TY - GEN
T1 - Affine-invariant diffusion geometry for the analysis of deformable 3D shapes
AU - Raviv, Dan
AU - Bronstein, Michael M.
AU - Bronstein, Alexander M.
AU - Kimmel, Ron
AU - Sochen, Nir
PY - 2011
Y1 - 2011
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=80052907630&partnerID=8YFLogxK
U2 - 10.1109/CVPR.2011.5995486
DO - 10.1109/CVPR.2011.5995486
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AN - SCOPUS:80052907630
SN - 9781457703942
T3 - Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
SP - 2361
EP - 2367
BT - 2011 IEEE Conference on Computer Vision and Pattern Recognition, CVPR 2011
PB - IEEE Computer Society
ER -