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Mesh‐free deformations
Author(s) -
Chang Jian,
Zhang Jian J.
Publication year - 2004
Publication title -
computer animation and virtual worlds
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.225
H-Index - 49
eISSN - 1546-427X
pISSN - 1546-4261
DOI - 10.1002/cav.23
Subject(s) - computer science , finite element method , process (computing) , simple (philosophy) , deformation (meteorology) , object (grammar) , spring (device) , algorithm , computational science , mechanical engineering , artificial intelligence , structural engineering , geology , oceanography , philosophy , epistemology , engineering , operating system
Existing physically based deformation techniques, such as the finite element method (FEM) and the mass‐spring systems (MSS), require the deformed object to be properly meshed. This is arguably the most expensive manual intervention process. In this paper, we propose a mesh‐free deformation technique where only unconnected points are involved. The idea is to develop an approximate analytical solution using the Kelvin solution. Due to the fact that no mesh is involved, deforming a complex shape is as straightforward as deforming a simple one. Furthermore, the trade‐off between efficiency and accuracy is easy to achieve by redistributing the points concerned. Experiments show that this method is fast and offers similar accuracy to the FEM. Copyright © 2004 John Wiley & Sons, Ltd.