Paper Info
Title
Accurate surface embedding for higher order finite elements
Abstract
In 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.
Year
DOI
Venue
2013
10.1145/2485895.2485914
Symposium on Computer Animation 2004
Keywords
Field
DocType
computational mesh,surface node,low-resolution computational mesh,coarse computational mesh,finite element,smooth surface deformation,fe mesh,surface vertex,curved computational,detailed mesh,mapping scheme,higher order,accurate surface,computational mathematics,computer science
Topology,Polygon mesh,Embedding,Vertex (geometry),Computational mathematics,Finite element method,Subdivision surface,Numerical analysis,Geometry,Normal,Mathematics
Conference
Citations 
PageRank 
References 
0
0.34
10
Authors
5
Name
Order
Citations
PageRank
Stefan Suwelack1415.89
Dimitar Lukarski2395.39
Vincent Heuveline317930.51
Rüdiger Dillmann42201262.95
Stefanie Speidel531339.70