A Semi-Lagrangian Closest Point Method for Deforming Surfaces
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Date
2013
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Publisher
The Eurographics Association and Blackwell Publishing Ltd.
Abstract
We present an Eulerian method for the real-time simulation of intrinsic fluid dynamics effects on deforming surfaces. Our method is based on a novel semi-Lagrangian closest point method for the solution of partial differential equations on animated triangle meshes.We describe this method and demonstrate its use to com- pute and visualize flow and wave propagation along such meshes at high resolution and speed. Underlying our technique is the efficient conversion of an animated triangle mesh into a time-dependent implicit repre- sentation based on closest surface points. The proposed technique is unconditionally stable with respect to the surface deformation and, in contrast to comparable Lagrangian techniques, its precision does not depend on the level of detail of the surface triangulation.
Description
@article{10.1111:cgf.12228,
journal = {Computer Graphics Forum},
title = {{A Semi-Lagrangian Closest Point Method for Deforming Surfaces}},
author = {Auer, Stefan and Westermann, Rüdiger},
year = {2013},
publisher = {The Eurographics Association and Blackwell Publishing Ltd.},
ISSN = {1467-8659},
DOI = {10.1111/cgf.12228}
}