Patent Application
20150226621
The present invention generally relates to a system and method for the precise measurement of acceleration, movement, and other forces imparted on a body or object. Specifically, the invention relates to a system and method for measuring head accelerations in helmeted activities including, but not limited to, football, ice hockey, and lacrosse. Certain embodiments of the invention may include a wireless link to a remote recording station with near real-time data analysis and reporting of force and kinetics measured by the system.
This application claims the benefit of U.S. Provisional Patent Application No. 61/965,974, filed on Feb. 13, 2014, which is hereby incorporated by reference in its entirety.
The US Center for Disease Control and Prevention (CDC) reports that ˜1.7 million people sustain traumatic brain injury (TBI) each year. With the increased knowledge of the possible serious and long lasting ramifications of TBI, a great deal of research has become focused on developing improved protective gear and procedures to help protect against the injuries induced by TBI and mild-TBI, especially in sports and military applications. Due to the limitation of in-vivo strain measurement in human brain, other kinematic parameters of head, such as head linear acceleration (to define linear impact of head contact) and angular acceleration (to define inertial loading of head), are used for study of brain injury mechanisms. Several systems incorporating microelectromechanical systems (MEMS) inertial sensors into helmets have been developed and employed, with the Head Impact Telemetry System (HITS) being one of the earliest and most widely used.
The primary disadvantage of using sensors that are incorporated into a helmet is that the sensors in the helmet may not accurately measure the acceleration forces being delivered to the head of the user. In particular, the head acceleration induced by an impact could be different from the helmet acceleration depending on variations caused by different fit tightness and wear conditions between the head of the user and the helmet. For more precise measurements of head accelerations, it is necessary to have any sensors coupled more directly to the head of a user to eliminate the inaccuracies caused by the fit of a helmet and the helmet movements that are independent of the head of the user. While certain head acceleration sensors in the form of earplugs have been developed, those sensors require a hard wired connection to the data recording portion of the system.
Therefore, there is a need in the art for a system and method for wirelessly measuring and recording head acceleration caused by impacts in helmeted activities through the use of a reduced number sensors that are tightly coupled to the head of a user. These and other features and advantages of the present invention will be explained and will become obvious to one skilled in the art through the summary of the invention that follows.
Accordingly, embodiments of the present invention are directed to (i) a wireless head acceleration recording system that monitors head acceleration via two or more sensors that are tightly coupled to the head and communicate through a short range wireless link to in-helmet recorder electronics and (ii) a method for calculating head acceleration based on data received an inertial sensor set. In a preferred embodiment, the sensors may be embedded in commonly used articles such as earplugs and mouth guards in order to provide a better comfort and fit for a user. Some embodiments of the present invention may include an in-helmet recorder unit that is capable of transmitting the gathered sensor data to a remote recording station via a longer range wireless link.
According to an embodiment of the present invention, a system for determining the acceleration delivered to an object as a result of an impact, the system comprising: an acceleration data processing module comprising computer-executable code stored in non-volatile memory, a processor, a memory, and a communications means, wherein the acceleration data processing module, the processor, the memory, and the communications means are operably connected and are configured to: detect an acceleration force being applied to a rigid body with a plurality of inertial sensor sets comprising at least a first set of inertial sensors that is attached to the rigid body at a first reference point and a second set of inertial sensors that is attached to the rigid body at a second reference point such that the second reference point is aligned on a common axis with the first reference point, wherein an origin reference point exists on the common axis substantially equidistant from the from the first and the second reference points, collect acceleration data using the inertial sensor sets, wherein the acceleration data is measured at least at the first and second reference points, transmit the acceleration data to the acceleration data processing module for analysis, and analyze the acceleration data collected by the inertial sensor sets, wherein the acceleration data is used to calculate origin point kinematics.
According to an embodiment of the present invention, the rigid body has a center of gravity with center of gravity kinematics and the acceleration data processing module, the processor, the memory, and the communications means are operably connected and further configured to calculate the center of gravity kinematics from the origin point kinematics based on a geometrical relationship between the center of gravity and the origin reference point.
According to an embodiment of the present invention, the acceleration data processing module, the processor, the memory, and the communications means are operably connected and are configured to: identify when the acceleration value for the center of gravity of the rigid body exceeds a preset threshold and send an alert notification when said acceleration value for said center of gravity of said rigid body exceeds said preset threshold.
According to an embodiment of the present invention, the first set of inertial sensors consists of three orthogonal axes linear accelerometers and the second set of inertial sensors consists of three orthogonal linear accelerometers and a single-axis gyroscope with a sensing axis that is in parallel with the common axis existing between the first and second reference points.
According to an embodiment of the present invention, the plurality of inertial sensor sets is further comprised of a third set of inertial sensors that is attached to the rigid body at a third reference point such that the third reference point is aligned with the origin reference point on a secondary axis that is perpendicular to the common axis thereby enabling the third set of inertial sensors to collect the acceleration data at the third reference point for use in calculating the origin point kinematics.
According to an embodiment of the present invention, the acceleration data processing module, the processor, and the memory are configured as a remote recording station.
According to an embodiment of the present invention, the system is further comprised of a wireless data link unit, wherein the wireless data link unit, the acceleration data processing module, the processor, the non-transitory computer readable memory, and the communications means are operably connected and are configured to: receive the acceleration data from the plurality of inertial sensor sets and transmit the acceleration data to the remote recording station.
According to an embodiment of the present invention, the wireless data link unit is attached to a helmet.
According to an embodiment of the present invention, the acceleration data processing module, the processor, the memory, and the communications means are operably connected and are configured to: identify when the acceleration value for the origin reference point of the rigid body exceeds a preset threshold and send an alert notification when the acceleration value for the origin reference point of the rigid body exceeds the preset threshold.
According to an embodiment of the present invention, the acceleration data processing module, the processor, the memory, and the communications means are operably connected and are configured to: receive acceleration data of a secondary body, compare the acceleration data of the secondary body to the acceleration data of the rigid body, and correct an acceleration value of the secondary body for a lack of tight coupling with the rigid body.
According to an embodiment of the present invention, the origin point kinematics are calculated in six-degrees of freedom.
According to an embodiment of the present invention, the rigid body is a head of a person.
According to an embodiment of the present invention, one or more inertial sensor sets in the plurality of inertial sensor sets is formed as an earpiece.
According to an embodiment of the present invention, one or more inertial sensor sets in the plurality of inertial sensor sets is formed as a mouth guard.
According to an embodiment of the present invention, a method for determining the acceleration delivered to an object as a result of an impact force, the method comprising the steps of: detecting an acceleration force being applied to a rigid body with a plurality of inertial sensor sets comprising at least a first set of inertial sensors that is attached to the rigid body at a first reference point and a second set of inertial sensors that is attached to the rigid body at a second reference point such that the second reference point is aligned on a common axis with the first reference point, wherein an origin reference point exists on the common axis substantially equidistant from the from the first and the second reference points, collecting acceleration data using the inertial sensor sets, wherein the acceleration data is measured at least at the first and second reference points, transmitting the acceleration data to the acceleration data processing module for analysis, and analyzing the acceleration data collected by the inertial sensor sets, wherein the acceleration data is used to calculate origin point kinematics.
According to an embodiment of the present invention, the rigid body has a center of gravity with center of gravity kinematics and further comprising the step of calculating the center of gravity kinematics from the origin point kinematics based on a geometrical relationship between the center of gravity and the origin reference point
According to an embodiment of the present invention, the method further comprises the step of: identifying when the acceleration value for the center of gravity of the rigid body exceeds a preset threshold and sending an alert notification when the acceleration value for the center of gravity of the rigid body exceeds the preset threshold.
According to an embodiment of the present invention, the method further comprises the step of detecting an acceleration force with a third set of inertial sensors that is attached to the rigid body at a third reference point such that the third reference point is aligned with the origin reference point on a secondary axis that is perpendicular to the common axis thereby enabling the third set of inertial sensors to collect the acceleration data at the third reference point for use in calculating the origin point kinematics.
According to an embodiment of the present invention, the method further comprises the steps of: receiving the acceleration data from the plurality of inertial sensor sets and transmitting the acceleration data to the remote recording station.
According to an embodiment of the present invention, the method further comprises the steps of: identifying when the acceleration value for the origin reference point of the rigid body exceeds a preset threshold and sending an alert notification when the acceleration value for the origin reference point of the rigid body exceeds the preset threshold.
According to an embodiment of the present invention, the method further comprises the steps of: receiving acceleration data of a secondary body, comparing the acceleration data of the secondary body to the acceleration data of the rigid body, and correcting an acceleration value of the secondary body for a lack of tight coupling with the rigid body.
The foregoing summary of the present invention with the preferred embodiments should not be construed to limit the scope of the invention. It should be understood and obvious to one skilled in the art that the embodiments of the invention thus described may be further modified without departing from the spirit and scope of the invention.
The present invention generally relates to a system and method for the precise measurement of acceleration, movement, and other forces imparted on a body or object. Specifically, the invention relates to a system and method for measuring head accelerations in helmeted activities including, but not limited to, football, ice hockey, and lacrosse. Certain embodiments of the invention may include a wireless link to a remote recording station with near real-time data analysis and reporting of force and kinetics measured by the system.
According to an embodiment of the present invention, the system may be comprised of a plurality of inertial sensors that include, but are not limited to, accelerometers and gyroscopes. In a preferred embodiment, the plurality of inertial sensors may be organized into groups of inertial sensors sets, each of which is a cohesive unit capable of measuring kinematic data such as acceleration and, or velocity. In the preferred embodiment, one or more inertial sensor sets are attached to the head of person or the helmet that person is wearing so as to measure the head acceleration experienced by that person as the result of an impact force on the head or body. In an alternate preferred embodiment, the one or more inertial sensor sets could be appropriately aligned on any rigid body that a person desires to measure. One of ordinary skill in the art would appreciate that each inertial sensor set could include any suitable number of inertial sensors, and embodiments of the present invention are contemplated for use with any such number of inertial sensors.
According to a preferred embodiment, the system employs inertial sensors that are embedded in earpieces. Embedding sensors in earpieces effectively attaches the inertial sensors directly to the head, thereby allowing the sensors to more accurately measure the movement of the head itself, as opposed to movement of a helmet that is worn over the head. In embodiments where the inertial sensor is embedded in an earpiece, the sensor is molded within silicone or other similar plug material that is comfortable to wear. In some embodiments, the helmet of the person wearing the inertial sensors may provide further mechanical support for the molded earpiece. While the preferred embodiment uses sensors embedded in an earpiece, other schemes for tightly coupling the inertial sensors to the head of person include the use of sensors embedded in a mouth guard or a sensor placed on the teeth, chin, or forehead. One of ordinary skill in the art would appreciate that there are many suitable ways to tightly couple a sensor to the head of a user including, but not limited to, by incorporating a sensor into a wearable article that could be tightly coupled to the head or directly attaching the sensor to some portion of the head, and embodiments of the present invention are contemplated for use when any suitable direct coupling method
According to a preferred embodiment of the present invention, the system may be configured to accurately measure and derive six degree-of-freedom head acceleration, movement and kinematics. In the preferred embodiment, sensor data could ultimately be wirelessly transmitted to a remote recording station such as a sideline system in a sports activity or directly to computing device such as a computer, mobile phone or other handheld computing and communication device. The sideline system may consist of a wireless receiver and computing device that processes data in real-time and provides alerts, impact statistics and history per player, and other data visualization. As an illustrative example,
According to an embodiment of the present invention, the wireless data link unit may support a variety of wireless communication protocols to establish a connection with the inertial and other sensors utilized by the system. In a preferred embodiment, the wireless link between the wireless data link unit in the helmet and the inertial and other sensors connected to the head of a user could be short range employing a near-field inductive coupling, to enable both a data and power link operating on Low Frequency (LF) or High Frequency (HF) bands. For example, the wireless data link unit could be configured to transfer power to the earpiece sensors to support battery-free operation. Alternatively, such a connection could support charging of the internal battery of the earpiece sensor. In the preferred embodiment, the short range wireless link is similar to a radio frequency identification device (RFID) communication on LF or HF bands. In particular, electronics and standard communication protocols employed in RFID systems could be also used in this application. Furthermore, an ultra-high frequency (UHF) RFID could be used in this system. In the preferred embodiment, there is a two-way a wireless communication link between the wireless data link unit and the earpiece sensor to facilitate both receiving data from the earpiece sensor(s) and transferring commands and configuration to the earpiece sensor(s). In an alternate preferred embodiment, there may only be a one-way wireless communication link between the wireless data link unit and the earpiece sensor to facilitate the receipt of data that is measured by the earpiece sensor(s).
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According to a preferred embodiment of the present invention, when the system detects an impact or acceleration impact above a preset threshold, the system will automatically record the acceleration and impact data. Additionally, the detection of an impact or acceleration over a predefined threshold could be useful in identifying and treating possible injuries that the person might suffer as a result of an impact. For example, if an impact or acceleration threshold is exceeded, then the system could alert an appropriate person to perform an examination of the person that experienced the impact. In some embodiments, the system will also transmit the acceleration and impact data to the remote recording station, thereby allowing both a recording and an alerting feature. In a preferred embodiment, the remote recording station may be a laptop computer, tablet, mobile device, smart phone, or similar portable computing device, while in other embodiments that remote recording station is standalone data recording and processing unit to which a standard computing device can connect. In some embodiments, the remote recording station may be configured with a user interface, as well as data reporting and alert messaging software. The alerts messaging software could be used to display or send mobile messages including, but not limited to text, push messages, and email to other devices. In a preferred embodiment, the majority of the data processing and calculation processes will be accomplished on the remote recording station. In the preferred embodiment, the remote recording station will perform the most intensive data processing tasks, including, but not limited to the 6-DOF inertial sensor kinematics, as well as other sensor data signal processing, derivation and possibly multiple-sensor data fusion using software embodying an algorithm similar to the one discussed below. In some embodiments, certain data processing and calculation processes may be performed on board the inertial sensors. The data processing tasks that could be accomplished on board the inertial sensor include, but are not limited to, preliminary calculations, data integration, filtering, and compression. One of ordinary skill in the art would appreciate that there are numerous suitable methods for dividing up computing and calculating processes and embodiments of the present invention are contemplated for use with any such division of computing and calculating processes.
According to an embodiment of the present invention as shown in
According to an embodiment of the present invention, the head attached sensors may be the primary source of head acceleration and impact data. In a preferred embodiment, inertial sensors may be embedded into an earpiece, mouth guard, or other wearable article that a person could wear on, in, or around the head. As an illustrative example,
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According to an embodiment of the present invention, the system may also be useful for measuring the acceleration force delivered to any rigid body. In a preferred embodiment, the inertial sensor set could be appropriately aligned on any rigid body to measure the kinematics experienced by that body. A rigid body and appropriate placement of the sensors on that rigid body, for example aligning two sensors on the appropriate axis, is important in order to provide accurate measurement of body kinematics. One example of a practical application could be to measure the impact and resultant kinematics experienced by the various limbs and appendages of an anthropomorphic test device (i.e. crash test dummy). In this example, rather than only using one inertial sensor set, multiple inertial sensor sets might be used so that the acceleration of each limb or portion thereof could be accurately measured. For example, one set of inertial sensors would be used to measure the kinematics of the upper portion of a limb (e.g. upper arm or thigh), while another set of sensors would be used to measure the kinematics of a lower portion of a limb (e.g. forearm or lower leg kinematics, as physically speaking the forearm and upper arm are two separate rigid bodies. One of ordinary skill in the art would appreciate that the system and inertial sensors could be employed on any rigid body, and embodiments of the present invention are contemplated for such rigid body.
According to an embodiment of the present invention, the system may calculate impact and acceleration data from as few as two inertial sensors. In a first preferred embodiment, the system employs two inertial sensors, such as linear accelerometers, that are retained within earpieces that are worn by a user. One version of the earpiece based system employs two earpiece sensor systems, each including a 3-axis linear accelerometer and an active hearing aid system. In the preferred embodiment of the earpiece based system, at least one of the ear sensors may also include a single-axis gyroscope (rate of rotation sensor) with large dynamic range (±20,000 deg/sec) and high bandwidth (˜2 kHz). In the preferred embodiment, an algorithm such as the one discussed in the following paragraphs may be used to derive the three axis angular accelerations from the linear accelerometers and single axis gyroscope. One of ordinary skill in the art would appreciate that there numerous calculation methods and sensor arrangements that could be used to determine acceleration and impact data, and embodiments of the present invention are contemplated with for use with any such calculation method or sensor arrangement.
According to an embodiment of the present invention, acceleration and impact data may be calculated based on the data measured by two inertial sensors. In a preferred embodiment, the inertial sensors may be incorporated into earpieces. One possible example of how the coordinate system of the two earpiece sensor scheme could be implemented is illustrated in
According to an embodiment of the present invention, the body being measured is a rigid body. Continuing with the two earpiece example discussed above, the head of a person with an earpiece sensor in each of the ears represents one example of a rigid body. In the preferred embodiment a series of equations, algorithms, and other computations are utilized to produce a repeatable method of calculating the impact and acceleration data measured by six linear accelerometers and one gyroscope (e.g. three orthogonal axis linear sensors at each reference point, along with a gyroscope at one of those reference points), a preferred example of such a calculation method is detailed below.
According to a preferred embodiment of the calculation method, the kinematic relationship between point 1 (e.g. right ear) can be expressed in vector form as equation (A.1):
{right arrow over (A)}
1
={right arrow over (A)}
0+{right arrow over (ω)}×({right arrow over (ω)}×{right arrow over (r)}01)+{dot over ({right arrow over (ω)}×{right arrow over (r)}01 (A.1)
{right arrow over (A)}1 the linear acceleration of point 1 with respect to point 0 (e.g. skull), which can be measured with three linear accelerometers at point 1, therefore {right arrow over (A)}1=[Ax1,Ay1,Az1]T; {right arrow over (A)}0 is the linear acceleration of point 0, therefore {right arrow over (A)}0=[Ax0,Ay0,Az0]T; {right arrow over (ω)} is the angular velocity of the head, therefore {right arrow over (ω)}=[ωx,ωy,ωz]T; {dot over ({right arrow over (ω)} is the angular acceleration of the head, therefore {dot over ({right arrow over (ω)}=[{dot over (ω)}x,{dot over (ω)}y,{dot over (ω)}z]T; {right arrow over (r)}01 is the displacement vector between point 0 and point 1, therefore, in the scheme of the preferred calculation method, {right arrow over (r)}01=[0,r,0]T, where r is the distance between point 0 and 1. With a similar definition at point 2, {right arrow over (A)}2=[Ax2,Ay2,Az2]T and {right arrow over (r)}02=[0,−r,0]T in the scheme preferred calculation, the vector form expression of the kinematic relationship of point 0 and point 2 as the following equation (A.2):
{right arrow over (A)}
2
={right arrow over (A)}
0+{right arrow over (ω)}×({right arrow over (ω)}×{right arrow over (r)}02)+{dot over ({right arrow over (ω)}×{right arrow over (r)}02 (A.2)
Therefore, equation (A.1) can be expressed in the following matrix form:
Consequently, three equations can be derived from the matrix of (A.3)
{right arrow over (A)}
x1
={right arrow over (A)}
x0+ωxωyr−{dot over (ω)}zr (A.4)
A
y1
=A
y0−(ωx2+ωz2)r (A.5)
{right arrow over (A)}
z1
={right arrow over (A)}
z0+ωyωzr+{dot over (ω)}xr (A.6)
An analogous set of three equations can be derived for point 2:
{right arrow over (A)}
x2
={right arrow over (A)}
x0−ωxωyr+{dot over (ω)}zr (A.7)
A
y2
=A
y0+(ωx2+ωz2)r (A.8)
{right arrow over (A)}
z2
={right arrow over (A)}
z0−ωyωzr−{dot over (ω)}xr (A.9)
With addition of equations (A.4)+(A.7), (A.5)+(A.8) and (A.6)+(A.9), the result is:
A
x0=(Ax1+Ax2)/2 (A.10)
A
y0=(Ay1+Ay2)/2 (A.11)
A
z0=(Az1+Az2)/2 (A.12)
From equations (A.10) through (A.12), the three-axis linear accelerations of the origin can be calculated with the linear accelerations measured in the six linear accelerometers installed in the two earpieces sensors. Further, with subtraction of equations (A.7)−(A.4), (A.8)−(A.5) and (A.6)−(A.9), the result is:
{dot over (ω)}z=(Ax2−Ax1)/2r+ωxωy (A.13)
ωx2+ωz2=(Ay2−Ay1)/2r (A.14)
{dot over (ω)}x=(Az1−Az2)/2r−ωyωz (A.15)
From equations (A.13)-(A.15), the calculation scheme is not able to mathematically calculate the angular acceleration on y-axis, {dot over (ω)}y, but the other two angular accelerations can be numerically solved with integration. By adding an additional out-of-plane gyroscope (sensing axis is out of plane) that is aligning its sensing axis to y-axis to measure ωy, the angular acceleration of all three axes can be numerically solved with initial conditions.
According to an alternate preferred embodiment of the present invention, the two earpiece sensor system can be extended to include an additional reference or sensor point. In the preferred embodiment, a third point (point 3) may be established at the top of head to directly align to origin (point 0) on the z axis as illustrated in
From A.3, the following three equations can be derived:
A
x3
=A
x0
−W
x
W
z
r
03−{dot over (ω)}yr03 (A.17)
A
y3
=A
y0
−W
y
W
z
r
03+{dot over (ω)}xr03 (A.18)
A
z3
=A
z0+(ωx2+ωy2)r03 (A.19)
From (A.9) and (A.18), the following equation is derived:
{dot over (ω)}x=(Ay3−Ay0)/2r03−(Az2−Az0)/2r (A.20)
Therefore, {dot over (ω)}x can be also algebraically calculated by adding one more linear accelerometer at point 3 to measure y-axis acceleration. It is worthwhile to note that point 3 can be any point on the z axis. Furthermore, the third inertial sensor could be installed, for example, in a mouth guard, so long as the sensor is on z axis. From equation A.15, ωz can be calculated as follows:
ωz(Az0−Az2)/rωy−{dot over (ω)}x/ωy (A.21)
It is also important to note that, when deriving the kinematic parameters, integration steps should be generally avoided since it will require initial conditions to solve the differential equation. On the other hand, calculating acceleration with a derivative step is more accurate numerically since it only it involves only two steps that are next to each other in time domain. For example, since ωy can be measured, it is accurate to numerically calculate {dot over (ω)}y. With {dot over (ω)}y known, ωx can be calculated via equation A.17:
ωx=(Ax0−Ax3)/r03ωz−{dot over (ω)}y/ωz (A.22)
Finally, {dot over (ω)}z can also algebraically be solved from equation A.13. Therefore, by introducing two linear accelerometers at point 3 in the x and y directions (z direction accelerometer at point 3 is not needed.), {dot over (ω)}x,{dot over (ω)}y,{dot over (ω)}z can be derived without any integration and only one derivative step of ωy.
In the preferred embodiment, the three reference point calculation method would improve the accuracy from a two earpiece system, since most acceleration parameters are algebraically solved. As previously discussed, the location of the third inertial sensor set should be on the z-axis as shown in
According to an embodiment of the present invention, the system may employ a calculation method that uses a 6-DOF acceleration solution. The angular velocity ωx,ωy,ωz and angular acceleration {dot over (ω)}x,{dot over (ω)}y,{dot over (ω)}z cannot be algebraically calculated from the eqs. (A.13)-(A.15). Further, {dot over (ω)}y is not presented in these equations and therefore cannot be calculated. Therefore, in the most preferred embodiment the number of sensors sets may be reduced to only being attached at a first reference point and second reference point by adding a single-axis gyroscope at one of the reference points (for example, at the first reference point) to measure the ωy, and subsequently {dot over (ω)}y can be numerically calculated by derivative of ωy. Importantly, the addition of a gyroscope at one of the reference points allows the system accurately measure kinematic of a rigid body using only two reference points. With ωy known, equations (A.13) and (A.15), can be numerically solved providing initial conditions of ωx,ωz and {dot over (ω)}x,{dot over (ω)}z Typically, these initial conditions are conveniently set to zero when the system initializes. It is commonly believed that the accuracy of the numerical solution of these two differential equations can result in accumulated errors over time due to integration steps. However, as will be detailed in the following section, at the beginning of each impact, by assuming the initial conditions {dot over (ω)}x,{dot over (ω)}z being zero (which is an accurate assumption without impact) and resetting the initial conditions of ωx,ωz to zero (which can either be triggered with an impact event or by the system), the integration will be reduced to tens of milliseconds. As a result, the numerical solution of {dot over (ω)}x,{dot over (ω)}z is accurate in a large measured range. Hence, the two earpiece system which contains six linear accelerometers and one single-axis gyroscope in the y-axis direction can accurately measure the kinematics of a rigid body (e.g. the head) in 6-DOF.
The calculation methods discussed above are provided by way of example are not to be construed in any way as to limit the scope of the invention. One of ordinary skill in the art would appreciate that there are numerous alternative calculation methods that could be used without departing from the spirit and scope of the invention described herein, and embodiments of the present invention are contemplated for use with any such alternative calculation method.
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It should be noted that the features illustrated in the drawings are not necessarily drawn to scale, and features of one embodiment may be employed with other embodiments as the skilled artisan would recognize, even if not explicitly stated herein. Descriptions of well-known components may be omitted so as to not unnecessarily obscure the embodiments.
While multiple embodiments are disclosed, still other embodiments of the present invention will become apparent to those skilled in the art from this detailed description. The invention is capable of myriad modifications in various obvious aspects, all without departing from the spirit and scope of the present invention. Accordingly, the drawings and descriptions are to be regarded as illustrative in nature and not restrictive.
| Number | Date | Country | |
|---|---|---|---|
| 61965974 | Feb 2014 | US |
