Rigid Body Contact Problems using Proximal Operators

dc.contributor.authorErleben, Kennyen_US
dc.contributor.editorBernhard Thomaszewski and KangKang Yin and Rahul Narainen_US
dc.date.accessioned2017-12-31T10:45:20Z
dc.date.available2017-12-31T10:45:20Z
dc.date.issued2017
dc.description.abstractIterative methods are popular for solving contact force problems in rigid body dynamics. They are loved for their robustness and surrounded by mystery as to whether they converge or not. We provide a mathematical foundation for iterative (PROX) schemes based on proximal operators. This is a class of iterative Jacobi and blocked Gauss-Seidel variants that theoretically proven always converge and provides a flexible plug and play framework for exploring di erent friction laws.We provide a portfolio of experience for choosing r -Factor strategies for such schemes and we analyze the distribution of convergence behaviors. Our results indicate the Gauss-Seidel variant is superior in terms of delivering predictable convergence behaviour and hence should be preferred over Jacobi variants. Our results also suggest that Global r -Factor strategies are better for structured stacking scenarios and can achieve absolute convergence in more cases.en_US
dc.description.sectionheadersPapers V: Rigid Bodies, Chains & Trees
dc.description.seriesinformationEurographics/ ACM SIGGRAPH Symposium on Computer Animation
dc.identifier.doi10.1145/3099564.3099575
dc.identifier.isbn978-1-4503-5091-4
dc.identifier.issn1727-5288
dc.identifier.pagesKenny Erleben-Computing methodologies Interactive simulation; Physical simulation; Contact Force Problems, Rigid Body Dynamics, Proximal Operators
dc.identifier.urihttps://doi.org/10.1145/3099564.3099575
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1145/3099564-3099575
dc.publisherACMen_US
dc.subjectComputing methodologies Interactive simulation
dc.subjectPhysical simulation
dc.subjectContact Force Problems
dc.subjectRigid Body Dynamics
dc.subjectProximal Operators
dc.titleRigid Body Contact Problems using Proximal Operatorsen_US
Files