An improved realistic mass-spring model for surgery simulation

An improved realistic mass-spring model, which is mainly based on the 3D finite strain nonlinear anisotropic elasticity theory, is presented for virtual reality based surgery simulation. Compared with the conversional mass-spring model, the proposed model is able to describe typical behaviors of living tissues such as incompressibility, nonlinearity and anisotropy. The nonlinear viscoelasticity is also incorporated into the soft tissue model by employing a numerical scheme. In terms of implementation, the model proposed can be seen as a mixture of finite-element and mass-spring models, which enables it to still maintain the advantage of mass-spring model, such as simple architectures, low memory usage and fast computation. An example to use this model to simulate human kidney is given to demonstrate its capability of describing the typical behaviors of soft tissue.

[1]  Hervé Delingette,et al.  Triangular Springs for Modeling Nonlinear Membranes , 2008, IEEE Transactions on Visualization and Computer Graphics.

[2]  Paul Suetens,et al.  Predicting soft tissue deformations for a maxillofacial surgery planning system: From computational strategies to a complete clinical validation , 2007, Medical Image Anal..

[3]  Morten Bro-Nielsen,et al.  Real‐time Volumetric Deformable Models for Surgery Simulation using Finite Elements and Condensation , 1996, Comput. Graph. Forum.

[4]  Marie-Paule Cani,et al.  Controlling Anisotropy in Mass-Spring Systems , 2000, Computer Animation and Simulation.

[5]  Wang Boliang Research Progress on Simulation of Deformable Objects Using Finite Elements Model , 2007 .

[6]  Denis Laurendeau,et al.  Modelling liver tissue properties using a non-linear viscoelastic model for surgery simulation , 2002 .

[7]  Demetri Terzopoulos,et al.  Physically-based facial modelling, analysis, and animation , 1990, Comput. Animat. Virtual Worlds.

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

[9]  A.J.M. Spencer,et al.  Theory of invariants , 1971 .

[10]  Brad Lee Boyce,et al.  Modeling the anisotropic finite-deformation viscoelastic behavior of soft fiber-reinforced composites , 2007 .

[11]  Stefan Wesarg,et al.  VR-Based Simulators for Training in Minimally Invasive Surgery , 2007, IEEE Computer Graphics and Applications.

[12]  Alessandro Nava,et al.  In vivo mechanical characterization of human liver , 2008, Medical Image Anal..

[13]  Gábor Székely,et al.  Identification of Spring Parameters for Deformable Object Simulation , 2007, IEEE Transactions on Visualization and Computer Graphics.

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

[15]  Matthias Müller,et al.  A versatile and robust model for geometrically complex deformable solids , 2004, Proceedings Computer Graphics International, 2004..