Automated Finite-Element Analysis for Deformable Registration of Prostate Images

Two major factors preventing the routine clinical use of finite-element analysis for image registration are: 1) the substantial labor required to construct a finite-element model for an individual patient's anatomy and 2) the difficulty of determining an appropriate set of finite-element boundary conditions. This paper addresses these issues by presenting algorithms that automatically generate a high quality hexahedral finite-element mesh and automatically calculate boundary conditions for an imaged patient. Medial shape models called m-reps are used to facilitate these tasks and reduce the effort required to apply finite-element analysis to image registration. Encouraging results are presented for the registration of CT image pairs which exhibit deformation caused by pressure from an endorectal imaging probe and deformation due to swelling.

[1]  Edward L. Chaney,et al.  Medially Based Meshing with Finite Element Analysis of Prostate Deformation , 2003, MICCAI.

[2]  Patrick M. Knupp,et al.  Hexahedral Mesh Untangling & Algebraic Mesh Quality Metrics , 2000, IMR.

[3]  Wieslaw Lucjan Nowinski,et al.  Talairach-Tournoux brain atlas registration using a metalforming principle-based finite element method , 2001, Medical Image Anal..

[4]  Robert L. Galloway,et al.  Compensating for intraoperative soft-tissue deformations using incomplete surface data and finite elements , 2005, IEEE Transactions on Medical Imaging.

[5]  Stephen M. Pizer,et al.  Medial techniques for automating finite element analysis , 2003 .

[6]  Anand Rangarajan,et al.  A new algorithm for non-rigid point matching , 2000, Proceedings IEEE Conference on Computer Vision and Pattern Recognition. CVPR 2000 (Cat. No.PR00662).

[7]  P. Ciarlet,et al.  Mathematical elasticity, volume I: Three-dimensional elasticity , 1989 .

[8]  K. Bathe.  Finite Element Procedures , 1995 .

[9]  Martin J. Yaffe,et al.  Biomechanical 3-D finite element modeling of the human breast using MRI data , 2001, IEEE Transactions on Medical Imaging.

[10]  David J. Hawkes,et al.  Validation of nonrigid image registration using finite-element methods: application to breast MR images , 2003, IEEE Transactions on Medical Imaging.

[11]  Herve Delingette,et al.  Real-Time Elastic Deformations of Soft Tissues for Surgery Simulation , 1999, IEEE Trans. Vis. Comput. Graph..

[12]  Russell H. Taylor,et al.  A Combined Statistical and Biomechanical Model for Estimation of Intra-operative Prostate Deformation , 2002, MICCAI.

[13]  Y. Fung,et al.  Classical and Computational Solid Mechanics , 2001 .

[14]  David L Wilson,et al.  A comparative study of warping and rigid body registration for the prostate and pelvic MR volumes. , 2003, Computerized medical imaging and graphics : the official journal of the Computerized Medical Imaging Society.

[15]  Yohan Payan,et al.  A 3D Finite Element Model of the Face for Simulation in Plastic and Maxillo-Facial Surgery , 2000, MICCAI.

[16]  Ron Kikinis,et al.  Registration of 3D Intraoperative MR Images of the Brain Using a Finite Element Biomechanical Model , 2001, IEEE Trans. Medical Imaging.

[17]  Ken Goldberg,et al.  Registration of MR prostate images with biomechanical modeling and nonlinear parameter estimation. , 2006, Medical physics.

[18]  A. D'Amico,et al.  Evaluation of three-dimensional finite element-based deformable registration of pre- and intraoperative prostate imaging. , 2001, Medical physics.

[19]  H. Saunders.  Book Reviews : NUMERICAL METHODS IN FINITE ELEMENT ANALYSIS K.-J. Bathe and E.L. Wilson Prentice-Hall, Inc, Englewood Cliffs, NJ , 1978 .

[20]  P L Roberson,et al.  Impact of ultrasound and computed tomography prostate volume registration on evaluation of permanent prostate implants. , 1997, International journal of radiation oncology, biology, physics.

[21]  Dimitris N. Metaxas,et al.  A deformable finite element model of the breast for predicting mechanical deformations under external perturbations. , 2001, Academic radiology.

[22]  Jeffrey C. Lagarias,et al.  Convergence Properties of the Nelder-Mead Simplex Method in Low Dimensions , 1998, SIAM J. Optim..

[23]  S. Cowin,et al.  Biomechanics: Mechanical Properties of Living Tissues, 2nd ed. , 1994 .

[24]  Gábor Székely,et al.  Multiscale Medial Loci and Their Properties , 2003, International Journal of Computer Vision.

[25]  Robert Schneiders,et al.  Quadrilateral and Hexahedral Element Meshes , 2002 .

[26]  Sarang Joshi,et al.  Large deformation three-dimensional image registration in image-guided radiation therapy , 2005, Physics in medicine and biology.

[27]  Christos Davatzikos,et al.  Nonlinear elastic registration of brain images with tumor pathology using a biomechanical model [MRI] , 1999, IEEE Transactions on Medical Imaging.

[28]  Paul A. Yushkevich,et al.  Deformable M-Reps for 3D Medical Image Segmentation , 2003, International Journal of Computer Vision.

[29]  Y. Fung,et al.  Biomechanics: Mechanical Properties of Living Tissues , 1981 .

[30]  Hervé Delingette,et al.  Robust nonrigid registration to capture brain shift from intraoperative MRI , 2005, IEEE Transactions on Medical Imaging.

[31]  K. Brock,et al.  Accuracy of finite element model-based multi-organ deformable image registration. , 2005, Medical physics.

[32]  K. Rohr,et al.  Biomechanical modeling of the human head for physically based, nonrigid image registration , 1999, IEEE Transactions on Medical Imaging.

[33]  Nobuhiko Hata,et al.  Quantitative MR imaging assessment of prostate gland deformation before and during MR imaging-guided brachytherapy. , 2002, Academic radiology.

[34]  Paul A. Yushkevich,et al.  Multiscale deformable model segmentation and statistical shape analysis using medial descriptions , 2002, IEEE Transactions on Medical Imaging.

[35]  Y Payan,et al.  The mesh-matching algorithm: an automatic 3D mesh generator for finite element structures. , 2000, Journal of biomechanics.

[36]  M van Herk,et al.  Quantification of organ motion during conformal radiotherapy of the prostate by three dimensional image registration. , 1995, International journal of radiation oncology, biology, physics.

[37]  Andrew Thall,et al.  A method and software for segmentation of anatomic object ensembles by deformable m-reps. , 2005, Medical physics.