Interactive High-Resolution Boundary Surfaces for Deformable Bodies with Changing Topology
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Date
2011
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
Recent work has demonstrated that composite finite-elements provide an effective means for physically based modeling of deformable bodies. In this paper we present a number of highly effective improvements of previous work to allow for a high-performance and high-quality simulation of boundary surfaces of deformable bodies with changing topology, for instance, due to cuts and incisions. Starting at a coarse resolution simulation grid, along a cut we perform an adaptive octree refinement of this grid down to a desired resolution and iteratively pull the fine level finite-element equations to the coarse level. In this way, the fine level dynamics can be approximated with a small number of degrees of freedom at the coarse level. By embedding the hierarchical adaptive composite finite-element scheme into a geometric multigrid solver, and by exploiting the fact that during cutting only a small number of cells are modified in each time step, high update rates can be achieved for high resolution surfaces at very good approximation quality. To construct a high quality surface that is accurately aligned with a cut, we employ the dual-contouring approach on the fine resolution level, and we instantly bind the constructed triangle mesh to the coarse grid via geometric constrains.
Description
@inproceedings{:10.2312/PE/vriphys/vriphys11/029-038,
booktitle = {Workshop in Virtual Reality Interactions and Physical Simulation "VRIPHYS" (2011)},
editor = {Jan Bender and Kenny Erleben and Eric Galin},
title = {{Interactive High-Resolution Boundary Surfaces for Deformable Bodies with Changing Topology}},
author = {Wu, Jun and Dick, Christian and Westermann, Rüdiger},
year = {2011},
publisher = {The Eurographics Association},
ISBN = {978-3-905673-87-6},
DOI = {/10.2312/PE/vriphys/vriphys11/029-038}
}