Affine-invariant diffusion geometry for the analysis of deformable 3D shapes

Details Affine-invariant diffusion geometry for the analysis of deformable 3D shapes Affine-invariant diffusion geometry for the analysis of deformable 3D shapes

2010-12-29

arxiv.org/abs/1012.5933v1

Computer Science

Computer Vision and Pattern Recognition

Scientific paper

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.

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