Geometric and photometric data fusion in non-rigid shape analysis

Bronstein AM, Kovnatsky A, Raviv D, Bronstein MM, Kimmel R. 2013. Geometric and photometric data fusion in non-rigid shape analysis. Numerical Mathematics: Theory, Methods and Applications. 6(1), 199–222.

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Journal Article | Published | English

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Author
Bronstein, Alex M.ISTA ; Kovnatsky, Artiom; Raviv, Dan; Bronstein, Michael M.; Kimmel, Ron
Abstract
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.
Publishing Year
Date Published
2013-02-01
Journal Title
Numerical Mathematics: Theory, Methods and Applications
Publisher
Global Science Press
Volume
6
Issue
1
Page
199-222
ISSN
eISSN
IST-REx-ID

Cite this

Bronstein AM, Kovnatsky A, Raviv D, Bronstein MM, Kimmel R. Geometric and photometric data fusion in non-rigid shape analysis. Numerical Mathematics: Theory, Methods and Applications. 2013;6(1):199-222. doi:10.4208/nmtma.2013.mssvm11
Bronstein, A. M., Kovnatsky, A., Raviv, D., Bronstein, M. M., & Kimmel, R. (2013). Geometric and photometric data fusion in non-rigid shape analysis. Numerical Mathematics: Theory, Methods and Applications. Global Science Press. https://doi.org/10.4208/nmtma.2013.mssvm11
Bronstein, Alex M., Artiom Kovnatsky, Dan Raviv, Michael M. Bronstein, and Ron Kimmel. “Geometric and Photometric Data Fusion in Non-Rigid Shape Analysis.” Numerical Mathematics: Theory, Methods and Applications. Global Science Press, 2013. https://doi.org/10.4208/nmtma.2013.mssvm11.
A. M. Bronstein, A. Kovnatsky, D. Raviv, M. M. Bronstein, and R. Kimmel, “Geometric and photometric data fusion in non-rigid shape analysis,” Numerical Mathematics: Theory, Methods and Applications, vol. 6, no. 1. Global Science Press, pp. 199–222, 2013.
Bronstein AM, Kovnatsky A, Raviv D, Bronstein MM, Kimmel R. 2013. Geometric and photometric data fusion in non-rigid shape analysis. Numerical Mathematics: Theory, Methods and Applications. 6(1), 199–222.
Bronstein, Alex M., et al. “Geometric and Photometric Data Fusion in Non-Rigid Shape Analysis.” Numerical Mathematics: Theory, Methods and Applications, vol. 6, no. 1, Global Science Press, 2013, pp. 199–222, doi:10.4208/nmtma.2013.mssvm11.

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