Methods and systems for detecting sub-tissue anomalies
11883236 ยท 2024-01-30
Assignee
Inventors
Cpc classification
A61B8/12
HUMAN NECESSITIES
A61B2576/02
HUMAN NECESSITIES
A61B5/0035
HUMAN NECESSITIES
A61B5/0084
HUMAN NECESSITIES
A61B5/4887
HUMAN NECESSITIES
A61B8/4483
HUMAN NECESSITIES
A61B8/085
HUMAN NECESSITIES
A61B8/4416
HUMAN NECESSITIES
A61B5/0073
HUMAN NECESSITIES
A61B8/5207
HUMAN NECESSITIES
International classification
A61B8/00
HUMAN NECESSITIES
A61B5/00
HUMAN NECESSITIES
A61B5/1455
HUMAN NECESSITIES
Abstract
A diagnostic imaging device includes a probe that uses both an ultrasound transducer and frequency-domain diffuse optical imaging (FD-DOI) to assist with locating and diagnosing sub-tissue anomalies. According to one aspect, the diagnostic imaging device relates to a clip-on cap that can be utilized with existing ultrasound transducers. The diagnostic imaging device described herein can be utilized for image-guided needle biopsy to regions where prostate tissues are highly suspicious for high-grade cancer, as well as for image guided interventions, such as cryotherapy, photodynamic therapy, and brachytherapy for early-stage or localized prostate cancer.
Claims
1. An ultrasound transducer cap, comprising: a hollow body with an internal cavity that is adapted to receive an ultrasound transducer, the hollow body comprising: an ultrasound transducer window disposed along a length of the hollow body that is configured with parallel edges to provide an unblocked line of sight between the ultrasound transducer housed within the hollow body, and a rectal wall; a plurality of light emitters disposed along a first edge of the parallel edges and a second edge of the parallel edges of the ultrasound transducer window; a plurality of light detectors disposed along the first edge and the second edge of the ultrasound transducer window; wherein the plurality of light emitters on the first edge are oppositely disposed to the plurality of light detectors on the second edge and the plurality of light emitters on the second edge are oppositely disposed to the plurality of light detectors on the first edge such that each light emitter of the plurality of light emitters and each light detector of the plurality of light detectors form adjacent and alternating, colinear, matched pairs; wherein the plurality of light emitters and the plurality of light detectors are in a linear arrangement from a top portion of the ultrasound transducer window to a bottom portion of the ultrasound transducer window forming matched pairs of alternating light emitters and light detectors spaced apart by the ultrasound transducer window; an ultrasound fiducial located adjacent to at least one light emitter of the plurality of light emitters or at least one light detector of the plurality of light detectors; and a capacitive electrode disposed on an outer surface of the hollow body.
2. The ultrasound transducer cap of claim 1, wherein the capacitive electrode is a ring that surrounds one of the at least one light emitter of the plurality of light emitters and the at least one light detector of the plurality of light detectors.
3. The ultrasound transducer cap of claim 1, wherein the ultrasound transducer cap is clipped to the ultrasound transducer to secure the ultrasound transducer cap to the ultrasound transducer.
4. The ultrasound transducer cap of claim 1, wherein the capacitive electrode is a copper pad.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) The following drawings illustrate by way of example and not limitation. For the sake of brevity and clarity, every feature of a given structure is not always labeled in every figure in which that structure appears.
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DESCRIPTION OF ILLUSTRATIVE EMBODIMENTS
(9) The present invention provides a portable, TRUS-integrated, FD-DOT for detection of aggressive prostate cancer. The invention improves the spatial resolution by coupling DOT with an ultrasound probe, which provides anatomical structures of the prostate so as to reduce the number of unknowns in the DOT image reconstruction by enabling correlation of ultrasound data with DOT data. While the combined TRUS-DOT method improves accuracy of reconstructed DOT images, that method relies highly on the ability of TRUS to locate the prostate cancer lesion. Given the fact that TRUS is unable to accurately detect prostate cancer and that to use TRUS to detect prostate cancer each region must be assumed to be homogenous, reconstructed DOT images using previous prostate cancer detection methods could be erroneous. To overcome this challenge, a hierarchical clustering method (HCM) can be used to improve the accuracy of image reconstruction with limited prior anatomical information.
EXAMPLES
Example 1
Design and Implement a TRUS-Integrated FD-DOT Optode Cap
(10) The strength of DOT is to provide functional information about tumor physiology, but the weakness is lack of anatomical information. Since prostate cancer measurements are endoscopic, the lack of anatomical information to assist with locating suspicious regions is a weakness of DOT when used as diagnostic for PCa. This problem is overcome through combination of a clip-on cap that is capable of DOT and an ultrasound transducer. The advantage of the clip-on cap is twofold: (1) combination of the clip-on cap with the ultrasound transducer renders accurate and real-time anatomic information to correlate with data collected from a DOT optical system; and (2) the available anatomic information is used in the reconstruction algorithm to improve the algorithm's results. One design consideration for the clip-on cap is that it must be large enough to allow sufficient spacing between the light emitters and light detectors to permit light to pass through the human rectum and reach a depth of around 2 cm within prostate tissue, but without significantly increasing the diameter of the ultrasound transducer.
(11) Referring now to
(12) The clip-on cap 10 can comprise various styles and lengths to ensure compatibility with various ultrasound transducers, such as the BK 8818 ultrasound transducer manufactured by BK Medical ApS. Furthermore, passing the probe through the rectum of a patient without local anesthesia brings extra challenges. For example, the probe needs to be soft for comfort and yet still be tolerant for all functions and operations of the light emitters 14(1)-(8) and light detectors 16(1)-(8) without reduction in quality. Various rubber-like materials are available to make the clip-on cap 10 be light-weight, thin-walled, soft, and smooth on an outer surface of the hollow body 12.
(13) The clip-on cap 10 can be secured to the ultrasound transducer 22 in various ways, including, for example, clips, force fit, threaded connection, etc. When the ultrasound transducer 22 is inserted into the hollow body 12, the ultrasound transducer window 18 provides the ultrasound transducer 22 an unblocked line of sight through the hollow body 12.
(14) The light emitters 14 and the light detectors 16 may comprise various optical emitters/sensors, such as optodes. Each light emitter 14 and light detector 16 is coupled to testing equipment by thin optical fibers (See
(15) The light emitters 14(1)-(4) are shown disposed along a first edge 26 of the ultrasound transducer window 18 and the light emitters 14(5)-(8) are shown disposed along a second edge 28 of the ultrasound transducer window 18. The light detectors 16(1)-(4) are oppositely disposed the light emitters 14(1)-(4) along the second edge 28, and the light detectors 16(5)-(8) are oppositely disposed the light emitters 14(5)-(8) along the first edge 26. This arrangement facilitates alternating matched pairs of light emitters 14 and light detectors 16. For example, the light detector 16(1) is paired with and detects light from the light emitter 14(1). Arranging pairs of light emitters 14 and light detectors 16 across the ultrasound transducer window 18 permits sufficient separation between the sensor pairs to interrogate deeper prostate tissues in a sagittal imaging geometry. Although the clip-on cap 10 of
(16) Referring now to
Example 2
Design, Implement, and Test a Multi-Channel FD-DOT System
(17) Referring now to
(18) The oximeter 40 may be a dual-wavelength FD-oximeter, such as the OxiplexTS manufactured by ISS Medical, Champaign, IL This equipment is a FD-based non-invasive tissue oximeter for the determination of absolute values of HbO, HbR, and HbT, as well as light scattering at two wavelengths (690 nm and 830 nm). Using a FD-DOT system permits an independent quantification of light scattering from absorption. During operation of the anomaly detection system 5, the oximeter 40 includes two-wavelength diode lasers. Light emitted from the lasers is divided sequentially via the source optical switch 42 using time-division multiplexing. The divided light is then transmitted through optical fibers 46(1)-(8) to the light emitters 14(1)-(8), which causes the light to propagate through the prostate tissue. The light detectors 16(1)-(8) are synchronized with the light emitters 14(1)-(8) and transmit detected light to the detector optical switch 44 through optical fibers 48(1)-(8). The detected light is multiplexed by the detector optical switch 44 before being sent to a photomultiplier tube (PMT) inside the Oximeter 40. Analysis of the detected light may be performed by the oximeter 40, or by the processor 50. The processor 50 comprises various computer hardware adapted to receive and analyze data, and to carry out the various steps of a HCM 100 (see
(19) Calibration of the anomaly detection system 5 can be performed in the following manner. A homogeneous liquid tissue-mimicking phantom is prepared using blood mixtures with intralipid solution. One liter of 1% intralipid solution is made so that the analytical diffusion solutions can be applied. Multiples of 10 ml of animal blood will be added into the solution and mixed thoroughly. A co-oximeter will be used to measure Hb, HbO, HbT concentrations, and hemoglobin oxygen saturation (SO.sub.2) of the animal blood before the animal blood is added into the solution. To deoxygenate the animal blood mixture, a non-oxygen gas, such as N.sub.2, is bubbled through the mixture. To oxygenate the blood mixture, pure O.sub.2 gas is bubbled through the mixture. An additional oximeter is used as a reference to provide needed optical parameters. The multiplexed optical source and detector filers from the newly made FD-DOT system are placed on the side of a container containing the liquid tissue-mimicking phantom. The values of HbR, HbO, and SO.sub.2 for each of several combinations of 3-sources-and-1-detector clusters (which are needed in order to calculate HbR, HbO, and So.sub.2 based on FD-NIRS) can then be measured and compared with expected values obtained from the co-oximeter and another independent oximeter. If the results from FD-DOT and the expected values are within 90% of one another, the performance of FD-DOT is acceptable. If the results vary by more than 10%, refinement of the system implementation may be needed. For example, both electrical and optical connections should be carefully checked and improved.
(20) A reliability assessment using intraclass correlation coefficient of the anomaly detection system 5 can be performed in the following manner. The intraclass correlation coefficient (ICC) is calculated using the collected .sub.s values to assess the reliability of ED-DOT in measuring optical properties of tissue samples. ICCs are popular reliability measures which have been widely used to assess the reliability of imaging techniques, such as for NIRS [23,24] and MRI [23,25-27]. For the reliability assessment, phantom data is analyzed. An assessment of human prostate data measurements can be performed later. Several types of ICCs are available, depending on the ANOVA model of the data. Since the effect of measurement is the major factor to consider here, a one-factor random-effect model is appropriate for the phantom data, and thus the following ICCs will be used [28,29] where ICC(1,1) is for single measurement and ICC(1,k) is for the average of k repeated measurements at each measurement site. MS(Specimen) and MS(Error) are the between-specimen mean squares and error mean squares, respectively, which can be obtained by SAS. The ICC(1,1) and ICC(1,k) are calculated for both .sub.a and .sub.s values (See Equation 1 and Equation 2 below). Values of the FD-DOT of ICC(1,1)>0.8 and ICC(1,k)>0.9 indicate an acceptable reliability. Otherwise, refinement of both electrical and optical connections should be carefully analyzed and improved.
(21)
Example 3
Integrate the New FD-DOT System with the Clip-On Cap for Further System Testing and Calibration, Followed by Reliability Analysis and Removal of Possible Sources of Noise
(22) Example 3 is performed for ED-DOT system testing without using the clip-on cap 10. After all the optical fibers 46(1)-(8) and 48(1)-(8) are packed and confined within the hollow body 12, it is necessary to further test and recalibrate the anomaly detection system 5 and to quantify the reliability of the anomaly detection system 5. These tests can be performed by clamping the clip-on cap 10 in contact with an intralipid tissue phantom. The same experimental protocols and test-retest assessment analysis discussed above is repeated. The passing conditions remain the same. 90% agreement between the results derived from FD-DOT and the expected values for both .sub.a and .sub.s; and ICC(1,1)>0.8 and ICC(1,k)>0.9 for both .sub.a and .sub.s.
Example 4
Trans-Rectal DOT Image Reconstruction by HCM with Limited Prior Information
(23) Referring now to
(24) The Levenberg-Marquardt (LM) algorithm is widely used to reconstruct absolute optical properties (.sub.a and .sub.s) in DOT used for FD and CW cases. The limitation of LM is to get trapped in a local minimum which is close to the initial guess. An algorithm that can provide global optimization is needed. The simulated annealing (SA) algorithm, a global optimization technique, has been also used widely in other areas of optimization and explored in the field of biomedical optics. However, SA has a limitation of slow convergence. In order to rectify the shortcoming of both techniques, a hybrid reconstruction technique was used to isolate the final image from initial guess and speed up the reconstruction.
(25) To validate the HCM 100, a simulated TRUS-DOT probe was used having 16 co-located or bifurcated optodes that served as both sources and detectors. Computer simulations were performed by considering a FEM mesh, which was created to be anatomically similar to a TRUS image of a human prostate. The FEM mesh consisted of four ROIs: prostate tissue, peri-prostate tissue, rectum wall tissue, and a prostatic tumor (anomaly). The FEM mesh used in this study was an unstructured tetrahedral mesh with 28,174 nodes and 156,191 elements. The thickness of the rectum wall was set to be 5 mm with a curvature radius of 50 mm. The following optical property (i.e., absorption coefficient) distributions were used: 0.01 mm.sup.1 for rectum wall, 0.002 mm.sup.1 for surrounding tissue, 0.006 mm.sup.1 for prostate, and 0.02 mm.sup.1 for anomaly. An anomaly was created at 1-cm depth from the rectum wall to test the HCM 100. The CW mode was utilized in the simulations, and 1% random noise was added to the data to mimic the instrument noise.
(26) Simulated DOT data was computed using the diffusion forward model with FEM, and NIRFAST was used to perform the forward calculation. The HCM 100 was used to reconstruct images from all simulated data. Referring now to
(27) At step 104 the prostate region is divided into several geometric clusters.
(28) At step 110, an average absorptivity of the 16 images is calculated and suspicious regions are identified using full width half maximum (FWHM) analysis. The FWHM analysis identifies suspicious segments 60 in the tested area by identifying areas exhibiting high light scatter. Areas of high light scatter can be seen in
(29) At step 114, the geometric clusters 80 that were created in step 104 that contain suspicious segments 60 are further divided into smaller clusters having a tissue volume of, for example, 0.125-0.42 cm.sup.3. The remaining non-suspicious segments can be grouped into one segment. The method 100 then proceeds to step 116 to confirm whether or not the number of smaller clusters created is equal to eight. When the number of clusters created is equal to eight, the method 100 proceeds to step 118 where another reconstruction is performed. After step 118 is completed, the method 100 returns to step 114. This process may be iterated until the number of clusters generated is equal to eight. When the number of clusters is equal to eight, the method 100 proceeds to step 120.
(30) At step 120, an average absorptivity of the seven smaller clusters using FWHM is calculated to refine the location of the anomalies. Recalculation of the FWHM of the images refines the location of the anomalies by essentially increasing the resolution of the suspicious segments 60.
(31) At step 122, further reconstruction is used to provide an updated location of anomalies that were detected through application of the method 100.
(32) The panels in
Example 5
Trans-Rectal DOT Image Reconstruction by HCM with Two Absorbers
(33) The capability of differentiating two absorbers by the HCM 100 is important in prostate cancer imaging because of the existence of multifocal cancer regions. An investigation of the ability of the HCM 100 to reconstruct two absorbers within a tissue was performed. Two cases were investigated. In Case 1, two anomalies of 1-cm diameter were created at the depth of 2 cm from the surface. The two anomalies were separated by 2 cm. This test was useful in understanding the minimum separation between two absorbers that is required to recover them as two separable absorbers in reconstructed images. Case 1 also allowed an estimation of the recovery of off-centered absorbers. This estimation is important because the sensitivity of DOT is often higher in the center of the image domain due to the number of overlapping measurements. In Case 2, the absorbers were created at the depths of 1 cm and 2 cm, respectively. The horizontal separation between the two absorbers was increased to 4 cm. In both cases, the HCM 100 was able to successfully determine the locations of the anomalies.
Example 6
Investigation of HCM on Effects of Different Background (Prostate Region) Contrast
(34) Further investigation of the HCM 100 on variation of background absorption in the prostate region is helpful to understand and estimate effects of the background optical properties on the reconstructed DOT images. As explained above, Steps 104, 106, and 110 of the HCM 100, an overall area of the anomaly was identified by selecting the FWHM of the recovered optical properties. If the recovered optical properties were not much higher than that of the background, no probable anomaly would be identified. Therefore, the background absorption or contrast plays an important role in achieving high-quality DOT images of prostate cancer. To estimate effects of the background optical properties, 11 simulations were performed by varying the optical properties or .sub.a values of the prostate (i.e., background tissue) from 0.005 to 0.015 mm.sup.1. The absorption coefficients for the surrounding tissue and the rectum wall were fixed; the anomaly contrast was set to be three times greater than the background (0.015 to 0.045 mm.sup.1) in all the simulations. The reconstructed results were plotted by comparing the recovered optical properties to the background, which showed the recovered contrast from the background after steps 104, 106, and 110 using the HCM 100. A recovery rate (RR) was also calculated based on the recovered absorption (RA) versus expected absorption (EA) as expressed by RR=(RA/EA)*100. Specifically, the calculations gave rise to an averaged RR of 40% over all 11 simulations. This 40% recovery rate of the expected contrast indicates that variations in background optical properties would still allow the probable location of an anomaly in steps 104, 106, and 110 to be located as long as the absorption contrast between the anomaly and background is 3 times greater.
(35) The reason the test was stopped at steps 104, 106, and 110 was that this stage of the HCM 100 is crucial for the success of the algorithm. If enough contrast in absorption was obtained with respect to the background in this step, the HCM 100 would be able to identify the region of interest for possible cancer lesions. Further steps (i.e., steps 114, 120, and 122) allow refinement of the size, location, and optical properties to achieve final reconstructed images with high quality. If the HCM 100 failed to recover a reasonable amount of contrast in steps 104, 106, and 110, then the HCM 100 would fail to give rise to correct results. Indeed, this is a difference between the approach described herein and those approaches of previous researchers.
Example 7
Developing a Co-Registration Method to Landmark the Prostate During Surgery
(36) Referring now to
(37) The second accessory comprises an accelerometer 32 that is associated with the anomaly detection system 5. For example, as shown in
Example 8
Performing TRUS/FD-DOI Measurements from In Vivo Human Prostate Glands, During Prostatectomy
(38) FD-DOI measurements are taken from human prostate glands in vivo during prostatectomy. In this case, the clip-on cap 10 will be sterilized as a conventional TRUS probe right before the prostatectomy, but after the patient is under anesthesia. The FD-DOI measurement locations will be co-registered with a clinical TRUS device for later comparison and validation. Five optical scans are taken at different anatomical positions. The corresponding images will be collected and stored for later analysis.
(39) Image reconsffuction and analysis is performed using LM-SA and the HCM 100 on in vivo human prostates. Similarly, both light scattering and HbO/HbR images will be obtained in order to examine whether or not hemoglobin concentrations are significantly different between high-grade and low-grade PCa, as well as light scattering properties. Both of the reconstructed images will be confirmed by whole-mount histology analysis; corresponding sensitivity and specificity will be also quantified.
(40) DOI measurements are very sensitive to optical interface between the optodes and tissues. It is very critical to ensure sufficient contact or good optical coupling. However, as the examination is endoscopic, it is difficult to know if the optodes (e.g., the light emitters 14 and the light detectors 16) are in sufficient contact with the optical interface because the user cannot see the optodes. To address this problem, capacitive-based touch sensors can be included on the clip-on cap 10.
(41) A touch-sensitive area is created by incorporating, for example, copper pads around one or more of the light emitters 14 and the light detectors 16. The copper pads will then be connected to capacitive sensing-controller input pins with traces underneath the probe. When the copper pads are not in contact with a tissue, the capacitive sensing controller measures parasitic capacitance (PC) which is the sum of the distributed capacitance on the copper pads. When the probe is in good contact with the rectum, the copper pads will form a simple parallel plate capacitor with capacitance RC. The total sensor capacitance (SC) becomes SC=PC+RC. The capacitive sensing controller monitors the sensor capacitance by converting the measured capacitance into a digital value which will be read by a computer. A LED-based indicator can be created using Labview software so that a user is notified when had optical coupling conditions exist. The position of the probe can then be adjusted based on the LED status.
Methods
(42) Forward and inverse methods in DOT. Light transport in biological tissues can be modeled by the diffusion approximation (DE) to the radiative transport equation (RTE), assuming that light scattering has great effects on light propagation in tissue. In the frequency domain, the diffusion equation is given by
(43) where ({right arrow over (r)}, ) is the photon density at the position {right arrow over (r)}, is the modulation frequency of light (in this study a CW domain was used, so =0), Q.sub.0({right arrow over (r)}, ) represents the isotropic source, c is the speed of light in the medium and .sub.a is the absorption coefficient; finally, D({right arrow over (r)}) is the optical diffusion coefficient which is defined as:
D({right arrow over (r)})=[.sub.a({right arrow over (r)})+.sub.s({right arrow over (r)})]Eq. 2
(44) Where .sub.s({right arrow over (r)}) is the reduced scattering coefficient and is defined as .sub.s({right arrow over (r)})=.sub.s({right arrow over (r)})(1g). Here .sub.s({right arrow over (r)}) is the scattering coefficient and g is the anisotropic factor. Equation (1) can be solved using the finite element method (FEM) and applying Robin-type (30) (known as type III or mixed) boundary condition to model the refractive index mismatch at the boundary.
(45) For a CW system, measurements are only amplitudes of light intensities and are used to estimate the spatial distribution of the product of .sub.a({right arrow over (r)}) and .sub.s({right arrow over (r)}), namely, .sub.eff({right arrow over (r)})=.sub.a({right arrow over (r)}).sub.s({right arrow over (r)}), or the distribution of .sub.a({right arrow over (r)}) if .sub.s({right arrow over (r)}) is known and homogeneous. It is known that .sub.eff ({right arrow over (r)}) values of prostate cancer are different from those of normal prostate tissues. Based on previous knowledge learned from breast cancer detection and diagnosis with DOT, this study was started with an assumption that light absorption .sub.a({right arrow over (r)}) is the major source for optical contrast between cancerous and normal prostate tissues, while changes in .sub.s({right arrow over (r)}) induced by prostate cancer are much less significant. Accordingly, the aim of the DOT reconstruction in this paper is to recover the light absorption property, .sub.a({right arrow over (r)}), from NIR measurements taken on the boundaries. The objective function, , for this procedure can be written as
=.sub.D,.sub.
(46) Where y is a matrix to express all the measured data, F is the forward-calculation operator (or matrix) that generates diffusion-based light propagation responses, .Math..sup.2 is the L2 norm, is the regularization parameter and .sub.a0 is the initial estimate of light absorption coefficient. Note that variables D, .sub.a and .sub.a0 are simplified notations for D({right arrow over (r)}), .sub.a({right arrow over (r)}), and .sub.a0({right arrow over (r)}), respectively. By minimizing Eq. (3), which is achieved by setting the first derivative of Eq. (3) with respect to .sub.a as zero following a Taylor series, and ignoring the 2.sup.nd and higher order terms, the following updated equation is arrived at:
(J.sup.TJ+I)(.sub.a)=J.sup.T[yF(.sub.a)]+[(D,.sub.a)(D,.sub.a0)]Eq. 4
(47) Where J is the Jacobian matrix, I is the identity matrix, and .sub.a (.sub.a=.sub.a.sub.a0) is a spatial distribution matrix of changes in .sub.a with respect to the initial given value. Note that .sub.a0 is only the initial estimate at the first iteration. After the first iteration, .sub.a0 is basically the previous estimate. Now Eq. (4) becomes Eq. (5) after .sub.a.sub.a0 is replaced by .sub.a,
(J.sup.TJ+2I)(.sub.a)=J.sup.T(yF(.sub.a)).Eq. 5
(48) As mentioned earlier, only changes in .sub.a were considered here, because the DOT measurement utilizes CW NIR light with an assumption that variation in light scattering across the medium is minimal Specifically, a uniform distribution of .sub.s({right arrow over (r)})=10 cm.sup.1 was utilized across different prostate tissue regions in all simulation examples to be shown in Section 3. Then, further discussion can be had regarding how to remove or modify this assumption in Section 4.
(49) Hierarchical clustering. In the HCM 100, the reduction of a parameter space is realized by segmenting the medium or region of interest (ROI) into several geometric units or clusters. Each of the geometric clusters was assumed to be homogeneous and to have the same optical property. In this way, the medium or image domain could be partially heterogeneous since the domain may contain several geometric clusters. During the DOT image reconstruction process, a value of .sub.a from each cluster was updated using Eqs. (3) to (5). Since the size of each cluster was user-defined, the smallest could be a single FEM mesh node and the largest could be the entire domain regionsimilar to that used in the regular reconstruction method without any spatial prior. Specifically, the nodes in the mesh were tagged and separated into clusters, as indicated by c.sub.1, c.sub.2 . . . c.sub.j with respect to each cluster. The Jacobian matrix in Eq. (5) was then modified to be J* as given by:
J*=JC,Eq. 6
(50) Where matrix C had the size of NNNC (number of nodesnumber of clusters). The elements of matrix C were given as follows:
(51)
(52) Where i marks the number of nodes and j labels the number of clusters. By the end of each iteration, the solution vector of .sub.a was mapped back to each node using Eq. (8),
.sub.a=C(.sub.a*)Eq. 8
(53) Where .sub.a* is the vector with optical properties in respective geometric clusters solved from Eq. (5). The function of matrix C is to transform the initial image domain into a new image domain where the inverse procedure is performed with cluster-based geometric structures. Matrix C is a mediator or operator that converts the regular geometry to and from cluster-based geometry for the reconstructed object. So, technically no inversion or transpose of C is directly involved.
(54) Initially, two ROIs were reconstructed, such as background and an anomaly; the background mesh was geometrically segmented in a heterogeneous fashion. For multiple ROIs, the proposed method was hierarchically implemented by segmenting the region which was more prone to cancer, while utilizing available prior information. Specifically, the proposed method was implemented in multiple steps, as shown in
(55) In step 102 of the HCM 100, reconstruction was performed based on prostate anatomic images offered by TRUS and the assumption of a homogeneous prostate. With such hard prior spatial information collected, the reconstructed .sub.a values in both background and prostate regions (as two ROIs) should be reasonably accurate with respect to the actual values, assuming that the sizes of the prostate tumors are much smaller than the size of the prostate. Then, the reconstructed .sub.a values in available ROIs would serve as the initial guess in steps 104 and 114.
(56) Steps 104, 106, 108, 110, and 112 of the HCM 100 were dedicated to finding the probable locations of anomalies (i.e., prostate tumors). To achieve this, the prostate region was geometrically divided into several clusters, so that the prostate tissue became a heterogeneous medium (e.g., See
(57) Specifically, the initial volume of a cluster was chosen to be 111 cm.sup.3. Then, the volume of the cluster was varied by increasing the length of the cluster in each of the x, y, and z dimensions iteratively. For example, an increase in length of 0.5 cm in only the x direction gave rise to a unit volume of 1.511 cm.sup.3, followed by the same length increase in only y or only z direction. In this way, eight different unit volumes in three x, y, z directions were generated by increasing the linear length in only one dimension (x, y, z), or in two dimensions (xy, yz, xz), or in three dimensions (xyz). The procedure is given as follows: (1) reconstruct an initial .sub.a image with a starting base unit size (i.e., 111 cm.sup.3), (2) save the reconstructed image, and go back and change the unit volume size (e.g., 1.511 cm.sup.3 or 1.51.51 cm.sup.3 or 1.51.51.5 cm.sup.3) and reconstruct the image again (step 104 in
(58) In step 114, if some suspicious clusters in step 112 are seen, all of the non-suspicious clusters are grouped as one new single cluster, and the suspicious clusters are divided into further smaller clusters. Next, an initial unit volume size used within the suspicious regions is set to be 0.50.50.5 cm.sup.3. The procedure explained above is repeated here with a length variation of 0.25 cm in any one of three dimensions. Similar to step 104, the final reconstructed image of Step 3 is an average of eight images (j=8) that are obtained by varying the unit volume in eight different fashions. FWHM of the .sub.a values is still used to localize suspicious regions for further inspection with an improved spatial resolution.
(59) The HCM 100 utilizes a region-specific regularization parameter to favor reconstruction in the prostate region using a hierarchical approach. The underlying rationale of this approach was previously discussed where the regularization parameter controls the level of optical property updates at each iteration. A larger regularization parameter gives rise to a subtle update, while a smaller regularization parameter offers a steeper update with a broader solution range. A smaller regularization value applied to the prostate region permits the HCM 100 to focus only on the prostate and to accurately update the reconstructed optical properties of the prostate. Finally, in step 122, the reconstruction process is repeated using the suspicious regions identified in previous steps as hard prior anatomy or as given cancer regions, with a uniform initial guess as used in step 102.
(60) In principle, selections of regularization parameters and stopping criterion play a key role in any iteration-based reconstruction techniques. For the various iterative steps of the HCM 100, the number of iterations was empirically determined. For step 102, the regularization parameter was 10 and the stopping criterion was indicated when the change in projection error was less than 2% of that in the previous iteration. For steps 104, 106, and 108, the regularization parameter was 0.1, and the stopping criterion was indicated when the change in projection error was less than 20% of the previous iteration. The reason for this criterion at steps 104, 106, and 108 was that the value of the regularization parameter was so small, that the noise began to dominate the reconstructed images. For steps 114, 116, and 118, the regularization parameter was decreased to 0.001 while keeping the same stopping criterion as that in steps 104, 106, and 108.
(61) The above specification and examples provide a complete description of the structure and use of illustrative embodiments. Although certain embodiments have been described above with a certain degree of particularity, or with reference to one or more individual embodiments, those skilled in the art could make numerous alterations to the disclosed embodiments without departing from the scope of this invention. As such, the various illustrative embodiments of the devices are not intended to be limited to the particular forms disclosed. Rather, they include all modifications and alternatives falling within the scope of the claims, and embodiments other than the one shown may include some or all of the features of the depicted embodiment. For example, components may be omitted or combined as a unitary structure, and/or connections may be substituted. Further, where appropriate, aspects of any of the examples described above may be combined with aspects of any of the other examples described to form further examples having comparable or different properties and addressing the same or different problems. Similarly, it will be understood that the benefits and advantages described above may relate to one embodiment or may relate to several embodiments.
(62) The claims are not intended to include, and should not be interpreted to include, means-plus- or step-plus-function limitations, unless such a limitation is explicitly recited in a given claim using the phrase(s) means for or step for, respectively.