3D object modeling using multi-mother wavelet network

Abstract

This paper deals with an experiment which proves that wavelet networks are capable for 3D objects modeling. To prove this, we will propose a new structure of wavelet network founded on several mother wavelets families. This new structure is in some ways similar to the classic wavelet networks but it admits some originality. Actually, wavelet network basically uses dilations and translations versions of only one mother wavelet to construct the network. The proposed structure uses several mother wavelets, in order to maximize best wavelets selection probability. An algorithm to construct this structure is presented. First, 3D object model vertices and their corresponding normal values are used to create a training set. Then, an improved Orthogonal Least Squares method version is applied to optimize wavelet selection for every mother wavelet. Some simulation results will describe the proposed wavelet network performance employing several types of Polywogs as mother wavelets.