Isometric embedding of facial surfaces into S3

conference paper Isometric embedding of facial surfaces into S3 LNIP published yes Alexander Bronstein author 58f3726e-7cba-11ef-ad8b-e6e8cb3904e60000-0001-9699-8730 Michael M. Bronstein author Ron Kimmel author Scale Space: Conference on Scale-Space Theories in Computer Vision 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. Springer Berlin Heidelberg2005Hofgeismar, Germany eng 5th International Conference on Scale-Space Theories in Computer Vision 0302-9743 1611-3349 978354025547510.1007/11408031_53 3459622-631 yes 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. <a href="https://doi.org/10.1007/11408031_53">https://doi.org/10.1007/11408031_53</a> 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:<a href="https://doi.org/10.1007/11408031_53">10.1007/11408031_53</a> A.M. Bronstein, M.M. Bronstein, R. Kimmel, in:, 5th International Conference on Scale-Space Theories in Computer Vision, Springer Berlin Heidelberg, 2005, pp. 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:<a href="https://doi.org/10.1007/11408031_53">10.1007/11408031_53</a>. 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., 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. <a href="https://doi.org/10.1007/11408031_53">https://doi.org/10.1007/11408031_53</a>. 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. 183192024-10-15T11:12:06Z2024-10-22T06:29:06Z