Accurate Surface Embedding for Higher Order Finite Elements

Simple item page
dc.contributor.authorSuwelack, Stefanen_US
dc.contributor.authorLukarski, Dimitaren_US
dc.contributor.authorHeuveline, Vincenten_US
dc.contributor.authorDillmann, Rüdigeren_US
dc.contributor.authorSpeidel, Stefanieen_US
dc.contributor.editorTheodore Kim and Robert Sumneren_US
dc.date.accessioned2016-02-18T12:01:43Z
dc.date.available2016-02-18T12:01:43Z
dc.date.issued2013en_US
dc.description.abstractIn this paper we present a novel approach to efficiently simulate the deformation of highly detailed meshes using higher order finite elements (FE). An efficient algorithm based on non-linear optimization is proposed in order to find the closest point in the curved computational FE mesh for each surface vertex. In order to extrapolate deformations to surface points outside the FE mesh, we introduce a mapping scheme that generates smooth surface deformations and preserves local shape even for low-resolution computational meshes. The mapping is constructed by representing each surface vertex in terms of points on the computational mesh and its distance to the FE mesh in normal direction. A numerical analysis shows that the mapping can be robustly constructed using the proposed non-linear optimization technique. Furthermore it is demonstrated that the numerical complexity of the mapping scheme is linear in the number of surface nodes and independent of the size of the coarse computational mesh.en_US
dc.description.sectionheadersBendy, Smoky, Smashyen_US
dc.description.seriesinformationEurographics/ ACM SIGGRAPH Symposium on Computer Animationen_US
dc.identifier.doi10.1145/2485895.2485914en_US
dc.identifier.isbn978-1-4503-2132-7en_US
dc.identifier.issn1727-5288en_US
dc.identifier.pages187-192en_US
dc.identifier.urihttps://doi.org/10.1145/2485895.2485914en_US
dc.publisherACM SIGGRAPH / Eurographics Associationen_US
dc.subjectCR Categoriesen_US
dc.subjectI.3.5 [Computer Graphics]en_US
dc.subjectComputational Geometry and Object Modelingen_US
dc.subjectPhysically based modelingen_US
dc.subjectI.3.7 [Computer Graphics]en_US
dc.subjectThree Dimensional Graphics and Realismen_US
dc.subjectAnimationen_US
dc.subjectKeywordsen_US
dc.subjectdeformable modelsen_US
dc.subjecthigher order FEen_US
dc.titleAccurate Surface Embedding for Higher Order Finite Elementsen_US
Files
Collections
SCA 13: Eurographics/SIGGRAPH Symposium on Computer Animation