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Adaptive Nonlinear Finite Elements for Deformable Body Simulation Using Dynamic Progressive Meshes
Author(s) -
Wu Xunlei,
Downes Michael S.,
Goktekin Tolga,
Tendick Frank
Publication year - 2001
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/1467-8659.00527
Subject(s) - polygon mesh , finite element method , computer science , computation , nonlinear system , diagonal , mass matrix , mesh generation , computational science , algorithm , mathematics , computer graphics (images) , geometry , structural engineering , engineering , physics , quantum mechanics , neutrino , nuclear physics
Realistic behavior of deformable objects is essential for many applications such as simulation for surgical training. Existing techniques of deformable modeling for real time simulation have either used approximate methods that are not physically accurate or linear methods that do not produce reasonable global behavior. Nonlinear finite element methods (FEM) are globally accurate, but conventional FEM is not real time. In this paper, we apply nonlinear FEM using mass lumping to produce a diagonal mass matrix that allows real time computation. Adaptive meshing is necessary to provide sufficient detail where required while minimizing unnecessary computation. We propose a scheme for mesh adaptation based on an extension of the progressive mesh concept, which we call dynamic progressive meshes.