Registration
Home Up Cancer Treatment Cancer Detection Enlargement Registration

 

Author : Ms. Shao Wei
Last Updated : 18 May 2007

Image Registration for integration of MRI/MRSI information in TRUS-guided prostate biopsy

 

1. Background

Prostate cancer is ranked as the second leading cause of cancer death in men, and among the six most common cancer diseases for Singapore male. Early detection of prostate cancer can gain much more chances of successful treatment. However, there are no clear symptoms of prostate cancer until it is quite advanced, which makes it different from breast cancer or testicular cancer in which regular self examination can be important in finding early signs of the disease.

Figure 1. Anatomy of the prostate

Digital rectal examination (DRE) and prostate-specific antigen (PSA) blood test are routine screening methods for the early detection of prostate cancer. When a patient has an abnormal DRE result (enlarged or irregular shape) and/or an elevated PSA level (>4ng/ml), he is suspected to have a cancerous prostate and will be recommended to undertake a needle biopsy, mostly often under transrectal ultrasound (TRUS) guidance. In order to detect the cancer, the biopsy needle is required to sample at the cancer site (if one exists). So an ideal biopsy protocol should be capable to yield high cancer detection rate with minimal biopsy points. TRUS guided sextant biopsy for the prostate has been the standard protocol in this field since the early 90s. With the obtained 2D ultrasound images of the prostate, the urologist decides the area of interest and inserts the needle transrectally into the gland to take a tissue sample. However, the biopsy may still yield a false negative result because of missing the cancerous targets among the limited number of biopsy sites. Studies have shown that the TRUS-guided transrectal biopsy can only achieve a positive detection rate no higher than 30%. Another reason partially attributed to the low detection rate is the inaccuracy of the needle placement of the current biopsy procedure. 

From 2002, our group have been dedicated to developing a TRUS-guided robotic system for transperineal prostate biopsy,named URobot. This project is under the collaboration between a group of researchers in Computer Integrated Medical Intervention Lab, Nanyang Technological University, and medical consultants in Department of Urology, Singapore General Hospital. This system aims at a percutaneous biopsy, and performs multiple-core biopsy through just a singlepoint, thus overcoming the drawbacks of the conventional prostate biopsy whose trajectories pass through the fragile rectal wall. Our system allows the urologist to define the needle¡¯s entry point at the perineal wall, and make the biopsy plan on the fly, directly on the patient's 3D prostate model which is constructed from the TRUS images. With this robot, a uniform standard can be established regardless of the urologist's skills and experience. And the use of TRUS as the guidance keeps the system radiation-free and low-cost for clinical application. However, the image quality of ultrasound is just good enough to determine the gland location and shape, thus to construct the 3D organ model. Even though the urologist can decide the biopsy cores based on the established biopsy protocols, such as the sextant or 10-core, it is quite possible that the biopsy could miss the malignant target, leading to inaccurate or false negative results, i.e., informing a patient free of cancer but in fact not. In this case, the robotic implementation could not gain much higher cancer detection rate than that of the manual approach, since they follow the same standard to choose the biopsy cores. 

A second generation of the robotic system, BioXBot, was designed in 2005, which inherited the advantages of the previous robotic system and will be enhanced with new features. The first improvement is to increase the number of puncture point from one to two, to guarantee an overall coverage of the prostate for biopsy, which may not due to the space restriction between the biopsy gun and the TRUS probe, So one of the new features added to BioXBot. Another important feature is to integrate a suspected cancer map obtained from Magnetic Resonance Imaging (MRI) and Magnetic Resonance Spectroscopy Image (MRSI) onto the TRUS image, so that the biopsy can be guided with potential targets. MRI is a well-established technique that produces high-contrast images regarding to tissue components. When the cancer carcinoma grow to some extent, it is possible for experienced radiologists to distinguish them from the normal regions, as the cancer is usually identified as an area of low signal intensity within the peripheral zone on T2-weighted images. As an extension of MRI, MRSI is a method of obtaining biochemical information from a series of local spectrum analysis over the prostate gland. Significantly higher choline/creatinine levels and lower citrate levels are usually obtained in regions of cancer compared with benign and normal prostatic tissue, so the ratio of these metabolites (choline/creatinine to citrate) in a local region could indicate a positive suspect. There are already plenty of studies on MRI/MRSI ability in predicting the cancer existence in the prostate. 

A successful image fusion can superimpose the suspected cancer distribution from MRI/MRSI information on the real-time prostate images, thus provide a predictive cancer map to the scenario, from which are used to plan the biopsy cores. This technique should be able to improve the detection rate of the prostate caner and reduce the likelihood of false negative result in biopsy findings.

2. Image registration

Image registration is a procedure to determine a transformation between two image spaces or between an image space and a physical space so that correspondent features can be matched. Technically, it is an algorithm concerning the following points: 

- Nature of transformation ¨C this must be determined before the registration is applied: whether the transformation should be a rigid one, with 6 degrees of freedom (DOFs) for three-dimensional space, or a non-rigid one, allowing much more complex deformation (involving more DOFs). 

- Representation of transformation ¨C this is determined by the problem solver. A unwise selection of the representation would make your problem even more complex to solve. And it is quite related to the complexity of the transformation because the DOFs is proportional to the number of unknown parameters in the transformation to be solved. The usual expression of the transformation can be polynomial (for either rigid or nonrigid transformation, mostly for the former), radial basis function like "thin-plate spline" or "B-spline" (mostly for nonrigid transformation), or deformable model like ¡°physical model¡± or ¡°diffusion model¡± (for nonrigid transformation). 

- Solve the transformation ¨C The transformation can be solved as a pure interpolation problem when correspondences at some sparse points are known. For example, some feature points can be easily identified in both images by human or algorithms. In that case, any displacement vector in this field can be calculated by interpolating among those displacement vectors available at neighborhood correspondences. If the correspondences could not be established beforehand, searching for the transformation falls into an iterative optimization procedure: the correspondences have to be searched and evaluated with certain similarity measurements. 

A notable application of the image registration technique in medical field, is to fuse two image information, that is, to bring the detailed structural or metabolic information from a high-contrast image source, which is usually collected pre-operatively regardless of time consumption concern and may even contain enriched expert diagnosis information, to the another image resource, which is real-time, easily applicable in intra-operative situation but of poor quality, like the ultrasound. 

However, we know that the prostate is made of soft-tissue, and so does most of its surroundings tissue. The difference between them is their component and stiffness. This explains why the prostate would deform comparing the images captured separately with the two image modalities for the same patient. Researchers have concluded two possible reasons. One is the different amount of rectal filling caused by the imaging probes. This cause account for most of the deformation occurred in the prostate. Since the endorectal MRS probe is much larger than the TRUS probe, the prostate would be more pushed against the pubic arch by the MRS probe. The description of the prostate deformation in MRSI compared to TRUS image has been summarized, that the whole gland increases at transverse dimension and decreases at anterior-posterior (AP) direction, with relatively greater decrease for peripheral zone (PZ) than for central gland (CG, including central zone, CZ, and transition zone, TZ), while no statistical change at superior-inferior (SI) direction. Another nonnegligible cause comes from the change of the patient postures where the patient would lie supine in MRI/MRSI exams, while keeps a lithotomy position in TRUS exam. Different posture of the feet would also bring different constrains to the prostate. So in our application, the rigid registration which just solves six degrees of freedom is not enough to explain the transformation that is far from no or little deformation. For the sake of accuracy, which is crucial for medical purpose, a deformable registration procedure is highly preferred. Nevertheless, the rigid registration still plays an important role in the deformable strategy, as it can provide an initial transformation ahead of the nonrigid one. This initial transformation can compensate the global rotation and translation, so that reduce the amount of displacement has to be solved in the nonrigid step. This consideration can ensure a stable solution through replacing a transformation concerning a large number of DOFs by a rigid transformation plus a residue transformation concerning less deformation. 

Manual alignment is a basic and reliable way in image registration since it often provides a subjective criterion for other techniques claiming free of human intervention. So it still serves as a popular method in the prostate registration problem. And usually a good navigation tool is necessary to allow the user to choose the correspondences between the two sets of images to be matched. The drawback of this kind of system is that it is not a relaxing work for the user when the number of correspondence to be defined is large. So the trend is that the registration algorithms were developed to determine the transformation (direct way) or correspondences intuitively (indirect way), thus substitute or decrease the manual work. One common solution to the prostate registration is surface-based. The prostate surface of both images (regardless image modalities) is extracted, then registered together either by a geometric measurement (such as distance) or as a biomechanical model. These methods were prevalent for registration whose imaging modality is poor in interpreting intensity contents, e.g., ultrasonography. The surface extraction could be done by human, or by some processing algorithms, depending on the image quality and applicability of the processing on the image. Matching of two surface can be driven by a distance measure like what Zaider et al did for MRI/CT prostate registration, or by a deformable model taking the tissue stiffness and stress into account. In theory, the physical model simulates the prostate deformation best, but it requires a good guess of the tissue parameters (stiffness and stress) and the boundary conditions of the prostate surface before and after deformation. Another big family of registration techniques is based on intensity, which relies on the original image information, usually with no or quite few pre-processing. This kind of method generally gives more freedom to the user, but it has imposed a high requirement on the image quality inherently. Most of the prostate registration using intensity-based method were under the fact that both the source and target images were of high SNR, and much often the peripheral structural information other than the prostate in the pelvic images played an important role, as the monomodal prostate registration presented by Court et al, Fei et al, Wang et al, and Wu et al, and the multimodal registration by Lee et al and Schreibmann et al. 

In our BioXBot system where MRI/MRSI and TRUS are to be matched, the intensity-based approach is not reliable, due to the vast lack of anatomic similarity from the former to the latter. Physical model is a good choic,e but it requires knowledge of the tissue properties and boundary conditions which are actually unavailable in reality. Last but not least, FEM is a complex computation method that consumes time as well as memory. So, in order to reach a good balance between accuracy and computation load, we utilize a framework including a global rigid alignment followed by a nonrigid transformation using thin-plate spline, to match the cross-model prostate surfaces and thereafter their image volumes.

3. Methods

We employed the following two steps as our strategy to solve the problem: firstly a rigid registration is applied to search for a global transformation including three translation vectors and three rotation angles around the x, y and z axes; a deformable registration is executed to calculate the residual displacements over the prostate volume. ¡¡

3.1 Rigid registration

Utilization of the global registration assumes a rigid-body between the two image spaces. Although within the pelvic cavity, only the bone structures, like the pubic arch, satisfies with this assumption, a rigid registration is still applicable to some other organs like the prostate, the rectum and etc. The dispensable condition is that the object chosen for registration must be identifiable in both image modalities. Otherwise, no correspondence can be found between the two image spaces therefore no similarity can be evaluated.Two choices of rigid registration are offered in xRegLib, based on the data representation of the object selected for registration. The first option is the surface-to-surface registration technique, given that the organ¡¯s surface in both images is available for registration. The classic Iterative Closest Point (ICP) algorithm, proposed by Besl and McKay, is a typical representative for this kind of technique. ICP algorithm is fast and simple, but requires extra effort to delineate surface from both images and somehow sensitive to the outlier problem. BioXBot operating system provides a convenient interface that allows the user to outline the organ boundaries in the parallel slices and construct a NURBS (Non-Uniform Rational B-Spline) surface to describe the organ shape. Inputs to the ICP algorithm are two sets of point clouds sampled on the two surfaces from different image modalities. The ICP algorithm searches for the transformation Tg by minimizing a dissimilarity measure fICP, i.e., the mean squared distance between the two sets of points (source and target), as shown in Equation 1: 

    (1) 

where N denotes the number of points used for correspondence estimation, which is also the smaller number between the two. (x,y,z) is the point coordinate in target space, and (x',y',z') is the coordinate in source space. Usually it is required that the number of points in target space should be no less than that of the source. 

The other option provided is a surface-to-image registration technique, where only organ surface in MRI/MRSI need to be extracted; the corresponding organ in TRUS image can be automatically located by maximizing an intensity-based similarity measurement. Compared to the surface-to-surface based registration, this approach is superior when less human intervention is preferred in intra-operative case. It is designed to be a procedure driven by a genetic optimization to maximize an intensity-based fitness function with respect to the surface points. Therefore, only surface construct in the pre-operative MRI image is needed. The intensity-based fitness function, i.e., the similarity measure that evaluates the registration quality, is formulated for the registration approach using the prostate surface or the pubic arch surface. 

Genetic algorithm (GA) is well-known for its strength in global optimization and free of initial guess. This is also the reason why we choose GA as the optimization technique for this approach. GA explores the solution space of a function through the use of simulated evolution, i.e., the survival of the fittest strategy. It is a massively parallel (global) search method: rather than work on one species at a time, it can test and change millions of species in parallel. Species are chromosomes that encode solutions to the problem at hand. A fitness function then judges how well a chromosome solves the problem by assigning a fitness score to each chromosome accordingly. Species evolve by means of random variation (via mutation, recombination, and other operators), followed by natural selection in which the fittest tend to survive and reproduce, thus propagating their genetic materials encoded in chromosome to future generations. 

The formulation of the similarity measure for the prostate surface, is derived from the fact that there is high image gradient at the boundary of the organ which is usually of different acoustic properties with its neighbors. is its intensity is much higher than its neighborhood. So the metric is formulated as the averaged image gradients along the normals of the surface. We refer it as ¡°Projective Gradient¡± (PG). 

(2)

where is the intensity gradient calculated from the original ultrasound image I. is the normal vector at the i-th surface point . <> is the inner product operator. Similarly, the nearest-neighbor operator [] is used to calculate the intensity value at any surface point in ultrasound image.

The similarity measurement for the pubic arch is formulated from the fact that the ultrasound can hardly penetrate the bone structure. Therefore the only bon structure in pelvic cavity, the pubic arch, will appear as a high-intensity echogenic surface with homogenous dark in anterior shadow. So it was evaluated as averaged radial ¡°gradient¡± between the voxels fallen at the surface against those at the rear, referred as ¡°Intensity Shadow¡± (IS) measure.

(3) 

where M is the user-defined depth of the posterior region (counted in voxels). denotes the unit vector of the radial echo emitted from the ultrasound probe to the point on surface at depth of zi. Since the 3D TRUS image was constructed by a series of transrectal images (in x-y plane) scanned at even intervals (in z direction), the gray value at any voxel was only determined by the reflected echo energy emit and received at the same z depth of the voxel. According to this rule, the intensity ¡°gradient¡± is calculated radially, along the ultrasound propagation direction, from the transducer center to the surface point, and within the 2D image slice at this depth. I

3.2 Deformable registration

Once the overall translation and rotation has been solved, the deformable registration can be applied, to refine the transformation locally, i.e., by allowing for more DOFs in the transformation. The transformation at this stage can be described as a partial differential equation of a physical model, or a displacement field represented in form of polynomial or spline. In xRegLib, the deformable transformation is represented as a combination of radial basis function, i.e., thin-plate spline. 

An assumption of the non-rigid registration was made in the coordinate system of the TRUS images, that once the prostate has been globally rotated and translated by the previous rigid registration, the cross-plane deformation along SI direction is only scaling. Therefore, the 3D non-rigid registration is done in slice-by-slice manner. When TPS was employed to describe the deformation field as an interpolant that minimizes the bending energy through control points. To determine the control points, say point sets P and Q for source and target space respectively, manual selection of landmark based on intensity information is infeasible here because of the poor image quality. Hence, the geometric information, such as the curvature information, as well as the arc-length-based parameterization of the pre-deformed and deformed surface, was utilized to establish the correspondence. 

The prostate surface in TRUS images can either segmented manually, or predicted based on the initialization from registered result. Its parameterization should follow the same way how SMR was parameterized, thus described as SUS: xB(u,v) = [x(u,v), y(u,v), z(u,v)]T. And the rigidly-transformed surface Tg(SMR) will be re-parameterized to accommodate with the US image coordinate system. Once the two surfaces were parameterized in a same space, a rough one-to-one mapping T could be established on (u,v) domain, i.e., correspondence on parametric coordinate: 

(4) 

where WMR and WUS represent the respective space domain, and D is the parametric space where 0?u?1 and 0?v?1. This matching is actually relevant to arc length in u and v directions. Let Q denotes the conversion from parametric coordinate (u,v) to Cartesian coordinate (x,y,z) in one NURBS surface formulation, , and Q-1 its reverse conversion, , the transformation T in Cartesian coordinate system could be worked out by the two point sets P and Q of same coordinate in parametric coordinate system, using TPS as the radial basis function. 

However, this matching might fail for irregular shapes. Solution to this problem is to take additional geometric information, such as the curvature information, into account to determine the correspondence. Once the deformation was decoupled into u- and v-space according to our assumption, some feature points were to be identified within each image plane. These prominent features can be chosen at those corner points which are mostly representative to the closed contour of the prostate shape in MRI/MRSI scanning. They are the anterior corner (AC), the posterior corner (PC), the left corner (LC) and right corner (RC) along the closed 2D contour. Not only for automatic detection, selection of control points on these corner features can also ensure maximum coverage of the prostate region. Firstly, slice correspondence was set up by proportional scaling with respect to the centroid along the z axis (v-space). Secondly, the prominent corner points (PAC, PPC, PLC and PRC) were identified automatically in MRI data based on the Gaussian curvature calculated along the contour in each slice. By connecting the same feature points cross sections, four ridges were constructed, representing the global frame of the prostate shape. The point coordinate (x,y) on each ridge will be a function with respect to the section depth z: . A low-pass filtering (Gaussian filter) is thereafter applied to reduce the interslice fluctuation in planar point identification, . The smoothed ridge was then projected back to each section contour and the projection will be the updated feature points. This procedure can also be repeated until the projection distance after smoothing is within a threshold. Thirdly, the correspondent QAC and QPC points in TRUS data were still identified based on curvature and arc length information. But the correspondence of the other two features, QLC and QRC, will be determined based on arc length information, that is, proportional arc length in left (or right) half segment.The number of the sampling points within each segment was usually selected empirically, considering the balance between accuracy and computation expense.

Thin-plate spline (TPS) was originally proposed by Harder et al in aircraft wing designs and later employed to describe deformations that minimizes the bending energy through control points. The TPS based transformation solves the transformation in an interpolant manner with respect to displacement between surface correspondences P and Q, where the displacement vectors are propagated from the sparse control points to their neighborhood. Its expression for 3D is as follows, 

(5) 

where (x, y, z) and (x', y', z') are coordinate in source and target space, respectively. ci,j and wj,k are the unknown coefficients and weights determined by Q=Ti(P). Because of the planar assumption on the transformation, the volumetric deformation would be decoupled to component Tx,y in x-y plane and Tz along z-axis , 

(6) 

with the basis function . Coefficient cz was determined by the proportional scaling in z axis, with respect to the center of mass. ¡¡

4. Experimental Results

Experimental data, the MRI/MRSI and TRUS images of the patient or the phantom were acquired using the same systems, but may varying in the acquisition parameters. We used a 1.5 Tesla whole body GE MR systems (GE Inc, USA) for all the MRI scans. The patient would be kept in a supine position during the scan. T2-weighted fast spine-echo scanning was performed under TR/TE of ~6400.0/85.6ms The slice thickness may range 3~4mm, and slice spacing 0-1.0 mm. Imaging resolution could be 256x256, or 512x512 pixels in field of view (FOV) of 12.0x12.0 mm2. The ultrasound system integrated in BioXBot system was used to collect the TRUS image, with a stepping driving the endorectal probe at 1.0mm interval. During the intra-operative ultrasound imaging, patients were kept in a lithotomy position for the convenience of delivering biopsy or brachytherapy. The typical resolution of the transrectal image was 0.18x0.18 mm2.

4.1 Experiment results on the surface-to-image registration algorithm

Experiments on the surface-to-image registration algorithm were only applied to the prostate and the pubic arch. Due to the space limitation, here we just illustrated some of the results reported in our previous paper.

We have tested the surface-to-image algorithm applied to the prostate using projective gradient measure in the self-registration. In the TRUS image self test, the accuracy evaluated among 5 patients was found to be around 0.59¡À0.20mm in translation and 1.45¡À0.53¡ã in axis-angle rotation. 

A sysmetic validation test was performed on the surface-to-image registration technique applied to the pubic arch, which is used to establish the global transformation between MRI/MRSI and TRUS. The three fitness function, AI, PG and IS have been evaluated over fourteen patient data with self-test mode. The averaged translation error was found to be 2.04¡À0.68mm, 3.31¡À1.15mm and 1.87¡À0.54mm for the AI, PG and IS measure, respectively. Correspondingly, the averaged rotation error was 3.22¡À1.63¡ã, 4.85¡À1.92¡ã and 2.55¡À 1.13¡ã. 

Based on the experimental results, and considering the transformation nature for the surface-to-image technique, we recommended using the pubic arch surface as the object to be registered, and use the intensity shadow as its similarity measure.

4.2 Experimental results on the deformable registration of the prostate

Because of the difficulty to establish the ground truth for the deformable registration, we use the phantom data, instead of the patient data, to evaluate the deformable algorithm. A specially-designed elastic phantom, which includes a simulated prostate, a rectum, a set of pubic bone and surrounding tissues, was set up for validation purpose (Fig. 2). To quantitatively evaluate the deformation of the prostate, 45 fiducial markers were seamlessly implanted into the prostate in a regular distribution. These dummy markers were designed as small-sized cylinders of 1mm in diameter and 2~3mm in length. They were visible in MRI images, so their positions could act as the "ground truth" for error estimation, and would not used for registration itself. Another superiority of this phantom over other commercially available ones is that its ¡°rectum¡± was designed to be elastic; it is able to expand when the MRS probe is inserted and shrink back when probe is taken out. The diameter of the resting rectum is around 10mm. The ¡°pubic bone¡± was mounted beyond the prostate, to simulate the real patient condition that it restrains the prostate from displacement in the anterior direction. 

In our phantom study with TRUS imaging, we found that the image quality is not good enough to differentiate the markers from the background speckle noise. So we make a MRI to MRI pre- and post-deformation registration to simulate the MRI to TRUS registration problem, as our deformable algorithm have nothing to doing with the ultrasound image intensity, but only the prostate surface, which could be replaced by the same organ surface shown in the pre-deformation MRI images. 

The experimental results of the marker¡¯s displacement error (DEi) is calculated against the markers' displacement error: 

(7) 

where xA and xB represent the point coordinate in the source and target space. T is the transformation between the two spaces. Fig.3 showed the MRI-scanned phantom image (a) with relaxed rectum, and (b) with the inflated endorectal balloon in rectum, where the scanning condition without probe inserted is used to simulate the similar TRUS imaging. The statistical analysis of the registration error over 45 identifiable markers, showed that our method could achieve an accuracy of about 1.71¡À0.55 mm.

Figure 2. The prostate phantom under the TRUS scanning (the TRUS probe is driven by a step motor.)

Figure 3. Transverse, sagittal and coronal views of the phantom in MRI images scanned (a) with the empty ¡°rectum¡±. (b) with MRS endorectal coil filled in the ¡°rectum¡±. The endorectal balloon was injected by 40ml air. In both set of volumes, the 3D prostate model

The registration experiments on patient data were demonstrated in Fig 4-7. Fig. 4 showed the procedure of the ICP algorithm applied to the prostate. Fig. 5 is the application of the surface-to-image registration applied to the prostate and Fig 6 is the result of the surface-to-image algorithms applied to the pubic arch for two patients. Fig. 7 is the deformable registration applied to the prostate.

Figure 4. Registration of the prostate using ICP algorithm (a) segmenting the prostate from MRI image stack (b) segmenting the prostate from TRUS image stack (c) registering the MRI surface to TRUS image space.

Figure 5. Registration of the prostate by Surface-to-image algorithm using projective gradient similarity measurement (a) segmenting the prostate from MRI image stack (b) import the prostate surface into TRUS image space (c) registering the MRI surface

Figure 6. Registration experiment by the surface-to-image method applied to the pubic arch "intensity shadow" similarity measure. (a) Before registration for patient 1 (b) Before registration for patient 2. (c) After registration for patient 1. (d) After registration for patient 2

Figure 7. Deformable registration applied to the prostate between MRI and TRUS. (a) The prostate surface from MRI image (semi-transparent pink) and the prostate in TRUS image (semi-transparent green). (b) Sagittal view of (a). (c) The deformed MRI prostate surface (opaque pink), the original surface (semi-transparent pink) and the TRUS prostate surface (semi-transparent green). (d) Sagittal view of (c). (e) The MRI prostate surface mesh before registration. (f) The target TRUS prostate surface mesh. (g) The deformed mesh of (e) after registration.

5. Conclusion

As we have mentioned, the objective of the image registration is to provide a suspected cancer map to the intra-operative ultrasound guided biopsy for BioXBot system. In this means, the cancer information provided by the pre-operative MRI and MRSI can raise a new protocol for the biopsy planning, which will reduce the blindness and put more focus those sites with high possibility. As shown in Fig. 8, where the tumor diagnosed from MRI/MRSI are transformed and superimposed onto the ultrasound image. With the knowledge of the visualized tumor and maybe some other anatomic structures brought from MRI images, the biopsy could be planned by clear indication of targets and the biopsy needle could be guided to avoid some sensitive structures such as the urethra (if its boundary can be extracted from MRI images).

Figure 8. Deformable registration applied to the prostate between MRI and TRUS, with simulated tumor inside. (a) The prostate surface from MRI image (semi-transparent pink), the tumor (opaque pink), and the prostate in TRUS image (semi-transparent green). (b) Sagittal view of (a). (c) The deformed MRI prostate surface (semi-transparent pink), and the transformed tumor (opaque pink). (d) Sagittal view of (c). (e) The surface meshes of the MRI prostate and tumor before registration. (f) The target TRUS prostate surface mesh (g) The deformed mesh of (e) after registration.

 

Acknowledgements

The research group wishes to acknowledge the support of National Medical Research Council (NMRC) Grant 0859/2004, Urology Center of Singapore General Hospital and National Cancer Centre Singapore. The author owned great thankfulness to our collaborators Dr. Choon Hua Thng from National Cancer Centre, Dr.Christopher Cheng and Dr.Henry Sun from Urology Center.

 

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