Patch green coordinates based interactive embedded deformable model

Virtual surgery is a serious game which provides an opportunity to acquire cognitive and technical surgical skills via virtual surgical training and planning. However, interactively and realistically manipulating the human organ and simulating its motion under interaction is still a challenging task in this field. The underlying reason for this issue is the conflict requirements for physical constraints with high fidelity and real-time performance. To achieve realistic simulation of human organ motion with volume conservation, smooth interpolation under large deformation and precise frictional contact mechanics of global behavior in surgical scenario. This paper presents a novel and effective patch Green coordinates based interpolation for embedded deformable model to achieve the volume-preserving and smooth interpolation effects. Besides, we resolve the frictional contact mechanics for embedded deformable model, and further provide the precise boundary conditions for mechanical solver. In addition, our embedded deformable model is based on the total lagrangian explicit dynamics (TLED) finite element method (FEM) solver, which can well handle the large biological tissue deformation with both nonlinear geometric and material properties. In real compression experiments, our method can achieve liver deformation with average accuracy of 3.02 mm. Besides, the experimental results demonstrate that our method can also achieve smoother interpolation and volume-preserving effects than original embedded deformable model, and allows complex and accurate organ motion with mechanical interactions in virtual surgery.

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

[2]  Tien-Tsin Wong,et al.  Multiresolution Isosurface Extraction with Adaptive Skeleton Climbing , 1998, Comput. Graph. Forum.

[3]  Huamin Wang,et al.  A unified approach for subspace simulation of deformable bodies in multiple domains , 2015, ACM Trans. Graph..

[4]  A. Kheddar,et al.  Interactive haptics for virtual prototyping of deformable objects : snap-in tasks case , 2003 .

[5]  M. Otaduy,et al.  Capture and modeling of non-linear heterogeneous soft tissue , 2009, ACM Trans. Graph..

[6]  K. Bathe.  Finite Element Procedures , 1995 .

[7]  Stephane Cotin,et al.  Modeling and Real-Time Simulation of a Vascularized Liver Tissue , 2012, MICCAI.

[8]  B. Maury,et al.  A PENALTY METHOD FOR THE SIMULATION OF FLUID - RIGID BODY INTERACTION , 2005 .

[9]  Pheng-Ann Heng,et al.  A Serious Game for Learning Ultrasound-Guided Needle Placement Skills , 2012, IEEE Transactions on Information Technology in Biomedicine.

[10]  Iker Aguinaga,et al.  Cubical Mass-Spring Model Design Based on a Tensile Deformation Test and Nonlinear Material Model , 2012, IEEE Transactions on Visualization and Computer Graphics.

[11]  Yohan Payan,et al.  Animating Shapes at Arbitrary Resolution with Non-Uniform Stiffness , 2006, VRIPHYS.

[12]  Chenfanfu Jiang,et al.  An adaptive virtual node algorithm with robust mesh cutting , 2014, SCA '14.

[13]  Pheng-Ann Heng,et al.  Morphology-preserving smoothing on polygonized isosurfaces of inhomogeneous binary volumes , 2015, Comput. Aided Des..

[14]  DuriezChristian,et al.  Realistic Haptic Rendering of Interacting Deformable Objects in Virtual Environments , 2006 .

[15]  Jernej Barbic,et al.  Six-DoF Haptic Rendering of Contact Between Geometrically Complex Reduced Deformable Models , 2008, IEEE Transactions on Haptics.

[16]  Jernej Barbic,et al.  Six-DoF haptic rendering of contact between geometrically complex reduced deformable models: Haptic demo , 2009, World Haptics 2009 - Third Joint EuroHaptics conference and Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems.

[17]  Tao Ju,et al.  Mean value coordinates for closed triangular meshes , 2005, ACM Trans. Graph..

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

[19]  Markus H. Gross,et al.  Shape modeling with point-sampled geometry , 2003, ACM Trans. Graph..

[20]  Günther Greiner,et al.  Fast volumetric deformation on general purpose hardware , 2001, HWWS '01.

[21]  Mingui Sun,et al.  An energy-based free boundary asynchronous diffusion model for 3D warping of tissue dynamics , 2014 .

[22]  Nazim Haouchine,et al.  Patient-Specific Biomechanical Modeling for Guidance During Minimally-Invasive Hepatic Surgery , 2015, Annals of Biomedical Engineering.

[23]  Stephane Cotin,et al.  Contact Model for Haptic Medical Simulations , 2008, ISBMS.

[24]  Christian Duriez,et al.  Realistic haptic rendering of interacting deformable objects in virtual environments , 2008, IEEE Transactions on Visualization and Computer Graphics.

[25]  Eftychios Sifakis,et al.  Steklov-Poincaré skinning , 2014, SCA '14.

[26]  K. Miller,et al.  Total Lagrangian explicit dynamics finite element algorithm for computing soft tissue deformation , 2006 .

[27]  C Baur,et al.  VIRGY: a virtual reality and force feedback based endoscopic surgery simulator. , 1998, Studies in health technology and informatics.

[28]  Wojciech Matusik,et al.  Capture and modeling of non-linear heterogeneous soft tissue , 2009, ACM Trans. Graph..

[29]  G. Szekely,et al.  Soft tissue deformation. , 2001, Medical image analysis.

[30]  Yann Savoye,et al.  Compact stokes coordinates for cage-based shapes , 2016, I3D.

[31]  Daniel Cohen-Or,et al.  Green Coordinates , 2008, ACM Trans. Graph..