NDLI: A novel approach for high dimension 3D object representation using Multi-Mother Wavelet Network

Content Provider	Springer Nature Link
Author	Othmani, Mohamed Bellil, Wajdi Ben Amar, Chokri Alimi, Adel M.
Copyright Year	2010
Abstract	In this paper, we present a novel approach for 3D objects representation. Our idea is to prove that wavelet networks are capable for reconstruction and representing irregular 3D objects used in computer graphics. The major contribution consist to transform an input surface vertices into signals and to provide instantaneously an estimation of the output values for input values. To prove this, we will use a new structure of wavelet network founded on several mother wavelet families. This structure uses several mother wavelet, in order to maximize best wavelet selection probability. An algorithm to construct this structure is presented. First, Data is taken from 3D object. The vertices and their corresponding normal values of a 3D object are used to create a training set. To this stage, the training set can be expressed according to three functions, which interpolates all their vertices. Second we approximate each function using wavelet network. To achieve a better approximation, the network is trained several iterations to optimize wavelet selection for every mother. To guarantee a small error criterion, we adjust wavelet network parameters (weight, translation and dilation) by using an improved Orthogonal Least Squares method version. We consider our proposed approach on some 3D examples to prove that the new approach is able to approximate 3D objects with a good approximation ability.
Starting Page	7
Ending Page	24
Page Count	18
File Format	PDF
ISSN	13807501
Journal	Multimedia Tools and Applications
Volume Number	59
Issue Number	1
e-ISSN	15737721
Language	English
Publisher	Springer US
Publisher Date	2011-01-08
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	3D representation Multi-Mother Wavelet Networks OLS algorithm Approximation Polywogs Data Structures, Cryptology and Information Theory Computer Communication Networks Multimedia Information Systems Special Purpose and Application-Based Systems
Content Type	Text
Resource Type	Article
Subject	Computer Networks and Communications Hardware and Architecture Software Media Technology

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