A Unified Analysis of Penalty-Based Collision Energies

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dc.contributor.authorShi, Alvinen_US
dc.contributor.authorKim, Theodoreen_US
dc.contributor.editorWang, Huaminen_US
dc.contributor.editorYe, Yutingen_US
dc.contributor.editorVictor Zordanen_US
dc.date.accessioned2023-10-16T12:33:27Z
dc.date.available2023-10-16T12:33:27Z
dc.date.issued2023
dc.description.abstractWe analyze a wide class of penalty energies used for contact response through the lens of a reduced frame. Applying our analysis to both spring-based and barrier-based energies, we show that we can obtain closedform, analytic eigensystems that can be used to guarantee positive semidefiniteness in implicit solvers. Our approach is both faster than direct numerical methods, and more robust than approximate methods such as Gauss-Newton. Over the course of our analysis, we investigate physical interpretations for two separate notions of length. Finally, we showcase the stability of our analysis on challenging strand, cloth, and volume scenarios with large timesteps on the order of 1/40 s.en_US
dc.description.number3
dc.description.sectionheadersDeformation and Physics I
dc.description.seriesinformationProceedings of the ACM on Computer Graphics and Interactive Techniques
dc.description.volume6
dc.identifier.doi10.1145/3606934
dc.identifier.issn2577-6193
dc.identifier.urihttps://doi.org/10.1145/3606934
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1145/3606934
dc.publisherACM Association for Computing Machineryen_US
dc.subjectCCS Concepts: Computing methodologies -> Physical simulation Collisions, Penalty Energies, Barrier Functions"
dc.subjectComputing methodologies
dc.subjectPhysical simulation Collisions
dc.subjectPenalty Energies
dc.subjectBarrier Functions"
dc.titleA Unified Analysis of Penalty-Based Collision Energiesen_US
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SCA 2023: Eurographics/SIGGRAPH Symposium on Computer Animation