TY - JOUR
T1 - Geometric and photometric data fusion in non-rigid shape analysis
AU - Kovnatsky, Artiom
AU - Raviv, Dan
AU - Bronstein, Michael M.
AU - Bronstein, Alexander M.
AU - Kimmel, Ron
PY - 2013/2
Y1 - 2013/2
N2 - In this paper, we explore the use of the diffusion geometry framework for the fusion of geometric and photometric information in local and global shape descriptors. Our construction is based on the definition of a diffusion process on the shape manifold embedded into a high-dimensional space where the embedding coordinates represent the photometric information. Experimental results show that such data fusion is useful in coping with different challenges of shape analysis where pure geometric and pure photometric methods fail.
AB - In this paper, we explore the use of the diffusion geometry framework for the fusion of geometric and photometric information in local and global shape descriptors. Our construction is based on the definition of a diffusion process on the shape manifold embedded into a high-dimensional space where the embedding coordinates represent the photometric information. Experimental results show that such data fusion is useful in coping with different challenges of shape analysis where pure geometric and pure photometric methods fail.
KW - 3D shape retrieval
KW - Deformation invariance
KW - Diffusion equation
KW - Heat kernel descriptors
KW - Laplace-Beltrami operator
UR - http://www.scopus.com/inward/record.url?scp=84874072400&partnerID=8YFLogxK
U2 - 10.4208/nmtma.2013.mssvm11
DO - 10.4208/nmtma.2013.mssvm11
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AN - SCOPUS:84874072400
SN - 1004-8979
VL - 6
SP - 199
EP - 222
JO - Numerical Mathematics
JF - Numerical Mathematics
IS - 1
ER -