DocumentCode
2915982
Title
Affine-invariant diffusion geometry for the analysis of deformable 3D shapes
Author
Raviv, Dan ; Bronstein, Alexander M. ; Bronstein, Michael M. ; Kimmel, Ron ; Sochen, Nir
Author_Institution
Dept. of Comput. Sci., Technion - Israel Inst. of Technol., Haifa, Israel
fYear
2011
fDate
20-25 June 2011
Firstpage
2361
Lastpage
2367
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.
Keywords
Laplace transforms; affine transforms; feature extraction; shape recognition; shear deformation; affine-invariant diffusion geometry; deformable 3D shape analysis; equiaffine invariant diffusion geometry; global geometric structure extraction; invariant Laplacian; local geometric structure extraction; shear transformation; Eigenvalues and eigenfunctions; Geometry; Heating; Kernel; Measurement; Shape; Tensile stress;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Vision and Pattern Recognition (CVPR), 2011 IEEE Conference on
Conference_Location
Providence, RI
ISSN
1063-6919
Print_ISBN
978-1-4577-0394-2
Type
conf
DOI
10.1109/CVPR.2011.5995486
Filename
5995486
Link To Document