Title
Underwater cloth simulation with fractional derivatives
Abstract
We introduce the use of fractional differentiation for simulating cloth deformations underwater. The proposed approach is able to achieve realistic underwater deformations without simulating the Eulerian body of water in which the cloth is immersed. Instead, we propose a particle-based cloth model where half-derivative viscoelastic elements are included for describing both the internal and external dynamics of the cloth. These elements model the cloth responses to fluid stresses and are also able to emulate the memory-laden behavior of particles in a viscous fluid. As a result, we obtain fractional clothes, which are able to correctly depict the dynamics of the immersed cloth interacting with the fluid even though the fluid is not simulated. The proposed approach produces realistic underwater cloth deformations and has obvious advantages in simplicity and speed of computation in comparison to volumetric fluid simulation approaches.
Year
DOI
Venue
2010
10.1145/1805964.1805967
ACM Trans. Graph.
Keywords
Field
DocType
realistic underwater cloth deformation,proposed approach,realistic underwater deformation,underwater cloth simulation,particle-based cloth model,fluid stress,cloth response,cloth simulation,fractional derivative,simulating cloth,physically-based animation,fractional derivatives,fluid simulation approach,underwater simulation,viscous fluid,elements model
Computer vision,Fractional differentiation,Physically based animation,Computational science,Artificial intelligence,Fractional calculus,Mathematics,Underwater
Journal
Volume
Issue
ISSN
29
3
0730-0301
Citations 
PageRank 
References 
8
0.72
14
Authors
6