g-HDAF multiresolution deformable models

Abstract

In this paper, we construct a new class of deformable models using a new family of biorthogonal wavelets, named generalized Hermite Distributed Approximating Functional (g-HDAF) Wavelets. The scaling functions of this new family are symmetric and the corresponding wavelets optimize their smoothness for a given number of vanishing moments. In addition, we embed these multiresolution deformable models to the physics-based deformable model framework and use them for fitting 3D range data. We have performed a number of experiments with both synthetic and real data with very encouraging results.