Abstract
Automatic estimation of skinning transformations is a popular way to deform a single reference shape into a new pose by providing a small number of control parameters. We generalize this approach by efficiently enabling the use of multiple exemplar shapes. Using a small set of representative natural poses, we propose to express an unseen appearance by a low-dimensional linear subspace, specified by a redundant dictionary of weighted vertex positions. Minimizing a nonlinear functional that regulates the example manifold, the suggested approach supports local-rigid deformations of articulated objects, as well as nearly isometric embeddings of smooth shapes. A real-time nonrigid deformation system is demonstrated, and a shape completion and partial registration framework is introduced. These applications can recover a target pose and implicit inverse kinematics from a small number of examples and just a few vertex positions. The resulting reconstruction is more accurate compared to alternative reduced deformable models.
Original language | English |
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Pages (from-to) | 913-928 |
Number of pages | 16 |
Journal | Journal of Mathematical Imaging and Vision |
Volume | 60 |
Issue number | 6 |
DOIs | |
State | Published - 1 Jul 2018 |
Keywords
- Geometric modeling
- Shape correspondence
- Shape deformation
- Skinning
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Modelling and Simulation
- Condensed Matter Physics
- Computer Vision and Pattern Recognition
- Geometry and Topology
- Applied Mathematics