IEEE Transactions on Visualization and Computer Graphics · 2014 · 81 citations · 55 references
ArchitectureComputer Science3D ModelingComputational GeometryGeometric Modeling3D AnimationGeometry ProcessingMesh GenerationMesh ModelingShape DeformationShape InterpolationAs-rigid-as-possible DeformationDeformationDiscretizationShape AnimationSurface DeformationSurface Deformation AlgorithmsTetrahedral MeshingVolumetric Deformation
In recent years, the As-Rigid-As-Possible (ARAP) shape deformation and shape interpolation techniques gained popularity, and the ARAP energy was successfully used in other applications as well. We improve the ARAP animation technique in two aspects. First, we introduce a new ARAP-type energy, named SR-ARAP, which has a consistent discretization for surfaces (triangle meshes). The quality of our new surface deformation scheme competes with the quality of the volumetric ARAP deformation (for tetrahedral meshes). Second, we propose a new ARAP shape interpolation method that is superior to prior art also based on the ARAP energy. This method is compatible with our new SR-ARAP energy, as well as with the ARAP volume energy.
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As-Rigid-As-Possible Surface Modeling
2007 · 799 citations
As-rigid-as-possible shape interpolation
Marc Alexa, Daniel Cohen‐Or, David Levin · 2000 · 509 citations
Jerrold E. Marsden, Anil N. Hirani · arXiv (Cornell University) · 2003 · 497 citations · Full text