Fast polar decomposition of an arbitrary matrix
SIAM Journal on Scientific and Statistical Computing
Large steps in cloth simulation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
A Fast Finite Element Solution for Cloth Modelling
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Mesh-free deformations: Research Articles
Computer Animation and Virtual Worlds - Special Issue: The Very Best Papers from CASA 2004
Meshless animation of fracturing solids
ACM SIGGRAPH 2005 Papers
Meshless Thin-Shell Simulation Based on Global Conformal Parameterization
IEEE Transactions on Visualization and Computer Graphics
A consistent bending model for cloth simulation with corotational subdivision finite elements
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
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A systematic description of a novel physically-based virtual cloth simulation method using meshless models is carried out in this paper. This method is based upon continuum mechanics and discretized without explicit connections between nodes. The mechanical behavior of this cloth model is consistent and is independent of the resolution. Kirchhoff-Love (KL) thin shell theory is used as the basis of the cloth model. Approaches to the parametrization and boundary sewing problems are presented to suit with meshless models. Furthermore, a co-rotational method is proposed in order to take care of large deformation problems. As for the collision solution, a new shape-function-based collision detection method is developed for meshless parameterized surfaces. The experimental results show that our cloth simulation model based upon meshless methods can produce natural and realistic results.