Soft Tissue Deformation with Neural Dynamics for Surgery Simulation

Soft tissue deformation is of great importance to virtual-reality-based-surgery simulation. This paper presents a new neural-dynamics-based methodology for simulation of soft tissue deformation from the perspective of energy propagation. A novel neural network is established to propagate the energy generated by an external force among mass points of a soft tissue. The stability of the proposed neural network system is proved by using the Lyapunov stability theory. A potential-based method is presented to derive the internal forces from the natural energy distribution established by the neural dynamics. Integration with a haptic device has been achieved for interactive deformation simulation with force feedback. The proposed methodology not only accommodates isotropic, anisotropic and inhomogeneous materials by simple modification of the control coefficients, but it also accepts large-range deformations.

[1]  Mariano Alcañiz Raya,et al.  Real-time deformable models for surgery simulation: a survey , 2005, Comput. Methods Programs Biomed..

[2]  Robert Michael Kirby,et al.  Parallel Scientific Computing in C++ and MPI - A Seamless Approach to Parallel Algorithms and their Implementation , 2003 .

[3]  Hervé Delingette,et al.  Non-linear anisotropic elasticity for real-time surgery simulation , 2003, Graph. Model..

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

[5]  Weeratunge Malalasekera,et al.  An introduction to computational fluid dynamics - the finite volume method , 2007 .

[6]  Mariano Alcañiz Raya,et al.  A new approach for the real-time simulation of tissue deformations in surgery simulation , 2001, Comput. Methods Programs Biomed..

[7]  Hervé Delingette,et al.  Improving realism of a surgery simulator: linear anisotropic elasticity, complex interactions and force extrapolation , 2002, Comput. Animat. Virtual Worlds.

[8]  Stephane Cotin,et al.  A hybrid elastic model for real-time cutting, deformations, and force feedback for surgery training and simulation , 2000, The Visual Computer.

[9]  Robert M. Kirby,et al.  Parallel Scientific Computing in C++ and MPI , 2003 .

[10]  Doug L. James,et al.  Real-Time subspace integration for St. Venant-Kirchhoff deformable models , 2005, SIGGRAPH 2005.

[11]  Yu Zhang,et al.  A new physical model with multilayer architecture for facial expression animation using dynamic adaptive mesh , 2004, IEEE Transactions on Visualization and Computer Graphics.

[12]  Jian J. Zhang,et al.  An Efficient modelling and simulation of soft tissue deformation using mass-spring systems , 2003, CARS.

[13]  Denis Laurendeau,et al.  Modelling liver tissue properties using a non-linear visco-elastic model for surgery simulation , 2005, Medical Image Anal..

[14]  Ole Jakob Elle,et al.  Realism in surgical simulators with free-form geometric modeling , 2001, CARS.

[15]  Dinesh K. Pai,et al.  ArtDefo: accurate real time deformable objects , 1999, SIGGRAPH.

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

[17]  Rudolf Kruse,et al.  Using recurrent neuro-fuzzy techniques for the identification and simulation of dynamic systems , 2001, Neurocomputing.

[18]  Kup-Sze Choi,et al.  Interactive deformation of soft tissues with haptic feedback for medical learning , 2003, IEEE Transactions on Information Technology in Biomedicine.

[19]  J J Hopfield,et al.  Neurons with graded response have collective computational properties like those of two-state neurons. , 1984, Proceedings of the National Academy of Sciences of the United States of America.

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

[22]  Mathieu Desbrun,et al.  Animation of Deformable Models Using Implicit Surfaces , 1997, IEEE Trans. Vis. Comput. Graph..

[23]  John C. Platt,et al.  Elastically deformable models , 1987, SIGGRAPH.

[24]  R. Kenedi,et al.  REVIEW ARTICLE: Tissue mechanics , 1975 .

[25]  Cagatay Basdogan,et al.  Haptics in minimally invasive surgical simulation and training , 2004, IEEE Computer Graphics and Applications.