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

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arxiv 1012.5933 v1 pith:KETX7GEP submitted 2010-12-29 cs.CV

Dan Raviv , Alexander M. Bronstein , Michael M. Bronstein , Ron Kimmel , Nir Sochen This is my paper
classification cs.CV
keywords invariantaffineanalysisdiffusiongeometryaffine-invariantanalyzedapplications
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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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