Shape space - a paradigm for character animation in computer graphics

Snapshots of modern mathematics from Oberwolfach

Shape space - a paradigm for character animation in computer graphics

Nowadays 3D computer animation is increasingly realistic as the models used for the characters become more and more complex. These models are typically represented by meshes of hundreds of thousands or even millions of triangles. The mathematical notion of a shape space allows us to effectively model, manipulate, and animate such meshes. Once an appropriate notion of dissimilarity measure between different triangular meshes is defined, various useful tools in character modeling and animation turn out to co- incide with basic geometric operations derived from this definition

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Mathematical subjects

Numerics and Scientific Computing

Connections to other fields

Computer Science

Author(s)

Behrend Heeren, Martin Rumpf

License

DOI (Digital Object Identifier)

10.14760/SNAP-2020-007-EN

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PDF

snapshots: overview

Mathematical subjects

Algebra and Number Theory
Analysis
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
Numerics and Scientific Computing
Probability Theory and Statistics

Connections to other fields

Chemistry and Earth Science
Computer Science
Engineering and Technology
Finance
Humanities and Social Sciences
Life Science
Physics
Reflections on Mathematics

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