Sdq, may differentiate surfaces with similar texture amplitudes and average roughnesses.

Tables 10 and 11 list Sdq and Sdr values for comparative examples and exemplary embodiments, respectively, as measured using the interferometry method described above. The comparative putter-type golf club heads of Table 10 have surface texturing to different degrees and patterns. As such, Sdq and Sdr as measured vary substantially among the comparative example golf club heads.

	TABLE 10
		Face	Sdq	Sdr
	Club Head ID	Portion	deg	%
	Comparative	1	26.14	9.547007
	Example I	2	25.53	9.348642
		3	24.81	9.066245
		Average	25.49	9.320631
		St. Dev.	0.66	0.241602
	Comparative	1	38.75	20.212593
	Example II	2	38.64	20.174662
		3	38.45	20.272697
		Average	38.61	20.219984
		St. Dev.	0.15	0.049434
	Comparative	1	45.47	39.128624
	Example III	2	38.75	25.097742
		3	32.69	16.793335
		Average	38.97	27.006567
		St. Dev.	6.39	11.289331
	Comparative	1	59.92	71.467003
	Example IV	2	56.93	58.052956
		3	41.98	24.708717
		Average	52.94	51.409559
		St. Dev.	9.61	24.076656

As shown, in Table 11, values for Sdq and Sdr vary for each golf club head varies between Portions 1 and 3 within the ranges discussed above. The texture variation may be attributed to groove depth and/or depth variation across the face.

	TABLE 11
		Face	Sdq	Sdr
	Club Head ID	Portion	deg	%
	Exemplary	1	28.81	12.515839
	Embodiment I	2	27.87	11.565163
		3	26.93	10.238298
		Average	27.87	11.439767
		St. Dev.	0.94	1.143937
	Exemplary	1	31.61	14.435457
	Embodiment II	2	30.44	13.422815
		3	27.82	11.363165
		Average	29.96	13.073812
		St. Dev.	1.94	1.565598
	Exemplary	1	27.69	11.163259
	Embodiment III	2	26.75	10.507293
		3	23.11	7.889052
		Average	25.85	9.853201
		St. Dev.	2.42	1.732335

According to one or more embodiments, the texture of the striking face of the golf club head could be consider in view of two-dimensional surface roughness parameters. For example, in some embodiments, a golf club head has a striking face having a varying surface texture with a first portion of the striking face having an average roughness along an x direction Sty X Ra that is substantially greater than an average roughness along a y direction Sty Y Ry in a 6 mm×6 mm area of the striking face. Herein, the x direction and y direction are perpendicular directions along a face plane of the striking face. In some such embodiments, the above conditions are met whereby the x direction extends in the generally heel to toe direction, whereas the y direction extends in the top to sole direction. Other orientations however are possible. Sty X Ra is 70 μm-100 μm and Sty Y Ra is between 40 μm-60 μm. Preferably, Sty X Ra is 75 μm-95 μm and Sty Y Ra is 42 μm-50 μm. Ratio Sty X Ra/Sty Y Ra indicates a spatial isotropy of the texture amplitude. Preferably, this ratio is 1.6-1.9; in these embodiments, the striking face has significantly higher roughness along the x direction than the y direction. In this manner, surface texture properties are controlled in the orientation most significantly correlated with improving shot consistency, which may relieve costs in manufacturing.

Tables 12 and 13 list Sty X Ra and Sty Y Ra values for comparative and exemplary putter heads, respectively. As with the average roughness Sa described above, the exemplary putter heads directional roughness values preferably do not vary significantly between Portions 1, 2, and 3. Their ratios indicate greater directional roughness along the x direction, which in the examples corresponds to a heel to toe direction, than the y direction.

TABLE 12
		Sty X	Sty Y
	Face	Ra	Ra	Sty X Ra/Sty
Club Head ID	Portion	μm	μm	Y Ra
Comparative	1	75.165	42.990	1.748405937
Example I	2	73.451	42.523	1.727296909
	3	71.549	42.042	1.701823201
	Average	73.388	42.519	1.725842016
	St. Dev.	1.809	0.474	0.023325423
Comparative	1	1.193	84.597	0.01410072
Example II	2	1.506	91.539	0.016450402
	3	2.732	106.001	0.025776888
	Average	1.810	94.046	0.018776003
	St. Dev.	0.814	10.920	0.006175722
Comparative	1	7.436	120.794	0.061561954
Example III	2	17.991	94.571	0.19024414
	3	29.935	49.940	0.599412808
	Average	18.454	88.435	0.283739634
	St. Dev.	11.256	35.823	0.280850389
Comparative	1	3.991	142.275	0.028048079
Example IV	2	5.653	128.717	0.043918725
	3	4.133	78.024	0.052970151
	Average	4.592	116.339	0.041645651
	St. Dev.	0.922	33.867	0.012615569

TABLE 13
		Sty X	Sty Y
	Face	Ra	Ra	Sty X Ra/Sty
Club Head ID	Portion	μm	μm	Y Ra
Exemplary	1	81.923	49.019	1.671271768
Embodiment I	2	77.648	48.456	1.602445461
	3	82.873	49.823	1.663369512
	Average	80.815	49.099	1.64569558
	St. Dev.	2.784	0.687	0.037663524
Exemplary	1	85.080	47.668	1.784838401
Embodiment II	2	82.366	46.497	1.771409029
	3	93.646	44.962	2.082792582
	Average	87.030	46.376	1.879680004
	St. Dev.	5.888	1.357	0.176028767
Exemplary	1	80.230	47.772	1.679421626
Embodiment III	2	84.985	48.859	1.739409493
	3	85.426	44.687	1.911646569
	Average	83.547	47.106	1.776825896
	St. Dev.	2.881	2.164	0.120549145

According to one or more embodiments, a golf club head has a striking face having a varying surface texture with a first portion of the striking face having a mean profile spacing along a x direction Sty X Rsm less than a mean profile spacing along a y direction Sty Y Rsm in a 6 mm×6 mm area of the striking face. Herein, the x direction and y direction are perpendicular directions along a face plane of the striking face. Sty X Rsm and Sty Y Rsm are measures of the average length between points along a profile that cross the mean line with the same slope direction. In these embodiments, Sty X Rsm is 1600 μm-1700 μm and Sty Y Rsm is between 2900 μm-3500 μm. Preferably, Sty XRsm/Sty Y Rsm is 0.4-0.7. More preferably, this ratio is about 0.5.

Tables 14 and 15 list Sty X Rsm and Sty Y Rsm values and their ratios for comparative and exemplary putter heads, respectively. The Rsm ratios between Portions 1, 2, and 3 may vary according to mass properties of the putter head. For example, the Rsm ratio of Portion 3 may be higher or lower than that of Portion 1. Their ratios indicate greater directional roughness along the x direction, which in the examples corresponds to a heel to toe direction, than the y direction.

TABLE 14
		Sty X	Sty Y
	Face	Rsm	Rsm	Sty X Rsm/Sty
Club Head ID	Portion	μm	μm	Y Rsm
Comparative	1	1689	3005.10	0.562189314
Example I	2	1649	3011.78	0.54766402
	3	1662	2977.61	0.558315769
	Average	1667	2998.16	0.556056368
	St. Dev.	20	18.11	0.007521616
Comparative	1	268	1523.63	0.175874427
Example II	2	337	1525.10	0.221198105
	3	556	1525.15	0.364349812
	Average	387	1524.63	0.253807448
	St. Dev.	150	0.86	0.098378197
Comparative	1	346	1038.93	0.332740719
Example III	2	1289	1631.57	0.790114725
	3	3046	1244.13	2.448068011
	Average	1560	1304.88	1.190307818
	St. Dev.	1370	300.95	1.112999673
Comparative	1	367	1144.83	0.320503979
Example IV	2	1055	1147.49	0.919735982
	3	1121	1143.92	0.979643059
	Average	848	1145.41	0.739961006
	St. Dev.	418	1.86	0.364493296

TABLE 15
		Sty X	Sty Y
	Face	Rsm	Rsm	Sty X Rsm/Sty
Club Head ID	Portion	μm	μm	Y Rsm
Exemplary	1	1640	3439.09	0.476970946
Embodiment I	2	1647	3059.73	0.538422772
	3	1809	2923.90	0.618533991
	Average	1699	3140.91	0.54464257
	St. Dev.	95	267.01	0.070986184
Exemplary	1	1614	2963.93	0.544667105
Embodiment II	2	1621	3277.89	0.494654291
	3	1784	3816.65	0.467434679
	Average	1673	3352.82	0.502252025
	St. Dev.	96	431.27	0.039172772
Exemplary	1	1654	3230.69	0.51210004
Embodiment III	2	1718	3185.00	0.539520288
	3	2030	3344.69	0.606863782
	Average	1801	3253.46	0.552828037
	St. Dev.	201	82.25	0.048763345

As noted above, surface texture of a putter face may be formed by various milling or molding processes. The texture may be a result of grooves, recesses, or other sloped planes formed by these various processes. These features may be continuous across the striking face or discretely formed in distinct regions of the striking face, such as a striking face insert. Likewise, variations of the surface texture may be continuous or non-continuous in nature.

While various features have been described in conjunction with the examples outlined above, various alternatives, modifications, variations, and/or improvements of those features and/or examples may be possible. Accordingly, the examples, as set forth above, are intended to be only illustrative. Various changes may be made without departing from the broad spirit and scope of the underlying principles.

Claims

1. A golf club head that, when oriented in a reference position, comprises: a head main body including a toe, a heel opposite the toe, an upper portion, and a sole opposite the upper portion; anda face coupled to the head main body, the face including a face center and a plurality of grooves with a pitch profile that varies such that, in a first location, the plurality of grooves has a first pitch and, in a second location that is laterally closer to the face center than the first location, the plurality of grooves has a second pitch that is smaller than the first pitch,wherein a depth of each groove is substantially constant.

2. The golf club head of claim 1, wherein the pitch of the grooves varies according to: pitch=ap x2+bp x+cp, where ap, bp, and cp are each a constant value and all is a horizontal distance from an imaginary vertical line intersecting the face center.

3. The golf club head of claim 1, further comprising a head center of gravity and a moment of inertia about a vertical axis through the head center of gravity greater than 4,000 g*cm2.

4. The golf club head of claim 3, wherein the head center of gravity is substantially aligned laterally with the face center.

5. The golf club head of claim 1, wherein a first impact ball speed from impact at face center is substantially the same as a second impact ball speed from impact at a location 15 mm toe-ward of face center.

6. The golf club head of claim 5, wherein a third impact ball speed from impact at a location 20 mm toe-ward of face center is substantially the same as the first impact ball speed.

7. The golf club head of claim 1, wherein the face is discretely formed from the head main body by a process selected from the group consisting of surface milling and molding.

8. The golf club head of claim 1, wherein the plurality of grooves varies in width.

9. The golf club head of claim 8, wherein the plurality of grooves has a first width at a first location and a second width smaller than the first width at a second location toe-ward of the first location.

10. The golf club head of claim 8, wherein the plurality of grooves has a maximum width along a vertical plane extending normally through the face center.

11. A golf club head that, when oriented in a reference position, comprises: a head main body including a toe, a heel opposite the toe, an upper portion, and a sole opposite the upper portion; anda face coupled to the head main body, the face including a face center and a plurality of grooves with a pitch profile that varies such that a pitch of the grooves generally increases in a laterally outward direction from the face center,wherein a depth of each groove is substantially constant.

12. The golf club head of claim 11, further comprising a first measurement region defined by a 6 mm×6 mm square around the face center and a second measurement region defined by a 6 mm×6 mm square toe-ward of the first measurement region, wherein: the first measurement region includes a surface roughness Sa1 of about 80-110 μm, a root mean square roughness Sq1 of 100-120 μm, and a surface skew Ssk1 of 1.0-1.5 and the second measurement region includes a surface roughness Sa2 of about 80-110 μm, a root mean square roughness Sq2 of 100-120 μm, and a surface skew Ssk2 that is 0.2-0.7 less than Ssk1.

13. The golf club head of claim 11, further comprising a head center of gravity and a moment of inertia about a vertical axis through the head center of gravity greater than 4,000 g*cm2.

14. The golf club head of claim 13, wherein the head center of gravity is substantially aligned laterally with the face center.

15. The golf club head of claim 11, wherein a first impact ball speed from impact at face center is substantially the same as a second impact ball speed from impact at a location 15 mm toe-ward of face center.

16. The golf club head of claim 15, wherein a third impact ball speed from impact at a location 20 mm toe-ward of face center is substantially the same as the first impact ball speed.

17. The golf club head of claim 11, wherein the face is discretely formed from the head main body by a process selected from the group consisting of surface milling and molding.

18. The golf club head of claim 11, wherein the plurality of grooves varies in width.

19. The golf club head of claim 18, wherein the plurality of grooves has a first width at a first location and a second width smaller than the first width at a second location toe-ward of the first location.

20. The golf club head of claim 18, wherein the plurality of grooves has a maximum width along a vertical plane extending normally through the face center.