Simulation of a mass-spring model for global deformation

This article addresses a largely open problem in haptic simulation and rendering: contact force and deformation modeling for haptic simulation of a discrete globe mass-spring model, especially for global deformation. The mass-spring system is composed of nodes connected with radially distributed springs. We tackle the problem using the theory of virtual work, and relations between the virtual force and nodal displacements are analyzed to obtain elastic deformations. The global deformation is controlled by the total nodal deformations based on a force equation at each node. The simulation results verify the efficiency of the contact force and deformation model with reasonable realism.

[1]  Kenji Nagase,et al.  Wave-based analysis and wave control of damped mass-spring systems , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[2]  Stuart M. Lee Dictionary of Composite Materials Technology , 1995 .

[3]  Aiguo Song,et al.  A quick physics-based deformation model and real-time force reflection algorithm , 2004, International Conference on Information Acquisition, 2004. Proceedings..

[4]  Daniel Thalmann,et al.  Real time muscle deformations using mass-spring systems , 1998, Proceedings. Computer Graphics International (Cat. No.98EX149).

[5]  Grigore C. Burdea,et al.  Haptics issues in virtual environments , 2000, Proceedings Computer Graphics International 2000.

[6]  Qi Luo,et al.  Contact and Deformation Modeling for Interactive Environments , 2007, IEEE Transactions on Robotics.

[7]  William V. Baxter,et al.  Haptic interaction for creative processes with simulated media , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[8]  Jing Yang,et al.  Antisense RNA of survivin gene inhibits the proliferation of leukemia cells and sensitizes leukemia cell line to taxol-induced apoptosis , 2008, Journal of Huazhong University of Science and Technology. Medical sciences = Hua zhong ke ji da xue xue bao. Yi xue Ying De wen ban = Huazhong keji daxue xuebao. Yixue Yingdewen ban.

[9]  Rafael Castro-Linares,et al.  Trajectory tracking for non-holonomic cars: A linear approach to controlled leader-follower formation , 2010, 49th IEEE Conference on Decision and Control (CDC).

[10]  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.

[11]  Kenneth E. Barner,et al.  A Displacement Driven Real-Time Deformable Model For Haptic Surgery Simulation , 2006, 2006 14th Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems.

[12]  David Roberts,et al.  A survey of modeling approaches for medical simulators , 2005 .

[13]  Alana Sherman,et al.  Design of bilateral teleoperation controllers for haptic exploration and telemanipulation of soft environments , 2002, IEEE Trans. Robotics Autom..

[14]  Li Jian-qing Research on Mass-spring Force/Deformation Modeling for Haptic Display , 2006 .

[15]  Kenneth E. Barner,et al.  A Displacement Driven Real-Time Deformable Model For Haptic Surgery Simulation , 2006 .