Isometric embedding of facial surfaces into S3
Bronstein AM, Bronstein MM, Kimmel R. 2005. Isometric embedding of facial surfaces into S3. 5th International Conference on Scale-Space Theories in Computer Vision. Scale Space: Conference on Scale-Space Theories in Computer Vision, LNIP, vol. 3459, 622–631.
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Conference Paper
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Scopus indexed
Author
Bronstein, Alex M.ISTA 
;
Bronstein, Michael M.;
Kimmel, Ron
;
Bronstein, Michael M.;
Kimmel, RonSeries Title
LNIP
Abstract
The problem of isometry-invariant representation and comparison of surfaces is of cardinal importance in pattern recognition applications dealing with deformable objects. Particularly, in three-dimensional face recognition treating facial expressions as isometries of the facial surface allows to perform robust recognition insensitive to expressions.
Isometry-invariant representation of surfaces can be constructed by isometrically embedding them into some convenient space, and carrying out the comparison in that space. Presented here is a discussion on isometric embedding into S3, which appears to be superior over the previously used Euclidean space in sense of the representation accuracy.
Publishing Year
Date Published
2005-03-31
Proceedings Title
5th International Conference on Scale-Space Theories in Computer Vision
Publisher
Springer Berlin Heidelberg
Volume
3459
Page
622-631
Conference
Scale Space: Conference on Scale-Space Theories in Computer Vision
Conference Location
Hofgeismar, Germany
Conference Date
2005-04-07 – 2005-04-09
ISBN
ISSN
eISSN
IST-REx-ID
Cite this
Bronstein AM, Bronstein MM, Kimmel R. Isometric embedding of facial surfaces into S3. In: 5th International Conference on Scale-Space Theories in Computer Vision. Vol 3459. Springer Berlin Heidelberg; 2005:622-631. doi:10.1007/11408031_53
Bronstein, A. M., Bronstein, M. M., & Kimmel, R. (2005). Isometric embedding of facial surfaces into S3. In 5th International Conference on Scale-Space Theories in Computer Vision (Vol. 3459, pp. 622–631). Hofgeismar, Germany: Springer Berlin Heidelberg. https://doi.org/10.1007/11408031_53
Bronstein, Alex M., Michael M. Bronstein, and Ron Kimmel. “Isometric Embedding of Facial Surfaces into S3.” In 5th International Conference on Scale-Space Theories in Computer Vision, 3459:622–31. Springer Berlin Heidelberg, 2005. https://doi.org/10.1007/11408031_53.
A. M. Bronstein, M. M. Bronstein, and R. Kimmel, “Isometric embedding of facial surfaces into S3,” in 5th International Conference on Scale-Space Theories in Computer Vision, Hofgeismar, Germany, 2005, vol. 3459, pp. 622–631.
Bronstein AM, Bronstein MM, Kimmel R. 2005. Isometric embedding of facial surfaces into S3. 5th International Conference on Scale-Space Theories in Computer Vision. Scale Space: Conference on Scale-Space Theories in Computer Vision, LNIP, vol. 3459, 622–631.
Bronstein, Alex M., et al. “Isometric Embedding of Facial Surfaces into S3.” 5th International Conference on Scale-Space Theories in Computer Vision, vol. 3459, Springer Berlin Heidelberg, 2005, pp. 622–31, doi:10.1007/11408031_53.
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