Heuristic convergence rate improvements of the projected Gauss-Seidel method for frictional contact problems

Morten Poulsen, Sarah Maria Niebe Abel, Kenny Erleben

6 Citations (Scopus)

Abstract

In interactive physical simulation, contact forces are applied
to prevent rigid bodies from penetrating and control
slipping between bodies. Accurate contact force
determination is a computationally hard problem. Thus,
in practice one trades accuracy for performance. The
result is visual artifacts such as viscous or damped contact
response. In this paper, we present heuristics for
improving performance for solving contact force problems
in interactive rigid body simulation. We formulate
the contact force problem as a nonlinear complementarity
problem, and discretize the problem using a splitting
method and a minimum map reformulation. The resulting
model is called the Projected Gauss–Seidel method.
Quantitative research results are presented and can be
used as a taxonomy for selecting a suitable heuristic
when using the Projected Gauss–Seidel method.
Original languageEnglish
Title of host publicationWSCG 2010 : full papers proceedings
EditorsVaclav Skala
Number of pages8
PublisherVaclav Skala - Union Agency
Publication date2010
Pages135-142
ISBN (Print)978-80-86943-88-6
Publication statusPublished - 2010
Event18th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision - University of West Bohemia, Plzen, Czech Republic
Duration: 1 Feb 20104 Feb 2010
Conference number: 18

Conference

Conference18th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision
Number18
LocationUniversity of West Bohemia
Country/TerritoryCzech Republic
CityPlzen
Period01/02/201004/02/2010

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