Isometric Embedding of Facial Surfaces into

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 threedimensional 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.

• Type: Conference
• Year: 2005
• Where: SCALESPACE
• Authors: Alexander M. Bronstein, Michael M. Bronstein, Ron Kimmel
• Keywords: Isometry-invariant Representation, Pattern Recognition Applications, SCALESPACE 2005, Threedimensional Face Recognition