APPARATUS, METHOD AND STORAGE MEDIUM FOR LUMEN CURVE SIMPLIFICATION FOR EDITING IN ONE OR MORE IMAGES, SUCH AS IN OPTICAL COHERENCE TOMOGRAPHY IMAGES
20220400954 · 2022-12-22
Inventors
Cpc classification
G01B9/02091
PHYSICS
A61B5/0084
HUMAN NECESSITIES
A61B5/02007
HUMAN NECESSITIES
G06T2207/10101
PHYSICS
International classification
A61B5/00
HUMAN NECESSITIES
A61B5/02
HUMAN NECESSITIES
Abstract
A method for reproducing a lumen curve to a given tolerance in at least one image in optical coherence tomography (OCT). Examples of applications include imaging, evaluating and diagnosing biological objects, such as, but not limited to, cardio applications, and being obtained via one or more optical instruments, such as, but not limited to, catheters. The method may include obtaining a set of original points of the curve that correspond to measurements from an optical imaging device. Filtering the set of original points using at least one criteria to obtain a subset of original points. The method may also include determining if the subset of original points is less than a predetermined threshold and adjusting the at least one criteria to increase an amount of original points included in the subset of original points when it is determined that the subset of original points is less than the predetermined threshold.
Claims
1. A method for reproducing a curve to a given tolerance in at least one image, the method comprising: obtaining a set of original points of the curve that correspond to measurements from an optical imaging device; filtering the set of original points using at least one criteria to obtain a subset of original points; determining if the subset of original points is less than a predetermined threshold; and adjusting the at least one criteria to increase an amount of original points included in the subset of original points when it is determined that the subset of original points is less than the predetermined threshold, wherein the at least one criteria is adjusted until it is determined that the subset of original points is equal to or greater than the predetermined threshold.
2. The method of claim 1, wherein the curve is a lumen curve.
3. The method of claim 1, wherein the optical imaging device is either a catheter or a probe.
4. The method of claim 1, wherein the optical imaging device is a catheter that generates the set of original points corresponding to approximately 500 original points of the curve.
5. The method of claim 1, further comprising: calculating an area of the curve based on the set of original points; calculating an area of a new curve based on the subset of original points, when the subset of original points is equal to or greater than the predetermined threshold; and comparing the area of the new curve to the area of the curve to determine if the new curve is within the given tolerance.
6. The method of claim 5, wherein when the area of the new curve is not within the given tolerance, the at least one criteria is adjusted to increase the amount of original points included in the subset of original points until the area of the new curve is within the given tolerance.
7. The method of claim 1, wherein the at least one criteria is one of a point-to-point distance, a local curvature and a quality of measurement.
8. The method of claim 1, wherein the at least one criteria is selected based on a type of optical imaging device used to obtain the set of original points.
9. The method of claim 1, wherein a quantity of original points of the predetermined threshold corresponds to a type of curve being reproduced.
10. The method of claim 9, wherein the type of curve being reproduced is a circle and a cubic-spline curve technique is used to determine that the predetermined threshold is 8 original points.
11. The method of claim 1, wherein the given tolerance is based on at least one of an area of the curve, a perimeter of the curve, a root-mean-square (RMS) of point-to-point differences of the curve.
12. The method of claim 1, wherein the at least one image is generated from a multi-modality optical coherence tomography (MM-OCT) imaging apparatus and the at least one criteria is a point-to-point distance.
13. The method of claim 12, wherein the filtering of the set of original points further comprises: obtaining parameter values including a separation_base, a separation multiplier and a minimum point count, wherein the separation_base multiplied by the separation multiplier respresents a minimum distance apart between two points for the subset of original points that are selected from the set of original points using the obtained parameter values, wherein the minimum point count represents the predetermined threshold.
14. The method of claim 13, wherein when the subset of original points is less than the minimum point count, the separation_multiplier is decremented until a new subset of original points is greater than the minimum point count or the separation_multiplier is equal to 1.
15. The method of claim 13, wherein when the subset of original points is equal to or greater than the minimum point count, it is determined whether an area of a new curve is within the given tolerance when compared to an area of the original curve and when the area of the new curve is not within the given tolerance, the separation_multiplier is decremented until the area of the new curve is within the given tolerance or the separation_multiplier is equal to 1.
16. The method of claim 1, wherein the at least one criteria is a local curvature and the filtering of the set of original points further comprises: setting a minimum curvature value; obtaining the subset of original points based on the minimum curvature value; and calculating for each set of 3 contiguous points from the subset of original points, a curvature at a center point and determining whether the curvature at the center point is greater than the minimum curvature, when the curvature at the center point is greater than the minimum curvature, the center point is added to a new curve, wherein, when it is determined that the subset of original points is less than the predetermined threshold and the minimum curvature value is not equal to one, the at least one criteria is adjusted by decrementing the minimum curvature value until the subset of original points is not less than the predetermined threshold or the minimum curvature value is equal to one.
17. An apparatus for reproducing a curve to a given tolerance in at least one image, the apparatus comprising: one or more processors; and one or more memories including instructions that, when executed by the one or more processors, cause the apparatus to: obtain a set of original points of the curve that correspond to measurements from an optical imaging device; filter the set of original points using at least one criteria to obtain a subset of original points; determine if the subset of original points is less than a predetermined threshold; and adjust the at least one criteria to increase an amount of original points included in the subset of original points when it is determined that the subset of original points is less than the predetermined threshold, wherein the at least one criteria is adjusted until it is determined that the subset of original points is equal to or greater than the predetermined threshold.
18. A computer-readable storage medium storing at least one program that operates to cause one or more processors to execute a method for reproducing a curve to a given tolerance in at least one image, the method comprising: obtaining a set of original points of the curve that correspond to measurements from an optical imaging device; filtering the set of original points using at least one criteria to obtain a subset of original points; determining if the subset of original points is less than a predetermined threshold; and adjusting the at least one criteria to increase an amount of original points included in the subset of original points when it is determined that the subset of original points is less than the predetermined threshold, wherein the at least one criteria is adjusted until it is determined that the subset of original points is equal to or greater than the predetermined threshold.
19. A method for reproducing a curve to a given tolerance in at least one image, the method comprising: obtaining a set of original points of the curve that correspond to measurements from an optical imaging device; filtering the set of original points using quality of measurement as a criteria to obtain a subset of original points by finding a minimum measurement quality value and a maximum measurement quality value from the set of original points of the curve and adding each point from the set of original points that has a value that is greater than or equal to the minimum measurement quality value to the subset of original points; determining if the subset of original points is less than a predetermined threshold; and adjusting the quality of measurement to increase an amount of original points included in the subset of original points when it is determined that the subset of original points is less than the predetermined threshold and the minimum measurement quality value is not less than a quality limit, wherein the minimum measurement quality value is adjusted by a delta quality until it is determined that the subset of original points is equal to or greater than the predetermined threshold or the minimum measurement quality value is less than the quality limit.
20. The method of claim 19, wherein the delta quality is computed by multiplying 0.1 by the difference between the maximum measurement quality value and the minimum measurement quality value, and wherein the quality limit is set to the minimum measurement quality value.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0016] For the purposes of illustrating various aspects of the disclosure, wherein like numerals indicate like elements, there are shown in the drawings simplified forms that may be employed, it being understood, however, that the disclosure is not limited by or to the precise arrangements and instrumentalities shown. To assist those of ordinary skill in the relevant art in making and using the subject matter hereof, reference is made to the appended drawings and figures, wherein:
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[0024]
DETAILED DESCRIPTION
[0025] One or more devices/apparatuses, optical systems, methods and storage mediums for lumen curve simplification for editing are disclosed herein.
[0026] Lumen curve simplification for editing allows a user to edit an image or images obtained from an OCT imaging system. Turning now to the details of the figures,
[0027] The light source 101 operates to produce a light to the splitter 104, which splits the light from the light source 101 into a reference beam passing into the reference arm 102 and a sample beam passing into the sample arm 103. The beam splitter 104 is positioned or disposed at an angle to the reference mirror 105, the one or more detectors 107 and to the sample or target 106. The reference beam goes through the phase shift unit 130 (when included in a system, as shown in the system 100), and the reference beam is reflected from the reference mirror 105 in the reference arm 102 while the sample beam is reflected or scattered from a sample 106 through the PIU (patient interface unit) no and the catheter 120 in the sample arm 103. Both of the reference and sample beams combine (or recombine) at the splitter 104 and generate interference patterns. The output of the system 100 and/or the interferometer thereof is continuously acquired with the one or more detectors 107, e.g., such as, but not limited to, photodiodes or multi-array cameras. The one or more detectors 107 measure the interference or interference patterns between the two radiation or light beams that are combined or recombined. In one or more embodiments, the reference and sample beams have traveled different optical path lengths such that a fringe effect is created and is measurable by the one or more detectors 107. Electrical analog signals obtained from the output of the system 100 and/or the interferometer thereof are converted to digital signals to be analyzed with a computer, such as, but not limited to, the computer 200, 200′ (shown in
[0028] The light source 101 may include a plurality of light sources or may be a single light source. The light source 101 generates broadband laser lights in one or more embodiments. The light source 101 may include one or more of a laser, an organic Light-Emitting Diode (OLED), a Light-Emitting Diode (LED), a halogen lamp, an incandescent lamp, supercontinuum light source pumped by a laser, and/or a fluorescent lamp. The light source 101 may be any light source that provides light which can then be split up into at least three bands in which each band is further dispersed to provide light which is then used to for spectral encoding of spatial information. The light source 101 may be fiber coupled or may be free space coupled to the other components of the system or systems discussed herein, such as, but not limited to, the system 100, the system 100′, the system 100″, the system 100′″, etc.
[0029]
[0030] A lumen curve obtained from the OCT system 100 using a catheter 120 may consist of a set 500 control points for example. Unfortunately, the set of 500 control points is significantly more than necessary for reproducing the lumen curve to a given tolerance. Furthermore, when a user selects a particular control point from the set of 500 control points for editing, two other control points are automatically chosen to form a region to be manipulated. As the selected control point is moved by the user during editing, new control points are computed in the region. This method of lumen may result in fewer control points in the manipulated region. After a few editing operations by the user, the lumen curve could become overly simplified due to the reduced number of control points. Additionally, the chosen region for editing may be shorter or longer than the user desires which makes it more difficult for the user to edit.
[0031] A better method for lumen editing in accordance with the present disclosure includes the steps implemented in the flowchart of
[0032] In step S100 of
[0033] The subset of original points may be obtained based on various criteria. The various criteria may be point-to-point distance, local curvature, quality of measurement, etc. by way of example. Other criteria not explicitly disclosed herein may be used in accordance with the present disclosure. The selection of measures and criteria should be determined by the specific needs of the particular implementation (optical imaging device). The goal being to drastically filter the original set of control points so that when a user wants to edit the lumen curve, the total amount of control points is low (a subset of control points), thereby reducing the processing burden and time required to accurately reproduce the lumen curve.
[0034] Once the original set of control points (500 in this example) is significantly reduced in step S110 by selecting a subset of original points based on at least one criteria from the various criteria, it is determined whether the quantity of control points associated with the subset of original points exceeds a predetermined threshold in step S120. The predetermined threshold is a minimum total quantity of control points that the subset of original points should be equal to or greater than to accurately reproduce the lumen curve. The predetermined threshold is used to ensure that the criteria used to drastically reduce the quantity of original points does not result in too few points for the subset of original points. If there are too few control points, it will be difficult to accurately reproduce the lumen curve. The predetermined threshold may be determined based on specific needs. For example, a cubic-spline curve technique, requires 8 points which will allow for perfect circles. Other curve types may have different needs and therefore differing requirements for the number of control points. A somewhat higher number might help a user with manual editing, although any manual editing process should allow for insertion of new points.
[0035] If it is determined in step S120, that the selected subset of original points is less than the predetermined threshold (YES in step S120), the method for reproducing the curve continues to step S130 to adjust the criteria used to select the subset of original points in step S110. The criteria is adjusted to allow for the selection of more control points when selecting the subset of original points. Then the new subset of original points returns to step S120 to determine whether the subset of original points satisfies the predetermined threshold. Thus, steps S110, S120 and S130 are an iterative process that continuously loops until the predetermined threshold in step S120 is satisfied. Only when the predetermined threshold is satisfied may the method for reproducing the lumen curve in accordance with an aspect of the present disclosure continue. The advantage of this process is to essentially start with a minimum amount of control points (the subset of original points) and iteratively add to the subset of original points to be used to reproduce the lumen curve to ensure that when the user edits the lumen curve, the processing burden is minimized and the time required to reproduce the lumen is curve is reduced. Instead of starting from an editing position where a set of 500 control points are to be considered, the total quantity of control points to be considered during the editing process in accordance with the present disclosure might only include 8, 12 or 20 control points by way of example. A significantly lower amount of control points than the original set of 500 points.
[0036] In step S120, if it is determined that the selected subset of original points satisfies the predetermined threshold (NO in step S120), the method for reproducing the lumen curve continues to step S140. A NO result in step S120 is a determination that the selected subset of original points satisfies the predetermined threshold and the criteria does not need to be adjusted. In step S140, the area of the new curve is computed. The new curve is the curve that is based on the selected subset of original points. Whereas, the original curve is based on the set of 500 control points in this example. The area of the new curve is based on the drastically reduced selected subset of control points that is computed in step S140. It is then determined in step S150 whether the new curve is within a given tolerance. If the new curve is not within the given tolerance, the new lumen curve does not sufficiently replicate the original lumen curve that was based on the set of 500 control points and therefore is not used for lumen curve editing by a user. When it is determined that the new curve is not within the given tolerance (NO in step S150), the method for lumen curve reproduction proceeds to step S130 in order to adjust the criteria to allow for more control points to be selected in step S110 when selecting the subset of original points.
[0037] The given tolerance ensures that the new curve adequately replicates the original curve while keeping the total quantity of control points associated with the subset of original points to a minimum or at least significantly reduced from the original quantity of control points associated with the original curve. Steps S150, S130 and S110 form an iterative process that guarantees the reproduced lumen curve based on the selected subset of original points satisfies the given tolerance while minimizing the total quantity of original points used with the subset of original points. Alternatively, in step S150, if it determined that the area of the new curve satisfies the given tolerance (YES in step S150), then the method for reproducing the lumen curve may be terminated.
[0038] The given tolerance may be based on area, perimeter, root-mean-square of point-to-point differences, or whatever else a specific implementation requires. The given tolerance test must report success once the full set of points are selected to guarantee that the algorithm will terminate. Adjusting the criteria should be designed to keep increasing the number of control points up to the full list of points of the original curve. The adjustment to the criteria does not need to be strictly monotonic, but the trend must be to include more control points, otherwise, the algorithm is not guaranteed to terminate.
[0039] In accordance with at least one aspect of the present disclosure and as aforementioned, one or more methods for lumen curve simplification for editing of OCT images are provided herein.
[0040] Next, in step S210, the area of the original curve is computed based on the set of original points. Similar to the embodiment of
[0041] Still referring to
[0042] Steps S220, S230, S240 and S250 form an iterative loop that guarantee the minimum point count parameter value is satisfied or that the Separation_Multiplier is equal to 1. This ensures that the algorithm terminates eventually. It should be noted that when the Separation_Multiplier is equal to 1 there will be a large quantity of control points associated with the subset of original points. Preferably, the minimum point count is satisfied prior to the Separation_Multiplier equaling 1.
[0043] Alternatively, when it is determined that the point count of the subset of original points selected are spaced at least by the Separation_Base multiplied by the Separation_Multiplier and satisfy the minimum point count (NO in step S230), then the method for reproducing the lumen curve continues to step S260. The minimum point count in this example is 12. Thus, the subset of original points that are selected from the original curve and spaced apart at least by the Separation_Base multiplied by the Separation_Multiplier must equal 12 or greater to proceed to step S260. In step S260, the area of a new curve is computed. The new curve is based on the subset of original points selected from the original curve. In this example the area of the new curve is based off of at least the minimum point count which is at least 12 points. The area of the new curve is computed in order to determine if the new curve is within a given tolerance when compared with the original curve. In step S270, it is determined whether the new curve is within the given tolerance. If the area of the new curve is within the given tolerance (YES in step S270), the method for reproducing the lumen curve is terminated.
[0044] If the area of the new curve is not within a given tolerance (NO in step S270), the method for reproducing the lumen curve proceeds to step S240 to determine whether the Separation_Multiplier is equal to 1. If the Separation_Multiplier is not equal to 1, the method continues to step S250 by decrementing the Separation_Multiplier. Decrementing the Separation_Multiplier will result in a new subset of original points from the original curve that are spaced even closer together, which will result in more control points and lead to an area of a new curve that is closer or within the given tolerance. Steps S270, S240, S250 and S220 form an iterative loop that guarantees that the area of the new curve is within the given tolerance or the Separation_Multiplier is equal to 1. In most scenarios the area of the new curve will satisfy the given tolerance prior to the Separation_Multiplier equaling 1.
[0045] Referring now to
[0046] Referring now to
[0047] In particular, step S310 a processor may compute the curvature at the center point for each set of 3 contiguous points from the original set of control points. If the curvature is greater than the minimum curvature (10 in this example), the center point from the 3 contiguous points is added to the new curve. Conversely, if the curvature is less than the minimum curvature, the center point from the 3 contiguous points is not included in the new curve. So although the center point was included in the original curve, it will not be included in the new curve. Step S310 effectively as a filter whereby the filtering process ensures that only a subset of original points that have a curvature greater than the minimum curvature (10 in this example) are added to the new curve.
[0048] Subsequently, in step S320 it is determined whether the subset of original points to be used for the new curve is less than a minimum threshold value for the quantity of control points to be used. If it is determined that the point count for the subset of original points satisfies the minimum threshold value (NO in step S320), the method for reproducing the lumen curve is terminated. Alternatively, if it is determined that the total point count for the subset of original points does not satisfy the minimum threshold value (YES in step S320), the method for reproducing a lumen curve proceeds to step S330 where it is determined whether the minimum curvature is equal to 1. If it is determined that the minimum curvature is equal to 1 (Yes in step S330), the method for reproducing the lumen curve using curvature as a criteria is terminated. Alternatively, if it is determined that the minimum curvature is not equal to 1 (NO in step S330), the method for reproducing a lumen curve with curvature as a criteria continues to step S340. In the example above, the minimum curvature started at a value of 10. So in a case where the quantity of control points associated with the subset of original points does not satisfy the minimum threshold, the minimum curvature is decremented in step S340. For example, if the minimum curvature is to be decremented by 1, the new minimum curvature value is 9. This ensures that more control points from the original set of control points are to be added to the new curve. This iterative process continues until the subset of original points satisfies the minimum threshold value or the minimum curvature is equal to 1. This ensures that the algorithm will terminate at some point while effectively determining a minimum quantity of control points to be used for the subset of original points for reproducing a lumen curve accurately. Steps S310, S320, S330 and S340 form an iterative loop to continuously add control points to the subset of original points until the minimum threshold value is satisfied or until the minimum curvature is equal to 1.
[0049] Referring now to
[0050] In step S400, a delta quality (Delta_Quality) is also set. The delta quality is used for changing the quality of measurement criteria if needed as will be described below. The delta quality is determined by multiplying 0.1*(maximum measurement quality value—minimum measurement quality value). If the measurement quality in the original curve is not well spread out between the minimum and the maximum measurement quality, the flowchart of
[0051] Next in step S410, for each point in the original curve with a measurement quality greater than or equal to the minimum quality, those points are added to the new curve. Setting the minimum quality to the maximum measurement quality allows for a significant reduction in the total quantity of control points from the original curve that are added to the new curve. In other words, the set of original points from the original curve are significantly reduced to a subset of original points representing a new curve. Once a subset of original points is obtained, the method continues to step S420 to determine whether the subset of original points satisfies a minimum threshold value for the total quantity of control points associated with the subset of original points. If it is determined that the subset of original points satisfies the threshold value (NO in step S420), the method for reproducing the lumen curve using measurement quality as a criteria may terminate and the subset of original points are used to reproduce the lumen curve.
[0052] Alternatively, if it is determined that the subset of original points does not satisfy the minimum threshold value (YES in step S420), the method for reproducing the lumen curve using measurement quality as a criteria proceeds to step S430. In step S430, it is determined whether the minimum quality is less than the quality limit. If it is determined that the minimum quality is less than the quality limit (YES in step S430), the method for reproducing the lumen curve using measurement quality as a criteria is terminated. Alternatively, if the minimum quality is not less than the quality limit (NO in step S430), the method for reproducing the lumen curve using quality of measurement as a criteria continues to step S440. In step S440, the minimum quality is decremented by the delta quality and then the method for reproducing the lumen curve returns to step S410 to obtain an updated subset of original points using the decremented minimum quality. Using a minimum quality with a lower value allows for more control points to be included in the subset of original points. This iterative process continues until either the minimum point count threshold is satisfied for the subset of original points or the minimum quality is less than the quality limit. This iterative loop ensures that the algorithm ends as well as result in a reduced amount of control points for reproducing the lumen curve using quality of measurement as a criteria.
[0053] A computer, such as the console or computer 200, 200′, may perform any of the aforementioned steps for any system being manufactured or used, including, but not limited to, system 100, system 100′, system 100″, system 100′″, etc.
[0054] One or more embodiments of an OCT system may interact with one or more external systems, such as, but not limited to, an angio system, external displays, one or more hospital networks, external storage media, a power supply, a bedside controller (e.g., which may be connected to the OCT system using Bluetooth technology or other methods known for wireless communication), etc.
[0055] In at least one embodiment, a computer, such as the console or computer 200, 200′, may be dedicated to the control and the monitoring of the OCT devices, systems, methods and/or storage mediums described herein.
[0056] The electric signals used for imaging may be sent to one or more processors, such as, but not limited to, a computer 200 (see e.g.,
[0057] The I/O or communication interface 205 provides communication interfaces to input and output devices, which may include the light source 101, a RJ, a PM, an SM, unit 150, unit 112, a microphone, a communication cable and a network (either wired or wireless), a keyboard 210, a mouse (see e.g., the mouse 211 as shown in
[0058] Any methods and/or data of the present disclosure, such as the methods for using and/or manufacturing a device, system or storage medium for use with same and/or method(s) for reproducing a lumen curve for editing, including in OCT image(s), as discussed herein, may be stored on a computer-readable storage medium. A computer-readable and/or writable storage medium used commonly, such as, but not limited to, one or more of a hard disk (e.g., the hard disk 204, a magnetic disk, etc.), a flash memory, a CD, an optical disc (e.g., a compact disc (“CD”) a digital versatile disc (“DVD”), a Blu-ray™ disc, etc.), a magneto-optical disk, a random-access memory (“RAM”) (such as the RAM 203), a DRAM, a read only memory (“ROM”), a storage of distributed computing systems, a memory card, or the like (e.g., other semiconductor memory, such as, but not limited to, a non-volatile memory card, a solid state drive (SSD) (see SSD 207 in
[0059] In accordance with at least one aspect of the present disclosure, the methods, devices, systems, and computer-readable storage mediums related to the processors, such as, but not limited to, the processor of the aforementioned computer 200, the processor of computer 200′, etc., as described above may be achieved utilizing suitable hardware, such as that illustrated in the figures. Functionality of one or more aspects of the present disclosure may be achieved utilizing suitable hardware, such as that illustrated in
[0060] As aforementioned, hardware structure of an alternative embodiment of a computer or console 200′ is shown in
[0061] A computer program is stored in the SSD 207, and the CPU 201 loads the program onto the RAM 203, and executes the instructions in the program to perform one or more processes described herein, as well as the basic input, output, calculation, memory writing and memory reading processes.
[0062] The computer, such as the computer 200, 200′, communicates with the PIU 110, the rotary junction (e.g., the RJ, etc.), the motor PM, the motor SM, the catheter 120 and/or one or more other components of a system, such as the system 100, 100′, 100″, 100′″, etc., to perform imaging, and reconstructs an image from the acquired intensity data. The monitor or display 209 displays the reconstructed image, and may display other information about the imaging condition or about an object to be imaged. The monitor 209 also provides a graphical user interface for a user to operate a system (e.g., the system 100, the system 100′, the system 100″, the system 100′″, etc.), for example when performing OCT or other imaging technique, including, but not limited to, reproducing a lumen curve using various criteria. An operation signal is input from the operation unit (e.g., such as, but not limited to, a mouse device 211, a keyboard 210, a touch panel device, etc.) into the operation interface 214 in the computer 200′, and corresponding to the operation signal the computer 200′ instructs the system (e.g., the system 100, the system 100′, the system 100″, the system 100′″, etc.) to set or change the imaging condition, and to start or end the imaging, and/or to start or end the lumen detection and/or artifact(s) detection. The laser source 101 of an OCT system as aforementioned may have interfaces to communicate with the computers 200, 200′ to send and receive the status information and the control signals.
[0063] Although the disclosure herein has been described with reference to particular embodiments, it is to be understood that these embodiments are merely illustrative of the principles and applications of the present disclosure (and are not limited thereto). It is therefore to be understood that numerous modifications may be made to the illustrative embodiments and that other arrangements may be devised without departing from the spirit and scope of the present disclosure. The scope of the following claims is to be accorded the broadest interpretation so as to encompass all such modifications and equivalent structures and functions.