Isometric embedding of facial surfaces into script S sign3

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 script S sign3, which appears to be superior over the previously used Euclidean space in sense of the representation accuracy. © Springer-Verlag Berlin Heidelberg 2005.