This description generally relates to surgical robotics, and particularly to navigation of a medical instrument within a tubular network of a patient's body.
Bronchoscopy is a medical procedure that allows a physician to examine the inside conditions of a patient's lung airways, such as bronchi and bronchioles. The lung airways carry air from the trachea, or windpipe, to the lungs. During the medical procedure, a thin, flexible tubular tool, known as a bronchoscope, may be inserted into the patient's mouth and passed down the patient's throat into his/her lung airways, and patients are generally anesthetized in order to relax their throats and lung cavities for surgical examinations and operations during the medical procedure.
A conventional bronchoscope typically includes a light source and a small camera that allows a physician to inspect a patient's windpipe and airways, and a rigid tube may be used in conjunction with the bronchoscope for surgical purposes, e.g., when there is a significant amount of bleeding in the lungs of the patient or when a large object obstructs the throat of the patient. When the rigid tube is used, the patient is often anesthetized. Coincident with the rise of other advanced medical devices, the use of robotic bronchoscopes are increasingly becoming a reality. Robotic bronchoscopes provide tremendous advantages in navigation through tubular networks. They are easy to use and allow therapy and biopsies to be administered conveniently even during the bronchoscopy stage.
Apart from mechanical devices or platforms, e.g., robotic bronchoscopes described above, various methods and software models may be used to help with the surgical operations. As an example, a computerized tomography (CT) scan of the patient's lungs is often performed during pre-operation of a surgical examination. Data from the CT scan may be used to generate a three dimensional (3D) model of airways of the patient's lungs, and the generated 3D model enables a physician to access a visual reference that may be useful during the operative procedure of the surgical examination.
However, previous techniques for navigation of tubular networks still have challenges, even when employing medical devices (e.g., robotic bronchoscopes) and when using existing methods (e.g., performing CT scans and generating 3D models). As one example, motion estimation of a medical device (e.g., a bronchoscope tool) inside a patient's body may not be accurate based on location and orientation change of the device, and as a result the device's position may not be accurately or correctly localized inside the patient's body in real time. Inaccurate location information for such an instrument may provide misleading information to the physician that uses the 3D model as a visual reference during medical operation procedures.
Thus, there is a need for improved techniques for navigating through a network of tubular structures.
The methods and apparatus disclosed herein provide improved navigation through tubular networks such as lung airways by providing improved estimation of location and orientation information of a medical instrument like a flexible or rigid elongated medical instrument (e.g., an endoscope) within the tubular network.
As one example, the apparatus is a robotic endoscopic tool to acquire “raw” location and orientation information (collectively, input data) of a desired anatomical site or of the endoscopic tool within the tubular network. The endoscopic tool includes a flexible tip and an instrument device manipulator (IDM) coupled to the endoscopic tool. Devices such as an electromagnetic sensor (EM sensor), an imaging device (e.g., optical sensor), and a robotic control system controlling the medical instrument are coupled to the instrument tip to collect the input data as the endoscopic tool enters and navigates through the tubular network. The IDM is used to control movement and position of different robotic components (e.g., the endoscopic tool) of the surgical robotic system. A processor is coupled to the endoscopic tool to receive the input data to determine moment-by-moment movements and location and orientation information of the medical instrument (e.g., a instrument tip) within the tubular network.
The processor is instructed by a navigation configuration system to use the input data to estimate the state of the medical instrument, which may include information such as position, orientation, relative and absolute depth, branch selection, etc. The processor may be further instructed to use the estimated state to locate a specific site within a tubular network and/or to determine navigation information for what positions/orientations the medical instrument should travel through to arrive at the specific site, which may be referred to as the output data or navigation data.
The navigation configuration system further includes multiple algorithm modules employing various navigation algorithms for providing the estimated state and navigation data. Example algorithms used include EM-based algorithms, image-based algorithms, and robot-based algorithms. The estimated state and navigation data generated after employing these various algorithms makes use of any one or more of the EM-based input data, image-based input data, and robot-based input data.
In some embodiments, probability distributions together with confidence values are generated by the algorithm modules, which are used to determine the medical instrument's estimated state. The “probability” of the “probability distribution”, as used herein, refers to a likelihood of an estimation or identification of location and/or orientation of the medical instrument being correct. For example, different probabilities may be calculated indicating the relative likelihood that the medical instrument is in one of several different possible airways within the lung. In contrast, the “confidence value, as used herein, reflects a measure of confidence in the estimation of the state provided by one of the algorithms. For example, relatively close to the airway opening, a particular algorithm may have a high confidence in its estimations of medical instrument position and orientation; but further into the bottom of the lung the medical instrument travels, that confidence value may drop. Generally, the confidence value is based on one or more “external” factors relating to the process by which a result is determined, whereas probability is a relative measure that arises when trying to determine possible results from a single algorithm. The algorithms, probabilities, and confidence values may be variously combined to arrive at the estimated state and navigation data.
In one embodiment, before executing an actual surgical operation on a patient, a sequence of pre-operative steps employing the improved navigation of surgical instruments (e.g., endoscopic) within a tubular network of the patient may be taken. Initially, a CT scan of the tubular network is obtained to generate a 3D model of the tubular network. A target area (e.g., a lesion to biopsy) within the tubular network is selected and a corresponding path for a surgical instrument to travel through the tubular network to reach the target area is automatically planned and displayed to a user (e.g., a physician responsible for the surgical operation). After the path is determined, a virtual endoscopic may be applied to travel through the tubular network to arrive at the target area. In the actual surgical operation, the CT scan, the generated 3D model as well as other input data (e.g., image data, EM data, robot data collected over the duration of the surgery) is combined and repeatedly analyzed during the surgery via the surgical configuration system to provide an estimation of the real-time movement information and location/orientation information of the surgical instrument (e.g., the endoscope) within the tubular network along with navigation information, which allows for more convenient operations by the physician.
Reference will now be made in detail to several embodiments, examples of which are illustrated in the accompanying figures. It is noted that wherever practicable similar or like reference numbers may be used in the figures and may indicate similar or like functionality. The figures depict embodiments of the described system (or method) for purposes of illustration only. One skilled in the art will readily recognize from the following description that alternative embodiments of the structures and methods illustrated herein may be employed without departing from the principles described herein.
In some embodiments, the base 101 includes wheels 115 to transport the surgical robotic system 100. Mobility of the surgical robotic system 100 helps accommodate space constraints in a surgical operating room as well as facilitate appropriate positioning and movement of surgical equipment. Further, the mobility allows the robotic arms 102 to be configured such that the robotic arms 102 do not interfere with the patient, physician, anesthesiologist, or any other equipment. During procedures, a user may control the robotic arms 102 using control devices such as the command console.
In some embodiments, the robotic arm 102 includes set up joints that use a combination of brakes and counter-balances to maintain a position of the robotic arm 102. The counter-balances may include gas springs or coil springs. The brakes, e.g., fail safe brakes, may be include mechanical and/or electrical components. Further, the robotic arms 102 may be gravity-assisted passive support type robotic arms.
Each robotic arm 102 may be coupled to an instrument device manipulator (IDM) 117 using a mechanism changer interface (MCI) 116. The IDM 117 can be removed and replaced with a different type of IDM, for example, a first type of IDM manipulates an endoscope, while a second type of IDM manipulates a laparoscope. The MCI 116 includes connectors to transfer pneumatic pressure, electrical power, electrical signals, and optical signals from the robotic arm 102 to the IDM 117. The MCI 116 can be a set screw or base plate connector. The IDM 117 manipulates surgical instruments such as the endoscope 118 using techniques including direct drive, harmonic drive, geared drives, belts and pulleys, magnetic drives, and the like. The MCI 116 is interchangeable based on the type of IDM 117 and can be customized for a certain type of surgical procedure. The robotic 102 arm can include a joint level torque sensing and a wrist at a distal end, such as the KUKA AG® LBR5 robotic arm.
The endoscope 118 is a tubular and flexible surgical instrument that is inserted into the anatomy of a patient to capture images of the anatomy (e.g., body tissue). In particular, the endoscope 118 includes one or more imaging devices (e.g., cameras or other types of optical sensors) that capture the images. The imaging devices may include one or more optical components such as an optical fiber, fiber array, or lens. The optical components move along with the tip of the endoscope 118 such that movement of the tip of the endoscope 118 results in changes to the images captured by the imaging devices. The endoscope 118 is further described with reference to
Robotic arms 102 of the surgical robotic system 100 manipulate the endoscope 118 using elongate movement members. The elongate movement members may include pull wires, also referred to as pull or push wires, cables, fibers, or flexible shafts. For example, the robotic arms 102 actuate multiple pull wires coupled to the endoscope 118 to deflect the tip of the endoscope 118. The pull wires may include both metallic and non-metallic materials such as stainless steel, Kevlar, tungsten, carbon fiber, and the like. The endoscope 118 may exhibit nonlinear behavior in response to forces applied by the elongate movement members. The nonlinear behavior may be based on stiffness and compressibility of the endoscope 118, as well as variability in slack or stiffness between different elongate movement members.
The console base 201 may include a central processing unit, a memory unit, a data bus, and associated data communication ports that are responsible for interpreting and processing signals such as camera imagery and tracking sensor data, e.g., from the endoscope 118 shown in
The user 205 can control a surgical instrument such as the endoscope 118 using the command console 200 in a velocity mode or position control mode. In velocity mode, the user 205 directly controls pitch and yaw motion of a distal end of the endoscope 118 based on direct manual control using the control modules. For example, movement on the joystick 204 may be mapped to yaw and pitch movement in the distal end of the endoscope 118. The joystick 204 can provide haptic feedback to the user 205. For example, the joystick 204 vibrates to indicate that the endoscope 118 cannot further translate or rotate in a certain direction. The command console 200 can also provide visual feedback (e.g., pop-up messages) and/or audio feedback (e.g., beeping) to indicate that the endoscope 118 has reached maximum translation or rotation.
In position control mode, the command console 200 uses a three-dimensional (3D) map of a patient and pre-determined computer models of the patient to control a surgical instrument, e.g., the endoscope 118. The command console 200 provides control signals to robotic arms 102 of the surgical robotic system 100 to manipulate the endoscope 118 to a target location. Due to the reliance on the 3D map, position control mode requires accurate mapping of the anatomy of the patient.
In some embodiments, users 205 can manually manipulate robotic arms 102 of the surgical robotic system 100 without using the command console 200. During setup in a surgical operating room, the users 205 may move the robotic arms 102, endoscopes 118, and other surgical equipment to access a patient. The surgical robotic system 100 may rely on force feedback and inertia control from the users 205 to determine appropriate configuration of the robotic arms 102 and equipment.
The display modules 202 may include electronic monitors, virtual reality viewing devices, e.g., goggles or glasses, and/or other means of display devices. In some embodiments, the display modules 202 are integrated with the control modules, for example, as a tablet device with a touchscreen. Further, the user 205 can both view data and input commands to the surgical robotic system 100 using the integrated display modules 202 and control modules.
The display modules 202 can display 3D images using a stereoscopic device, e.g., a visor or goggle. The 3D images provide an “endo view” (i.e., endoscopic view), which is a computer 3D model illustrating the anatomy of a patient. The “endo view” provides a virtual environment of the patient's interior and an expected location of an endoscope 118 inside the patient. A user 205 compares the “endo view” model to actual images captured by a camera to help mentally orient and confirm that the endoscope 118 is in the correct—or approximately correct-location within the patient. The “endo view” provides information about anatomical structures, e.g., the shape of an intestine or colon of the patient, around the distal end of the endoscope 118. The display modules 202 can simultaneously display the 3D model and computerized tomography (CT) scans of the anatomy the around distal end of the endoscope 118. Further, the display modules 202 may overlay the already determined navigation paths of the endoscope 118 on the 3D model and CT scans.
In some embodiments, a model of the endoscope 118 is displayed with the 3D models to help indicate a status of a surgical procedure. For example, the CT scans identify a lesion in the anatomy where a biopsy may be necessary. During operation, the display modules 202 may show a reference image captured by the endoscope 118 corresponding to the current location of the endoscope 118. The display modules 202 may automatically display different views of the model of the endoscope 118 depending on user settings and a particular surgical procedure. For example, the display modules 202 show an overhead fluoroscopic view of the endoscope 118 during a navigation step as the endoscope 118 approaches an operative region of a patient.
In some embodiments, the IDM 117 includes additional sensors, e.g., inclinometers or accelerometers, to determine an orientation of the IDM 117. Based on measurements from the additional sensors and/or the strain gauge 334, the surgical robotic system 100 can calibrate readings from the strain gauge 334 to account for gravitational load effects. For example, if the IDM 117 is oriented on a horizontal side of the IDM 117, the weight of certain components of the IDM 117 may cause a strain on the motor mount 333. Accordingly, without accounting for gravitational load effects, the strain gauge 334 may measure strain that did not result from strain on the output shafts.
Both the sheath base 414 and the leader base 418 include drive mechanisms (e.g., the independent drive mechanism further described with reference to
The endoscope 118 can navigate the anatomy of a patient with ease due to the multiple degrees of freedom provided by pull wires coupled to the sheath 411 and the leader 415. For example, four or more pull wires may be used in either the sheath 411 and/or the leader 415, providing eight or more degrees of freedom. In other embodiments, up to three pull wires may be used, providing up to six degrees of freedom. The sheath 411 and leader 415 may be rotated up to 360 degrees along a longitudinal axis 406, providing more degrees of motion. The combination of rotational angles and multiple degrees of freedom provides a user of the surgical robotic system 100 with a user friendly and instinctive control of the endoscope 118.
Additional fields may be applied by further field generators to aid in tracking instruments within the body. For example, a planar field generator (PFG) may be attached to a system arm adjacent to the patient and oriented to provide an EM field at an angle. Reference sensors 513 may be placed on the patient's body to provide local EM fields to further increase tracking accuracy. Each of the reference sensors 513 may be attached by cables 514 to a command module 515. The cables 514 are connected to the command module 515 through interface units 516 which handle communications with their respective devices as well as providing power. The interface unit 516 is coupled to a system control unit (SCU) 517 which acts as an overall interface controller for the various entities mentioned above. The SCU 517 also drives the field generators (e.g., WFG 512), as well as collecting sensor data from the interface units 516, from which it calculates the position and orientation of sensors within the body. The SCU 517 may be coupled to a personal computer (PC) 518 to allow user access and control.
The command module 515 is also connected to the various IDMs 519 coupled to the surgical robotic system 500 as described herein. The IDMs 519 are typically coupled to a single surgical robotic system (e.g., the surgical robotic system 500) and are used to control and receive data from their respective connected robotic components; for example, robotic endoscope tools or robotic arms. As described above, as an example, the IDMs 519 are coupled to an endoscopic tool (not shown here) of the surgical robotic system 500
The command module 515 receives data passed from the endoscopic tool. The type of received data depends on the corresponding type of instrument attached. For example, example received data includes sensor data (e.g., image data, EM data), robot data (e.g., endoscopic and IDM physical motion data), control data, and/or video data. To better handle video data, a field-programmable gate array (FPGA) 520 may be configured to handle image processing. Comparing data obtained from the various sensors, devices, and field generators allows the SCU 517 to precisely track the movements of different components of the surgical robotic system 500, and for example, positions and orientations of these components.
In order to track a sensor through the patient's anatomy, the EM tracking system 505 may require a process known as “registration,” where the system finds the geometric transformation that aligns a single object between different coordinate systems. For instance, a specific anatomical site on a patient has two different representations in the 3D model coordinates and in the EM sensor coordinates. To be able to establish consistency and common language between these two different coordinate systems, the EM tracking system 505 needs to find the transformation that links these two representations, i.e., registration. For example, the position of the EM tracker relative to the position of the EM field generator may be mapped to a 3D coordinate system to isolate a location in a corresponding 3D model.
In some embodiments, a pre-operative software package is also used to analyze and derive a navigation path based on the generated 3D model of the anatomical space. For example, the software package may derive a shortest navigation path to a single lesion (marked by a centerline coordinate) or to several lesions. This navigation path may be presented to the operator intra-operatively either in two-dimensions or three-dimensions depending on the operator's preference.
In some embodiments, the distal end of the endoscopic tool within the patient's anatomy is tracked, and the tracked location of the endoscopic tool within the patient's anatomy is mapped and placed within a computer model, which enhances the navigational capabilities of the tubular network. In order to track the distal working end of the endoscopic tool, i.e., location and orientation of the working end, a number of approaches may be employed, either individually or in combination.
In a sensor-based approach to localization, a sensor, such as an electromagnetic (EM) tracker, may be coupled to the distal working end of the endoscopic tool to provide a real-time indication of the progression of the endoscopic tool. In EM-based tracking, an EM tracker, embedded in the endoscopic tool, measures the variation in the electromagnetic field created by one or more EM transmitters. The transmitters (or field generators), may be placed close to the patient (e.g., as part of the surgical bed) to create a low intensity magnetic field. This induces small-currents in sensor coils in the EM tracker, which are correlated to the distance and angle between the sensor and the generator. The electrical signal may then be digitized by an interface unit (on-chip or PCB) and sent via cables/wiring back to the system cart and then to the command module. The data may then be processed to interpret the current data and calculate the precise location and orientation of the sensor relative to the transmitters. Multiple sensors may be used at different locations in the endoscopic tool, for instance in leader and sheath in order to calculate the individual positions of those components. Accordingly, based on readings from an artificially-generated EM field, the EM tracker may detect changes in field strength as it moves through the patient's anatomy.
The points on the 3D model may also be determined and adjusted based on correlation between the 3D model itself, image data received from optical sensors (e.g., cameras) and robot data from robot commands. The 3D transformation between these points and collected EM data points will determine the initial registration of the EM coordinate system to the 3D model coordinate system.
In some embodiments, each of the graphs shown in
In terms of detailed analysis (e.g., mathematical analysis) and methods of the registration, in some embodiments, a registration matrix can be used to perform the registration between the EM tracking system and the 3D model, and as one example, the matrix may represent a translation and rotation in 6 dimensions. In alternative embodiments, a rotational matrix and a translation vector can be used for performing the registration.
From a perspective view of mathematical reasoning, as one example, applying a registration transform involves a shift from one coordinate system (x,y,z) to a new coordinate system (x′,y′,z′) that may in general have its axes rotated to a different 3D orientation as well as having its origin shifted an arbitrary amount in each dimension. For example, a rotation to an azimuthal angle of radians θ may be expressed by the matrix M1, a rotation to an inclination angle of φ radians may be expressed by the matrix M2 etc., and further rotational matrices may be written as the product of rotation matrices. Similarly, a translation vector of (Δx Δy Δz) may be chosen to represent a translation of the origin in the x, y and z axes by Δx, Δy, and Δz respectively.
The registration transform may be determined by such methods as singular value decomposition on a cross correlation matrix between measured EM positions and estimated positions in the 3D model. The transformation matrix components may then be extracted from the decomposition, e.g., by identifying the appropriate principle components. An error signal may also be generated from the residuals of the determined transform, and the size of the error signal may be used to determine a level of confidence in the position. As further data are taken and the registration transform is determined more accurately, this error signal may decrease, indicating an increasing confidence in positions estimated in this manner.
The input data, as used herein, refers to raw data gathered from and/or processed by input devices (e.g., command module, optical sensor, EM sensor, IDM) for generating estimated state information for the endoscope as well as output navigation data. The multiple input data stores 910-940 include an image data store 910, an EM data store 920, a robot data store 930, and a 3D model data store 940. Each type of the input data stores stores the name-indicated type of data for access and use by the navigation module 905. Image data may include one or more image frames captured by the imaging device at the instrument tip, as well as information such as frame rates or timestamps that allow a determination of the time elapsed between pairs of frames. Robot data includes data related to physical movement of the medical instrument or part of the medical instrument (e.g., the instrument tip or sheath) within the tubular network. Example robot data includes command data instructing the instrument tip to reach a specific anatomical site and/or change its orientation (e.g., with a specific pitch, roll, yaw, insertion, and retraction for one or both of a leader and a sheath) within the tubular network, insertion data representing insertion movement of the part of the medical instrument (e.g., the instrument tip or sheath), IDM data, and mechanical data representing mechanical movement of an elongate member of the medical instrument, for example motion of one or more pull wires, tendons or shafts of the endoscope that drive the actual movement of the medial instrument within the tubular network. EM data is collected by EM sensors and/or the EM tracking system as described above. 3D model data is derived from 2D CT scans as described above.
The output navigation data store 990 receives and stores output navigation data provided by the navigation module 905. Output navigation data indicates information to assist in directing the medical instrument through the tubular network to arrive at a particular destination within the tubular network, and is based on estimated state information for the medical instrument at each instant time, the estimated state information including the location and orientation of the medical instrument within the tubular network. In one embodiment, as the medical instrument moves inside the tubular network, the output navigation data indicating updates of movement and location/orientation information of the medical instrument is provided in real time, which better assists its navigation through the tubular network.
To determine the output navigation data, the navigation module 905 locates (or determines) the estimated state of the medical instrument within a tubular network. As shown in
The state estimator 980 included in the navigation module 905 receives various intermediate data and provides the estimated state of the instrument tip as a function of time, where the estimated state indicates the estimated location and orientation information of the instrument tip within the tubular network. The estimated state data are stored in the estimated data store 985 that is included in the state estimator 980.
The various stores introduced above represent estimated state data in a variety of ways. Specifically, bifurcation data refers to the location of the medical instrument with respect to the set of branches (e.g., bifurcation, trifurcation or a division into more than three branches) within the tubular network. For example, the bifurcation data can be set of branch choices elected by the instrument as it traverses through the tubular network, based on a larger set of available branches as provided, for example, by the 3D model which maps the entirety of the tubular network. The bifurcation data can further include information in front of the location of the instrument tip, such as branches (bifurcations) that the instrument tip is near but has not yet traversed through, but which may have been detected, for example, based on the tip's current position information relative to the 3D model, or based on images captured of the upcoming bifurcations.
Position data indicates three-dimensional position of some part of the medical instrument within the tubular network or some part of the tubular network itself. Position data can be in the form of absolute locations or relative locations relative to, for example, the 3D model of the tubular network. As one example, position data can include the position of a specific branch.
Depth data indicates depth information of the instrument tip within the tubular network. Example depth data includes the total insertion (absolute) depth of the medical instrument into the patient as well as the (relative) depth within an identified branch. Depth data may be determined based on position data regarding both the tubular network and medical instrument.
Orientation data indicates orientation information of the instrument tip, and may include overall roll, pitch, and yaw in relation to the 3D model as well as pitch, roll, raw within an identified branch.
Turning back to
As the state estimator 980 may use several different kinds of intermediate data to arrive at its estimates of the state of the medical instrument within the tubular network, the state estimator 980 is configured to account for the various different kinds of errors and uncertainty in both measurement and analysis that each type of underlying data (robotic, EM, image) and each type of algorithm module might create or carry through into the intermediate data used for consideration in determining the estimated state. To address these, two concepts are discussed, that of a probability distribution and that of confidence value.
The “probability” of the “probability distribution”, as used herein, refers to a likelihood of an estimation of a possible location and/or orientation of the medical instrument being correct. For example, different probabilities may be calculated by one of the algorithm modules indicating the relative likelihood that the medical instrument is in one of several different possible branches within the tubular network. In one embodiment, the type of probability distribution (e.g., discrete distribution or continuous distribution) is chosen to match features of an estimated state (e.g., type of the estimated state, for example continuous position information vs. discrete branch choice). As one example, estimated states for identifying which segment the medical instrument is in for a trifurcation may be represented by a discrete probability distribution, and may include three discrete values of 20%, 30% and 50% representing chance as being in the location inside each of the three branches as determined by one of the algorithm modules. As another example, the estimated state may include a roll angle of the medical instrument of 40±5 degrees and a segment depth of the instrument tip within a branch may be is 4±1 mm, each represented by a Gaussian distribution which is a type of continuous probability distribution. Different methods can be used to generate the probabilities, which will vary by algorithm module as more fully described below with reference to later figures.
In contrast, the “confidence value,” as used herein, reflects a measure of confidence in the estimation of the state provided by one of the algorithms based one or more factors. For the EM-based algorithms, factors such as distortion to EM Field, inaccuracy in EM registration, shift or movement of the patient, and respiration of the patient may affect the confidence in estimation of the state. Particularly, the confidence value in estimation of the state provided by the EM-based algorithms may depend on the particular respiration cycle of the patient, movement of the patient or the EM field generators, and the location within the anatomy where the instrument tip locates. For the image-based algorithms, examples factors that may affect the confidence value in estimation of the state include illumination condition for the location within the anatomy where the images are captured, presence of fluid, tissue, or other obstructions against or in front of the optical sensor capturing the images, respiration of the patient, condition of the tubular network of the patient itself (e.g., lung) such as the general fluid inside the tubular network and occlusion of the tubular network, and specific operating techniques used in, e.g., navigating or image capturing.
For example one factor may be that a particular algorithm has differing levels of accuracy at different depths in a patient's lungs, such that relatively close to the airway opening, a particular algorithm may have a high confidence in its estimations of medical instrument location and orientation, but the further into the bottom of the lung the medical instrument travels that confidence value may drop. Generally, the confidence value is based on one or more systemic factors relating to the process by which a result is determined, whereas probability is a relative measure that arises when trying to determine the correct result from multiple possibilities with a single algorithm based on underlying data.
As one example, a mathematical equation for calculating results of an estimated state represented by a discrete probability distribution (e.g., branch/segment identification for a trifurcation with three values of an estimated state involved) can be as follows:
In the example mathematical equation above, Si(i=1, 2, 3) represents possible example values of an estimated state in a case where 3 possible segments are identified or present in the 3D model, CEM, Cimage, and CRobot represents confidence value corresponding to EM-based algorithm, image-based algorithm, and robot-based algorithm and Pi,EM, Pi,Image, and Pi,Robot represent the probabilities for segment i.
To better illustrate the concepts of probability distributions and confidence value associated with estimate states, a detailed example is provided here. In this example, a user is trying to identify segment where a instrument tip is located in a certain trifurcation within a central airway (the predicted region) of the tubular network, and three algorithms modules are used including EM-based algorithm, image-based algorithm, and robot-based algorithm. In this example, a probability distribution corresponding to the EM-based algorithm may be 20% in the first branch, 30% in the second branch, and 50% in the third (last) branch, and the confidence value applied to this EM-based algorithm and the central airway is 80%. For the same example, a probability distribution corresponding to the image-based algorithm may be 40%, 20%, 40% for the first, second, and third branch, and the confidence value applied to this image-based algorithm is 30%; while a probability distribution corresponding to the robot-based algorithm may be 10%, 60%, 30% for the first, second, and third branch, and the confidence value applied to this image-based algorithm is 20%. The difference of confidence values applied to the EM-based algorithm and the image-based algorithm indicates that the EM-based algorithm may be a better choice for segment identification in the central airway, compared with the image-based algorithm. An example mathematical calculation of a final estimated state can be:
for the first branch: 20%*80%+40%*30%+10%*20%=30%; for the second branch: 30%*80%+20%*30%+60%*20%=42%; and for the third branch: 50%*80%+40%*30%+30%*20%=58%.
In this example, the output estimated state for the instrument tip can be the result values (e.g., the resulting 30%, 42% and 58%), or derivative value from these result values such as the determination that the instrument tip is in the third branch.
As above the estimated state may be represented in a number of different ways. For example, the estimated state may further include an absolute depth from airway to location of the tip of the instrument, as well as a set of data representing the set of branches traversed by the instrument within the tubular network, the set being a subset of the entire set of branches provided by the 3D model of the patient's lungs, for example. The application of probability distribution and confidence value on estimated states allows improved accuracy of estimation of location and/or orientation of the instrument itp within the tubular network.
A shown in
The EM-based algorithm module 950 further includes an EM registration module 952 and a branch selection module 954. The EM registration module 952 performs registration of EM coordinates to 3D model coordinates.
As described above with respect to Section V, based on the received data, the EM registration module 952 performs on-the-fly registration of the EM tracking data to the 3D model. After the initial registration is determined, the EM registration module 952 continually updates its estimate of the registration transform based on received data, so as to increase transform accuracy as well as to compensate for changes to the navigation configuration system 900, e.g., changes due to movement of the patient. The EM registration module 952 outputs registration transform data to the registration transform data store 1053. In one embodiment, the registration transform data reflects the best fit registration transform, and it can also be sent to the state estimator 980, as well as to the branch selection module 954.
Turning back to
The object-based algorithm module 962 detects and analyzes objects present in the field of view of the image data, such as branch openings or particles, to determine estimated state. In one embodiment, it includes an object detection module 963, and object mapping module 964, a topological reasoning module 965, and a motion estimation module 966. In some embodiments, it may or may not be necessary to apply the different modules 963, 964, 965 and 966 in a fixed sequential order, and when actually executing a process of object-based algorithm described by the object-based algorithm module 962, the order of employing each module within the module 962 is a different order than shown in
Turning to
In one embodiment, in a case where the estimated state and bifurcation data for a particular instant in time indicate that the instrument tip is at or near a branch point, this movement measurement may include an identification of an estimated new branch that the instrument tip is estimated to be entering or have entered. For example, if the bifurcation data indicates that the endoscope tip is at a branch point, pitch and yaw movements can be measured to determine changes in pointing angle, and the new estimated angle can be compared with the expected angles of different branches in the 3D model of the tubular network. A determination can then be made of which branch the endoscope is facing towards when it is moved into a new branch. Estimated state data reflecting each of these estimates of new position, orientation, and/or branch entry are output to the state estimator 980.
Specifically, the object detection module 964 detects, within an image, one or more objects and one or more features of the object(s) that may indicate branch points in a tubular network, and then determines their position, size, and orientation. Objects may be calculated or represented in the object detection module 964 as being two-dimensional shapes, such as circles/ovals/ellipses for detected branch points. This corresponds to the fact that the image data used to capture the objects are images from the camera on the instrument tip pointed usually along an axis substantially parallel to the direction of the segment in which the instrument is located. As a consequence, objects such as branches in the tubular network appear as simple shapes such as ellipses in the images. In one embodiment, in a given image within a tubular network, each branch will typically appear as a dark, approximately elliptical region, and these regions may be detected automatically by a processor, using region-detection algorithms such as maximally stable extremal regions (MSER) as objects. These regions may then be fit to define an object (e.g., ellipse), with appropriate free parameters such as ellipse center, major and minor axes, and angle within the image. The roll measurement and the identified matching between model lumens and lumens in the image are also output to the state estimator 980, as well as topological reasoning module 966. An example of identified objects superimposed on an image of a bronchial network, along with a link joining their centers, is described with reference to
In one embodiment, “airway” can also be identified as an object present in the image data. The object detection module 964 may use light reflective intensity combined with other techniques to identify airways.
The object detection module 964 may further track detected objects across a set of sequential image frames to detect which branch has been entered from among a set of possible branches in the tubular network. Tracking the relative positions of the objects within the image frames may be used to determine a local, absolute measurement of roll angle within a branched network.
Based on the received input data, the object mapping module 965 outputs object mapping data to an object mapping data store 1065 as well as image-based estimated state data (current) to the estimated state data store 985. As one example, the object mapping data indicates mapping information between physical branches (lumens) shown in image data (based on the detected objects) and virtual branch information generated by 3D model. The estimated state data (current) generated by module 965 includes identification of each branch of the tubular network visible within the image as well as an estimate of the roll of the endoscope tip relative to the 3D model. As above, the estimated state data (current) can be represented as a probability distribution. The identification of the visible lumens may include coordinates in x and y of each identified lumen center within the image, for example based on object sizes correlated with the 3D model virtual image data, as well as an association of each identified lumen location with a particular branch of the tubular network.
In some embodiments, since the 3D model is generated prior to the endoscopic procedure, the virtual images of the tubular network may be pre-computed to speed up processing. In alternative embodiments not shown, the tubular network may be represented by a structure such as a tree diagram of lumen midlines, with each such midline describing a 3D path, so that an expected position of local branch centers as seen from any arbitrary perspective may be compared to the identified actual locations of branch centers based on EM data and/or robot data.
If both images 1110 and 1120 are presented to a user via a user interface, the 3D model image 1120 may be rotated or translated to increase the closeness of fit between actual image 1110 and virtual image 1120, and the amount of roll needed for the rotation or translation can be output as a correction to the current estimated state (e.g., roll of the instrument tip).
In one embodiment, the probability applied to a possible estimated state as generated by the object mapping module 965 is based on the closeness of fit between the identified centers 1111 and 1112 detected in the actual image 1110 and estimated centers 1121 and 1121 in the 3D model image 1120, and as one example, the probability of being in the lumen with identified center 1112 drops as the distance between the estimated center 1122 and identified center 1112 increases.
Based on the received data, the topological reasoning module 966 determines which branch the endoscope tip is facing towards, thereby generating a prediction of which branch will be entered if the endoscope is moved forward. As above, the determination may be represented as a probability distribution. In one embodiment, when the instrument tip is moving forward, the topological reasoning module 966 determines that a new branch of the tubular network has been entered and identifies which branch the tip has moved into. The determination of which branch is being faced and which segment is entered may be made, for example, by comparing the relative sizes and locations of different identified objects (e.g., ellipses). As one example, as a particular lumen branch is entered, a corresponding detected object will grow larger in successive image frames, and will also become more centered in those frames. If this is behavior is identified for one of the objects, the topological reasoning module 966 assigns an increasingly large probability to a corresponding estimated state as the endoscope tip moves towards the lumen associated with that object. Other branches are assigned correspondingly lower probabilities, until finally their object shapes disappear from images entirely. In one embodiment, the probability of the medical instrument being in those branches depends only on the probability that the branches were misidentified by the object mapping module 964. The output of the topological reasoning module 966 is image-based estimated state data representing estimated probabilities of being in each of a set of possible branches within the branched network.
The robot-based algorithm module 970 uses robot data to provide robot-based estimated state data to the state estimator 980.
Although in an ideal system, specifically input pitch, roll, yaw, insertion, and retraction commands given to the IDM to control the instrument tip would result in exactly-as-input changes in the motion of the instrument tip, in practice this is generally not the case. Friction in the system, nonlinearities in instrument motion, blockages, and other effects may cause the input motion to vary from the output motion. As such, the estimated state data provided by the raw robotic input data is just that, an estimate as to actual motion. As per the algorithms above, the estimated state data determined from the robotic data may be represented in a probabilistic manner to represent this uncertainty in actual position information.
In
For example, if the surgical robotic system 100 commands to move the endoscope tip forward a certain distance, e.g., 1 mm, the new or updated probability distribution may be estimated as centered 1 mm forward compared to the previous probability distribution. More generally, if a robot command is expected to change a variable x by a certain amount, represented by an expected distribution of value changes Q(Ax), the new estimated distribution P′(x) may be expressed as a convolution of the previous distribution P(x) with Q(Ax). This new estimated state is treated as a prior probability estimate of the variable for the subsequent steps.
In the next step 1202, the state estimator 980 receives an estimated value distribution for the estimated state based on one or more algorithm modules. This value distribution may be represented in various ways, such as an expected value and an error range, or as an explicit distribution function over values, for example. In any case, the value distribution contains, implicitly or explicitly, an expected value of the variable and some estimate of a range of error. In some cases, only the expected value is transmitted and the error range is determined by the state estimator 980, using a record of past performance or pre-calibrated values of reliability. In one embodiment, when using an expected value and an error range, the state estimator 980 may treat the estimated value distribution as a normal distribution with a mean at the expected value and a standard deviation determined by the error range. In the case of a discrete variable or discrete state like branch identification, the estimated value distribution will typically comprise one or more probability values assigned to each of one or more branches, such that the total probability sums to one (or 100%). In some cases, some branches may not be assigned with explicit probabilities, and the total probability may be less than 1, in which case the remaining probability can be treated as being uniformly distributed over all other branches.
In step 1203, the state estimator 980 generates a posterior probability distribution based on the received estimated value distribution from step 1202 and the determined prior probability distribution from step 1201. As one example, this posterior probability distribution is calculated as an application of Bayes' Theorem, which states that for an observation A, the posterior probability P(x|A) of a variable having value x is given by the equation P(x|A)=P(A|x)P(x)/P(A), where P(x|A) is the probability of observing A given that x is true, P(x) is the prior probability of x being true, and P(A) is the prior probability of observing A, whether x is true or false.
The state estimator 980 determines each of the quantities P(x), P(A), and P(A|x) from the inputs generated during steps 1201 and 1202, as well as from a basic model of the set of possible observations. For example, P(A), representing the prior probability of x, may simply be read from the value determined in step 1201. Likewise, P(A|x) may be read from the function determined in step 1202. P(A), may be set as a constant representing the number of possible values of A. For example, when estimating a discrete probability distribution for what branch an endoscope tip is in encountering a division into a certain number (e.g., 10) of branches, the probability, P(A), of observing the tip to be in any given branch, may be set as 1/10. Alternatively, a model may be implemented to weight the possible observations A variably, for example, where branch sizes vary, P(A) may be set proportional to the size of branch A divided by the sum of all branch sizes, representing the idea that a randomly-placed tip is more likely to be found in a large branch than a small one. For continuous distributions, such as roll angle, depth, or orientation, P(A) will be a probability density function over all possible observations A. For example, if roll angle ranges from 0 to 2π radians, P(A) may be set to l/(2π) for all values of A to represent an equally likely probability density of any roll angle being observed. More generally, given P(x) as an estimate for the probability of x, P(A) will be given by the formula P(A)=P(A|x) P(x)+P(A|˜x) P(˜x), where ˜x means “not-x.”
In one embodiment, the result of step 1203 is a new probability distribution for values of the variable/state. In one embodiment, when each of multiple independent measurements relates to a given variable, the multiple independent measurements may be adjusted sequentially by taking the output of step 1203 as an input to step 1201, and using each new measurement as the estimated value distribution of step 1202. This generates a loop 1205 over measurements. Alternatively, step 1202 may incorporate a plurality of independent estimated value distribution which may be combined into a single updated estimate in step 1203, using Bayesian conditional updating on multiple measurements.
For example, if differential movement is being measured, the motion estimation module 963 may employ method 1200 with a process of taking the prior probability distribution of step 1201 as over an amount of movement (for example, an expected range of movement based on robot data), receiving an estimated value distribution in step 1202 over differential movement measurements, and generating a posterior probability distribution in step 1203 to estimate actual values of movement. This output may then be convolved with a prior estimated variable values (from a prior estimated state) to generate a posterior probability distribution for multiple values of the state. In some embodiments, once all measurements have been incorporated into an updated probability distribution, this new probability distribution is reported out in step 1204. The process 1200 may be applied in parallel to generate new probability distributions for a plurality of variables (states), such as position, orientation, roll, depth, and/or branch. The outputs of step 1204 for each such process may be combined together to generate a new estimated state (E) 1202, which represents the output of the motion estimation module 963.
In some embodiments, the navigation module 905 allows estimates of variables even when certain input data is not available. For example, prior to registration of the EM system, the output of the branch selection module 954 is ignored by the state estimator 980. Nonetheless, states representing location and/or orientation (e.g., tip insertion depth) may still be estimated based on available input data like the robot input data. Each time the instrument tip is ordered to move deeper into the branched network, the estimate state for the tip insertion depth may be updated based on this estimated movement. Thus, prior to registration, the tip insertion depth may be estimated based on robot data, and after registration, the depth may be estimated based on data from the branch selection module 954, but also partially based on robot data, with a weighting function.
There is a possibility of over-determination/over-fitting of the location estimate for the instrument based on the many possible independent measurements introduced above, which include local measurements such as object-based image tracking, optical flow, global measurements such as EM tracking, and robotic input data based measurement. Consequently, the accuracy of estimated position within the branched network may be greater than the accuracy of estimates made using any one of the modules alone. Furthermore, in some embodiments, the navigation configuration system 900 demonstrates the ability to recover from errors by using the measurements from one module to contradict the measurements from another, allowing the system to “change its mind” about a previously-made determination. An example of how an error can be corrected is more fully described below with reference to
As shown in
However, as the endoscope tip proceeds down the right branch 1346 to state 1320, the estimated position 1322 will be more and more spatially distinct from the actual position 1321. In one embodiment, the branch selection module 954 may thus more and more confidently report that the tip is probably in the right branch 1346 based on the shift in the probabilities provided by the underlying modules. Accordingly, the state estimator's 980 aggregate probability estimate may also shift, thereby resulting in an increase in the probability of being in the right branch 1346 and a corresponding decreasing the probability of being in the left branch 1345.
The system 900 may proceed to a state 1330, in which the tip is at the actual position 1331, arriving at a division into three branches. However, at this point in time state estimator 980 may still be estimating that the most likely state to be at estimated position 1332.
At state 1340, based on the 3D model, the state estimator 980 may be expecting a certain distance until the next branch division, in this example a two-way division, rather than three-way branch division. Under this circumstance, both the branch selection module 954 and the object mapping module 964 may strongly estimate that the tip is located in the branch shown on the right, which further strongly adjusts the probabilities of being in the left and right branches, leading to an almost certain assignment of the tip location to the correct branch, the right branch 1346 here.
Consequently, at state 1340 the state estimator 980 correctly estimates the instrument tip be at estimated position 1342, very close to its actual location 1341. If the endoscope is along the user's desired path, the system 900 can now proceed to determine which branch of the three-way branch division is entered next. Alternately, the user can backtrack to travel down the left lumen of bronchial tree 1300. In some embodiments, this updated estimate is shown to a user on a display, so that the user can perceive that the previous estimates were in error, and that error has now been corrected.
Navigating to a particular point in a tubular network of a patient's body requires certain steps to be taken pre-operatively in order to generate the information needed to create the 3D model of the tubular network and to determine a navigation path within it.
Initially, in step 1405, a CT scan of the tubular network is obtained, and the data from the CT scan provides 3D information about the structure and connectivity of the tubular network. For example, the image in step 1405 shows a tomographic slice of a patient's lungs.
In step 1410, a 3D model is generated based on the obtained CT scan data, and the generated 3D model can be used to assign each branch of the tubular network with a unique identity, enabling convenient navigation within the network. For example, the image in step 1410 shows a 3D model of a patient's bronchial network.
In step 1415, a target 1416 is selected, and this target may be, for example, a lesion to biopsy, or a portion of organ tissue to repair surgically. In one embodiment, the user is capable of selecting the location of the target by interfacing with a computer display that can show the 3D model, such as by clicking with a mouse or touching a touchscreen. The selected target may then be displayed to the user. For example, the target 1416 is marked within the 3D bronchial model generated from step 1410.
In step 1420, a path 1421 is automatically planned from an entry point 1422 to the target 1416, and the path 1421 identifies a sequence of branches within the network to travel through, so as to reach the target 1416. In one embodiment, the tubular network may be tree-like, the path 1421 may be uniquely determined by the structure of the tubular network, while in another embodiment, the tubular network may be cyclic, and the path may be found by an appropriate algorithm such as a shortest-path algorithm.
Once the path 1421 has been determined, virtual endoscopy 1425 may be performed to give the user a preview of the endoscopic procedure. The 3D model generated from step 1410 is used to generate a sequence of 2D images as though seen by an endoscope tip while navigating the network corresponding to the 3D model. The path 1421 may be shown as a curve that may be followed to get from the entry point 1422 to the target 1416.
Once the virtual endoscope tip has arrived at the target 1416, a virtual tool alignment procedure 1430 may be performed to illustrate to the user how to manipulate endoscopic tools in order to perform a surgical procedure at the target. For example, in the illustration, a virtual endoscopic biopsy needle 1431 is maneuvered by the user in order to biopsy a lesion 1432 located beneath the surface of a bronchial tube. The lesion location is highlighted so that the user can align the needle to it, and then use the needle to pierce the surface of the bronchial tube and access the lesion underneath. This mimics the steps that will be taken during the actual surgical procedure, allowing the user to practice before performing surgery.
In
View 1445 shows a virtual endoscope view from the estimated location of the tip that can be compared with a real-time view to confirm that the tip location has been estimated accurately. A path indicator 1446 and location/orientation indicator 1447 for aid in navigation is also shown in the view 1446. The upper left shows state information 1448 determined by the state estimator 980, indicating that the current distance to target “t1” is 5.4 cm, and that the calculated roll angle is −139 degrees.
View 1450 shows a virtual view of the endoscope shaft 1451, displayed from a “third-person” viewpoint to the rear of the endoscope tip. The virtual view can be generated by assuming that the endoscope shaft lies along the path already traversed by the tip, and the view of the surrounding area is generated based on the 3D model in the vicinity of the chosen viewpoint. Alternately, the view may be generated from images taken while passing through that area earlier in the procedure. In alternative embodiments, the virtual viewpoint may project ahead of the endoscope tip location, to show the next bifurcation. This view may further highlight the intended path, to inform the user in advance which way to steer when the endoscope tip reaches the next bifurcation.
View 1465 shows a virtual view in the vicinity of target location 1443, highlighting a biopsy location 1466 to help the user visualize precisely where the needle is to be inserted to collect tissue for biopsy. Additional information, such as target size and distance to target may optionally be overlaid on the image.
View 1670 shows a close-up view of a 3D icon 1471 representing a biopsy needle, superimposed on a tomographic image of the patient's lungs. The roll of the instrument is indicated by a multicolored pattern 1475 on the rear of the 3D icon 1471. As seen from state information 1473, this particular orientation represents a roll of 0 degrees, and the needle is currently 4 mm from the biopsy location 1466. A path 1474 is displayed showing how the needle should be oriented and moved in order to contact the biopsy location 1466.
More generally, the navigation and tracking technique disclosed herein may be performed with an appropriately configured computer system. A processor within the computer system may comprise one or more components to process electronic signals, and may comprise one or more of a central processor unit, a video processor, logic circuitry, gate array logic, filed programmable gate array, integrated circuit, or application specific integrated circuit. The computer system includes a central processing unit (CPU, also “processor” and “computer processor” herein), which can be a single core or multi core processor, or a plurality of processors for parallel processing. The CPU can execute a sequence of machine-readable instructions, which can be embodied in a program or software. The instructions may be stored in a memory location. Examples of operations performed by the CPU can include fetch, decode, execute, and writeback. The CPU can be part of a circuit, such as an integrated circuit. One or more other components of the system can be included in the circuit. In some cases, the circuit comprises an application specific integrated circuit (ASIC).
The computer system may also include one or more of memory or memory locations (e.g., random-access memory, read-only memory, flash memory), electronic storage units (e.g., hard disk), communication interfaces (e.g., network adapters) for communicating with one or more other systems, and peripheral devices, such as caches, other memory, data storage and/or electronic display adapters. The memory, storage unit, interface, and peripheral devices are in communication with the CPU through a communication bus, such as a motherboard.
The storage unit can be a data storage unit (or data repository) for storing data. The computer system can be operatively coupled to a computer network (“network”) with the aid of the communication interface. The network can be the Internet, an internet and/or extranet, or an intranet and/or extranet that is in communication with the Internet. The network in some cases is a telecommunication and/or data network, and can include can include one or more computer servers. The storage unit can store files, such as drivers, libraries and saved programs. The storage unit can store user data, e.g., user preferences and user programs. The computer system in some cases can include one or more additional data storage units that are external to the computer system, such as located on a remote server that is in communication with the computer system through an intranet or the Internet.
Methods as described herein can be implemented by way of machine (e.g., computer processor) executable code stored on an electronic storage location of the computer system, such as, for example, on the memory or electronic storage unit. The machine executable or machine readable code can be provided in the form of software. During use, the code can be executed by the processor. In some cases, the code can be retrieved from the storage unit and stored on the memory for ready access by the processor. In some situations, the electronic storage unit can be precluded, and machine-executable instructions are stored on memory.
The code can be pre-compiled and configured for use with a machine have a processer adapted to execute the code, or can be compiled during runtime. The code can be supplied in a programming language that can be selected to enable the code to execute in a pre-compiled or as-compiled fashion.
Methods and systems of the present disclosure can be implemented by way of one or more methods. A method can be implemented with a processor as described herein, for example by way of software upon execution by one or more computer processors.
Alternative views and embodiments of the surgical robotics system 1100, the surgical robotics system 1200, and other surgical robotics systems including the above mentioned components are further illustrated and described at least in U.S. Provisional Application No. 62/162,486 filed May 15, 2015, U.S. Provisional Application No. 62/162,467 filed May 15, 2015, U.S. Provisional Application No. 62/193,604 filed Jul. 17, 2015, U.S. Provisional Application No. 62/201,518 filed Aug. 5, 2015, U.S. Provisional Application No. 62/203,530 filed Aug. 11, 2015, and U.S. Provisional Application No. 62/235,394 filed Sep. 30, 2015.
Upon reading this disclosure, those of skill in the art will appreciate still additional alternative structural and functional designs through the disclosed principles herein. Thus, while particular embodiments and applications have been illustrated and described, it is to be understood that the disclosed embodiments are not limited to the precise construction and components disclosed herein. Various modifications, changes and variations, which will be apparent to those skilled in the art, may be made in the arrangement, operation and details of the method and apparatus disclosed herein without departing from the spirit and scope defined in the appended claims.
As used herein any reference to “one embodiment” or “an embodiment” means that a particular element, feature, structure, or characteristic described in connection with the embodiment is included in at least one embodiment. The appearances of the phrase “in one embodiment” in various places in the specification are not necessarily all referring to the same embodiment.
Some embodiments may be described using the expression “coupled” and “connected” along with their derivatives. For example, some embodiments may be described using the term “coupled” to indicate that two or more elements are in direct physical or electrical contact. The term “coupled,” however, may also mean that two or more elements are not in direct contact with each other, but yet still co-operate or interact with each other. The embodiments are not limited in this context unless otherwise explicitly stated.
As used herein, the terms “comprises,” “comprising,” “includes,” “including,” “has,” “having” or any other variation thereof, are intended to cover a non-exclusive inclusion. For example, a process, method, article, or apparatus that comprises a list of elements is not necessarily limited to only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Further, unless expressly stated to the contrary, “or” refers to an inclusive or and not to an exclusive or. For example, a condition A or B is satisfied by any one of the following: A is true (or present) and B is false (or not present), A is false (or not present) and B is true (or present), and both A and B are true (or present).
In addition, use of the “a” or “an” are employed to describe elements and components of the embodiments herein. This is done merely for convenience and to give a general sense of the invention. This description should be read to include one or at least one and the singular also includes the plural unless it is obvious that it is meant otherwise.
This application claims the benefit of and priority to U.S. Provisional Application No. 62/220,770 filed Sep. 18, 2015, entitled “NAVIGATION OF TUBULAR NETWORKS”, the entire disclosure of which is incorporated herein by reference.
Number | Date | Country | |
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62220770 | Sep 2015 | US |
Number | Date | Country | |
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Parent | 17875365 | Jul 2022 | US |
Child | 18820233 | US | |
Parent | 17004669 | Aug 2020 | US |
Child | 17875365 | US | |
Parent | 16222686 | Dec 2018 | US |
Child | 17004669 | US | |
Parent | 15669258 | Aug 2017 | US |
Child | 16222686 | US | |
Parent | 15268238 | Sep 2016 | US |
Child | 15669258 | US |