Soft Tissue Simulation Based on Measured Data

Using methods from the computational sciences to improve the quality of health care is an important part of current medical progress. A particulary complex field is surgery simulation, where the fidelity of the systems is still unsatisfactory. We present a finite element system based on a sophisticated material law, better suited for dynamical computations than the standard approaches. To balance computational cost, a hierarchical basis is employed, allowing detail where needed. For time integration the use of a stabilized Runge-Kutta method is proposed.

[1]  Einar Kjartansson,et al.  Constant Q-wave propagation and attenuation , 1979 .

[2]  Thomas W. Sederberg,et al.  Free-form deformation of solid geometric models , 1986, SIGGRAPH.

[3]  E. Hairer,et al.  Solving Ordinary Differential Equations I , 1987 .

[4]  Harry Yserentant,et al.  Hierarchical bases , 1992 .

[5]  Randolph E. Bank,et al.  Hierarchical bases and the finite element method , 1996, Acta Numerica.

[6]  William M. Wells,et al.  Medical Image Computing and Computer-Assisted Intervention — MICCAI’98 , 1998, Lecture Notes in Computer Science.

[7]  M. Bro-Nielsen,et al.  Finite element modeling in surgery simulation , 1998, Proc. IEEE.

[8]  Andrew P. Witkin,et al.  Large steps in cloth simulation , 1998, SIGGRAPH.

[9]  Gábor Székely,et al.  Modeling of Soft Tissue Deformation for Laparoscopic Surgery Simulation , 1998, MICCAI.

[10]  Allen Van Gelder,et al.  Approximate Simulation of Elastic Membranes by Triangulated Spring Meshes , 1998, J. Graphics, GPU, & Game Tools.

[11]  H. Maas,et al.  Noninvasive measurement of elastic properties of living tissue , 1999, 1999 European Control Conference (ECC).

[12]  S. F. Frisken-Gibson Using linked volumes to model object collisions, deformation, cutting, carving, and joining , 1999 .

[13]  Branislav Jaramaz,et al.  Medical Image Computing and Computer-Assisted Intervention – MICCAI 2000 , 2000, Lecture Notes in Computer Science.

[14]  Teodor M. Atanackovic,et al.  Theory of elasticity for scientists and engineers , 2000 .

[15]  Hervé Delingette,et al.  Real-Time Large Displacement Elasticity for Surgery Simulation: Non-linear Tensor-Mass Model , 2000, MICCAI.

[16]  R. Sinkus,et al.  High-resolution tensor MR elastography for breast tumour detection. , 2000, Physics in medicine and biology.

[17]  Gábor Székely,et al.  Modelling of soft tissue deformation for laparoscopic surgery simulation , 2000, Medical Image Anal..

[18]  Assyr Abdulle,et al.  Second order Chebyshev methods based on orthogonal polynomials , 2001, Numerische Mathematik.

[19]  Olaf Etzmuß,et al.  A High Performance Solver for the Animation of Deformable Objects using Advanced Numerical Methods , 2001, Comput. Graph. Forum.

[20]  Mathieu Desbrun,et al.  Dynamic real-time deformations using space & time adaptive sampling , 2001, SIGGRAPH.

[21]  Hervé Delingette,et al.  Nonlinear and anisotropic elastic soft tissue models for medical simulation , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[22]  Steve Capell,et al.  Interactive skeleton-driven dynamic deformations , 2002, ACM Trans. Graph..

[23]  Z. Popovic,et al.  Interactive skeleton-driven dynamic deformations , 2002, ACM Trans. Graph..

[24]  Terry M. Peters,et al.  Medical Image Computing and Computer-Assisted Intervention - MICCAI 2003 , 2003, Lecture Notes in Computer Science.

[25]  N. J. Avis,et al.  Determination of the Mechanical Properties of Soft Human Tissues through Aspiration Experiments , 2003, MICCAI.

[26]  Wolfgang Straßer,et al.  Interactive physically based solid dynamics , 2003, SCA '03.

[27]  G. Buess,et al.  Independent testing of soft tissue visco-elasticity using indentation and rotary shear deformations. , 2003, Studies in health technology and informatics.

[28]  Demetri Terzopoulos,et al.  Deformable models , 2000, The Visual Computer.