English

Fast Blended Transformations for Partial Shape Registration

Graphics 2016-09-27 v1 Computational Geometry

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 non-rigid 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 result reconstruction is more accurate compared to state-of-the-art reduced deformable models.

Keywords

Cite

@article{arxiv.1609.07738,
  title  = {Fast Blended Transformations for Partial Shape Registration},
  author = {Alon Shtern and Matan Sela and Ron Kimmel},
  journal= {arXiv preprint arXiv:1609.07738},
  year   = {2016}
}
R2 v1 2026-06-22T16:00:29.691Z