TY - GEN
T1 - Equi-affine invariant geometries of articulated objects
AU - Raviv, Dan
AU - Bronstein, Alexander M.
AU - Bronstein, Michael M.
AU - Kimmel, Ron
AU - Sochen, Nir
PY - 2012
Y1 - 2012
N2 - We introduce an (equi-)affine invariant geometric structure 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 evaluate a new form of geodesic distances and to construct an invariant Laplacian from which local and global diffusion geometry is constructed. 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 geometric structure 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 evaluate a new form of geodesic distances and to construct an invariant Laplacian from which local and global diffusion geometry is constructed. 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=84867845401&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-34091-8_8
DO - 10.1007/978-3-642-34091-8_8
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AN - SCOPUS:84867845401
SN - 9783642340901
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 177
EP - 190
BT - Outdoor and Large-Scale Real-World Scene Analysis - 15th International Workshop on Theoretical Foundations of Computer Vision, Revised Selected Papers
T2 - 15th International Workshop on Theoretical Foundations of Computer Vision
Y2 - 26 June 2011 through 1 July 2011
ER -