Stability Analysis of Filtered Mass-Spring Systems

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dc.contributor.authorAhmad, Alexandreen_US
dc.contributor.authorAdly, Samiren_US
dc.contributor.authorTerraz, Olivieren_US
dc.contributor.authorGhazanfarpour, Djamchiden_US
dc.contributor.editorIk Soo Lim and David Duceen_US
dc.date.accessioned2014-01-31T19:58:08Z
dc.date.available2014-01-31T19:58:08Z
dc.date.issued2007en_US
dc.description.abstractMass-spring systems simulations rely on the numerical integration method used for solving the resulting ordinary differential equations. Implicit schemes, which solve such equations, are unconditionally stable and are thus widely used. Part of this stability is due to force filtering which is inherent to the implicit formulation and is referred to artificial damping. We extract this artificial damping and we analyse frequencies. This analysis enables us to define a non arbitrary damping value and a stability criterion in accordance to filtering. This directly comes from a decrease of velocity vectors eigenvalues resulting in an increase of the time step in the same proportion. Moreover we applied a simple filtering model reproducing artificial damping to explicit schemes and results reveal an increase of the time step. Implementation of this method is straightforward for existing physically based simulators. Applications to cloth and fish animations are presented.en_US
dc.description.seriesinformationTheory and Practice of Computer Graphicsen_US
dc.identifier.isbn978-3-905673-63-0en_US
dc.identifier.urihttps://doi.org/10.2312/LocalChapterEvents/TPCG/TPCG07/045-052en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectCategories and Subject Descriptors (according to ACM CCS): I.3.7 [Computer Graphics]: Three-Dimensional Graphics and Realism Animation G.1.7 [Numerical Analysis]: Ordinary Differential Equationsen_US
dc.titleStability Analysis of Filtered Mass-Spring Systemsen_US
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