Deformation of Soft Tissue and Force Feedback Using the Smoothed Particle Hydrodynamics

We study the deformation and haptic feedback of soft tissue in virtual surgery based on a liver model by using a force feedback device named PHANTOM OMNI developed by SensAble Company in USA. Although a significant amount of research efforts have been dedicated to simulating the behaviors of soft tissue and implementing force feedback, it is still a challenging problem. This paper introduces a kind of meshfree method for deformation simulation of soft tissue and force computation based on viscoelastic mechanical model and smoothed particle hydrodynamics (SPH). Firstly, viscoelastic model can present the mechanical characteristics of soft tissue which greatly promotes the realism. Secondly, SPH has features of meshless technique and self-adaption, which supply higher precision than methods based on meshes for force feedback computation. Finally, a SPH method based on dynamic interaction area is proposed to improve the real time performance of simulation. The results reveal that SPH methodology is suitable for simulating soft tissue deformation and force feedback calculation, and SPH based on dynamic local interaction area has a higher computational efficiency significantly compared with usual SPH. Our algorithm has a bright prospect in the area of virtual surgery.

[1]  Suvranu De,et al.  The point collocation-based method of finite spheres (PCMFS) for real time surgery simulation , 2005 .

[2]  L. Lucy.  A numerical approach to the testing of the fission hypothesis. , 1977 .

[3]  Fangyuan Ding.  Rapid Cloth Collision Detection using Bounding Sphere Trees , 2013 .

[4]  Liu Xue-me.  Force Feedback Based on Mass-spring Volume Model and Improved Euler Algorithm , 2013 .

[5]  R W Webster,et al.  A prototype haptic suturing simulator. , 2001, Studies in health technology and informatics.

[6]  Ting Xu,et al.  Research and Application of K-DOPS Algorithm in Virtual Maintenance Training System for Diesel Engine , 2013 .

[7]  Mark A. Ganter,et al.  Real-time finite element modeling for surgery simulation: an application to virtual suturing , 2004, IEEE Transactions on Visualization and Computer Graphics.

[8]  J. Monaghan.  Smoothed particle hydrodynamics , 2005 .

[9]  Megumi Nakao.  Cardiac surgery simulation with active interaction and adaptive physics-based modeling , 2003 .

[10]  J. Monaghan,et al.  A refined particle method for astrophysical problems , 1985 .

[11]  Numerical simulation of droplet impacting liquid surface by SPH , 2011 .

[12]  Xing Zheng,et al.  A new scheme for identifying free surface particles in improved SPH , 2012 .

[13]  Dinesh Manocha,et al.  OBBTree: a hierarchical structure for rapid interference detection , 1996, SIGGRAPH.

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

[15]  Moubin Liu,et al.  Numerical modeling of oil spill containment by boom using SPH , 2013 .

[16]  M. Teschner,et al.  Meshless deformations based on shape matching , 2005, SIGGRAPH 2005.

[17]  Furen Ming,et al.  A robust shell element in meshfree SPH method , 2013 .

[18]  Ryutaro Himeno,et al.  Simulations of Needle Insertion by Using a Eulerian Hydrocode FEM and the Experimental Validations , 2008, MICCAI.

[19]  Joris S. M. Vergeest,et al.  A discrete mechanics model for deformable bodies , 2002, Comput. Aided Des..

[20]  Mohd Azlishah Othman,et al.  Distance computation using axis aligned bounding box (AABB) parallel distribution of dynamic origin point , 2013, 2013 Annual International Conference on Emerging Research Areas and 2013 International Conference on Microelectronics, Communications and Renewable Energy.

[21]  Jianmin Zheng,et al.  Collision Detection Using Axis Aligned Bounding Boxes , 2014 .

[22]  Tao Wang,et al.  Geometric modeling and collision detection based on hybrid bounding box in virtual gallbladder surgery , 2013, 2013 ICME International Conference on Complex Medical Engineering.

[23]  Guirong Liu,et al.  Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments , 2010 .

[24]  Robert D. Howe,et al.  Mass-Spring Model for Simulation of Heart Valve Tissue Mechanical Behavior , 2011, Annals of Biomedical Engineering.

[25]  Xue Jing Ding,et al.  Research on Collision Detection Algorithm Based on OBB , 2013 .

[26]  Pan Xin-hua.  Soft-tissue Finite Elements Deformation Model Based on OpenHaptic , 2012 .

[27]  R. G. Owens,et al.  A numerical study of the SPH method for simulating transient viscoelastic free surface flows , 2006 .

[28]  Shahin Sirouspour,et al.  GPU-based acceleration of computations in nonlinear finite element deformation analysis. , 2014, International journal for numerical methods in biomedical engineering.

[29]  Dragan Marinkovic,et al.  Finite element formulations for effective computations of geometrically nonlinear deformations , 2012, Adv. Eng. Softw..