A Shell Model for Real-Time Simulation of Intra-ocular Implant Deployment

With 30 million interventions a year worldwide, cataract surgery is one of the most frequently performed procedures. Yet, no tool currently allows teaching all steps of the procedure without putting patients at risk. A particularly challenging stage of this surgery deals with the injection and deployment of the intra-ocular lens implant. In this paper we propose to rely on shell theory to accurately describe the complex deformations of the implant. Our approach extends the co-rotational method used in finite element analysis of in-plane deformations to incorporate a bending energy. This results in a relatively simple and computationally efficient approach which was applied to the simulation of the lens deployment. This simulation also accounts for the complex contacts that take place during the injection phase.

[1]  Robert D. Howe,et al.  Image-based mass-spring model of mitral valve closure for surgical planning , 2008, SPIE Medical Imaging.

[2]  Hyeong-Seok Ko,et al.  Real‐Time Simulation of Thin Shells , 2007, Comput. Graph. Forum.

[3]  Xu Zhongnian A simple and efficient triangular finite element for plate bending , 1986 .

[4]  Markus H. Gross,et al.  Efficient Animation of Point‐Sampled Thin Shells , 2005, Comput. Graph. Forum.

[5]  Ugur Güdükbay,et al.  Physically-based Simulation of Hair Strips in Real-Time , 2005, WSCG.

[6]  H. Bleuler,et al.  A Computer-Based Real-Time Simulation of Interventional Radiology , 2007, 2007 29th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[7]  Ronald Fedkiw,et al.  Simulation of clothing with folds and wrinkles , 2003, SCA '03.

[8]  Markus H. Gross,et al.  Interactive Virtual Materials , 2004, Graphics Interface.

[9]  J. S. Przemieniecki Theory of matrix structural analysis , 1985 .

[10]  Mathieu Desbrun,et al.  Discrete shells , 2003, SCA '03.

[11]  Peter Szurman,et al.  Virtual reality training improves wet-lab performance of capsulorhexis: results of a randomized, controlled study , 2009, Graefe's Archive for Clinical and Experimental Ophthalmology.

[12]  Haiyan Yu,et al.  An Improved Mass-Spring Model to Simulate Draping Cloth , 2008, 2008 International Conference on Intelligent Computation Technology and Automation (ICICTA).

[13]  Wolfgang Straßer,et al.  A consistent bending model for cloth simulation with corotational subdivision finite elements , 2006 .

[14]  Stephane Cotin,et al.  EP4A: Software and Computer Based Simulator Research: Development and Outlook SOFA—An Open Source Framework for Medical Simulation , 2007, MMVR.

[15]  Guirong Liu,et al.  Fundamentals for finite element method , 2003 .

[16]  Xavier Provot,et al.  Deformation Constraints in a Mass-Spring Model to Describe Rigid Cloth Behavior , 1995 .

[17]  Christian Duriez,et al.  Efficient Contact Modeling using Compliance Warping , 2008, CGI 2008.