Projected Gauss-Seidel subspace minimization method for interactive rigid body dynamics: improving animation quality using a projected Gauss–Seidel subspace minimization method

Morten Silcowitz-Hansen; Sarah Maria Niebe Abel; Kenny Erleben

doi:10.5220/0002830700380045

Projected Gauss-Seidel subspace minimization method for interactive rigid body dynamics: improving animation quality using a projected Gauss–Seidel subspace minimization method

Morten Silcowitz-Hansen, Sarah Maria Niebe Abel, Kenny Erleben

Department of Computer Science

7 Citations (Scopus)

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.

Original language	English
Title of host publication	Proceedings of the International Conference on Computer Graphics Theory and Applications (GRAPP 2010)
Editors	Paul Richard, José Braz, Adrian Hilton
Number of pages	8
Volume	1
Publisher	SCITEPRESS Digital Library
Publication date	2010
Pages	38-45
ISBN (Electronic)	978-989-674-026-9
DOIs	https://doi.org/10.5220/0002830700380045
Publication status	Published - 2010
Event	International Conference on Computer Graphics Theory and Applications (GRAPP 2010) - Angers, France Duration: 17 May 2010 → 21 May 2010

Conference

Conference	International Conference on Computer Graphics Theory and Applications (GRAPP 2010)
Country/Territory	France
City	Angers
Period	17/05/2010 → 21/05/2010

Access to Document

10.5220/0002830700380045

Cite this

Silcowitz-Hansen, M., Abel, S. M. N., & 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 P. Richard, J. Braz, & A. Hilton (Eds.), Proceedings of the International Conference on Computer Graphics Theory and Applications (GRAPP 2010) (Vol. 1, pp. 38-45). SCITEPRESS Digital Library. https://doi.org/10.5220/0002830700380045

Projected Gauss-Seidel subspace minimization method for interactive rigid body dynamics : improving animation quality using a projected Gauss–Seidel subspace minimization method. / Silcowitz-Hansen, Morten; Abel, Sarah Maria Niebe; Erleben, Kenny.

Proceedings of the International Conference on Computer Graphics Theory and Applications (GRAPP 2010). ed. / Paul Richard; José Braz; Adrian Hilton. Vol. 1 SCITEPRESS Digital Library, 2010. p. 38-45.

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Silcowitz-Hansen, M, Abel, SMN & 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 P Richard, J Braz & A Hilton (eds), Proceedings of the International Conference on Computer Graphics Theory and Applications (GRAPP 2010). vol. 1, SCITEPRESS Digital Library, pp. 38-45, International Conference on Computer Graphics Theory and Applications (GRAPP 2010), Angers, France, 17/05/2010. https://doi.org/10.5220/0002830700380045

Silcowitz-Hansen M, Abel SMN, Erleben K. Projected Gauss-Seidel subspace minimization method for interactive rigid body dynamics: improving animation quality using a projected Gauss–Seidel subspace minimization method. In Richard P, Braz J, Hilton A, editors, Proceedings of the International Conference on Computer Graphics Theory and Applications (GRAPP 2010). Vol. 1. SCITEPRESS Digital Library. 2010. p. 38-45 doi: 10.5220/0002830700380045

Silcowitz-Hansen, Morten ; Abel, Sarah Maria Niebe ; Erleben, Kenny. / Projected Gauss-Seidel subspace minimization method for interactive rigid body dynamics : improving animation quality using a projected Gauss–Seidel subspace minimization method. Proceedings of the International Conference on Computer Graphics Theory and Applications (GRAPP 2010). editor / Paul Richard ; José Braz ; Adrian Hilton. Vol. 1 SCITEPRESS Digital Library, 2010. pp. 38-45

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