Affine-invariant diffusion geometry for the analysis of deformable 3D shapes
Computer Vision and Pattern Recognition
2010-12-30 v1
Abstract
We introduce an (equi-)affine invariant diffusion geometry by which surfaces that go through squeeze and shear transformations can still be properly analyzed. The definition of an affine invariant metric enables us to construct an invariant Laplacian from which local and global geometric structures are extracted. Applications of the proposed framework demonstrate its power in generalizing and enriching the existing set of tools for shape analysis.
Cite
@article{arxiv.1012.5933,
title = {Affine-invariant diffusion geometry for the analysis of deformable 3D shapes},
author = {Dan Raviv and Alexander M. Bronstein and Michael M. Bronstein and Ron Kimmel and Nir Sochen},
journal= {arXiv preprint arXiv:1012.5933},
year = {2010}
}