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2008-03-04 (14.00) : A framework of calculus on facial surfaces : Analysis representation and comparison

At Euler building

Organized by Mathematical Engineering

Speaker : Samir, Chafik
Abstract : There is an increasing interest in analyzing shapes of facial surfaces with many applications including biometrics, facial surgery, video communications, and 3D animation. This interest is fuelled by the advent of different types of scanners that can provide high-resolution measurements of both geometry and texture of human facial surfaces. One general goal in this work is to develop computational tools for analyzing 3D face data. In particular, we are interested in comparing the shapes of facial surfaces. Such a tool can be used to recognize human beings according to their facial shapes, to measure changes in a facial shape due to a surgery, or to study/capture the variations in facial shapes during conversations and expressions of emotions. Additionally, another subproblem addressed in here is to find an optimal deformation of one surface into another, under some chosen criterion. These deformations can be useful in defining summary statistics of a collection of faces. For example, we define and compute an it average face (Karcher mean) of a set of people, or for one person under different facial expressions. Efficient tools for understanding and studying variability in facial shapes are of great importance in our biometric-oriented society, our method using planar shapes is tested on FRGC v1.0 database, and obtained results are very promising.
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