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Authors: Morten Silcowitz ; Sarah Niebe and Kenny Erleben

Affiliation: University of Copenhagen, Denmark

Keyword(s): Contact force problem, Complementarity formulation, Projected Gauss–Seidel, Subspace minimization.

Related Ontology Subjects/Areas/Topics: Computer Vision, Visualization and Computer Graphics ; Fundamental Methods and Algorithms ; Geometry and Modeling ; Modeling and Algorithms ; Physics-Based Modeling

Abstract: In interactive physical simulation, contact forces are applied to prevent rigid bodies from penetrating and to control slipping between bodies. Accurate contact force determination is a computationally hard problem. Thus, in practice one trades accuracy for performance. This results in visual artifacts such as viscous or damped contact response. In this paper, we present a new approach to contact force determination. We formulate the contact force problem as a nonlinear complementarity problem, and discretize the problem to derive the Projected Gauss–Seidel method. We combine the Projected Gauss–Seidel method with a subspace minimization method. Our new method shows improved qualities and superior convergence properties for specific configurations.

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Paper citation in several formats:
Silcowitz, M.; Niebe, S. and Erleben, K. (2010). PROJECTED GAUSS–SEIDEL SUBSPACE MINIMIZATION METHOD FOR INTERACTIVE RIGID BODY DYNAMICS - Improving Animation Quality using a Projected Gauss–Seidel Subspace Minimization Method. In Proceedings of the International Conference on Computer Graphics Theory and Applications (VISIGRAPP 2010) - GRAPP; ISBN 978-989-674-026-9; ISSN 2184-4321, SciTePress, pages 38-45. DOI: 10.5220/0002830700380045

@conference{grapp10,
author={Morten Silcowitz. and Sarah Niebe. and Kenny Erleben.},
title={PROJECTED GAUSS–SEIDEL SUBSPACE MINIMIZATION METHOD FOR INTERACTIVE RIGID BODY DYNAMICS - Improving Animation Quality using a Projected Gauss–Seidel Subspace Minimization Method},
booktitle={Proceedings of the International Conference on Computer Graphics Theory and Applications (VISIGRAPP 2010) - GRAPP},
year={2010},
pages={38-45},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002830700380045},
isbn={978-989-674-026-9},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the International Conference on Computer Graphics Theory and Applications (VISIGRAPP 2010) - GRAPP
TI - PROJECTED GAUSS–SEIDEL SUBSPACE MINIMIZATION METHOD FOR INTERACTIVE RIGID BODY DYNAMICS - Improving Animation Quality using a Projected Gauss–Seidel Subspace Minimization Method
SN - 978-989-674-026-9
IS - 2184-4321
AU - Silcowitz, M.
AU - Niebe, S.
AU - Erleben, K.
PY - 2010
SP - 38
EP - 45
DO - 10.5220/0002830700380045
PB - SciTePress