dc.contributor.author Silcowitz, Morten en_US dc.contributor.author Niebe, Sarah en_US dc.contributor.author Erleben, Kenny en_US dc.contributor.editor Hartmut Prautzsch and Alfred Schmitt and Jan Bender and Matthias Teschner en_US dc.date.accessioned 2014-02-01T07:09:51Z dc.date.available 2014-02-01T07:09:51Z dc.date.issued 2009 en_US dc.identifier.isbn 978-3-905673-73-9 en_US dc.identifier.uri http://dx.doi.org/10.2312/PE/vriphys/vriphys09/105-114 en_US dc.description.abstract In interactive physical simulation, contact forces are applied to prevent rigid bodies from penetrating each other. 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 a new approach to contact force determination. We reformulate the contact force problem as a nonlinear root search problem, using a Fischer function. We solve this problem using a generalized Newton method. Our new Fischer - Newton method shows improved qualities for specific configurations where the most widespread alternative, the Projected Gauss-Seidel method, fails. Experiments show superior convergence properties of the exact Fischer - Newton method. en_US dc.publisher The Eurographics Association en_US dc.subject Categories and Subject Descriptors (according to ACM CCS): I.3.5 [Computer Graphics]: Physically based modeling I.3.7 [Computer Graphics]: Animation G.1.6 [Mathematics of Computing ]: Nonlinear programming Keywords: Contact Force Problem, Complementarity Formulation, Newton Method, Fischer Function en_US dc.title Nonsmooth Newton Method for Fischer Function Reformulation of Contact Force Problems for Interactive Rigid Body Simulation en_US dc.description.seriesinformation Workshop in Virtual Reality Interactions and Physical Simulation "VRIPHYS" (2009) en_US
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