ICIP 2006, Atlanta, GA
 

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Paper:TA-L4.6
Session:3D Modeling and Synthesis
Time:Tuesday, October 10, 11:40 - 12:00
Presentation: Lecture
Topic: Stereoscopic and 3-D Processing: 3D modeling & synthesis
Title: APPROXIMATION OF UNORGANIZED POINT SET WITH COMPOSITE IMPLICIT SURFACE
Authors: Arnaud Gelas; CREATIS, INSA, UCBL, CNRS UMR 5515, Inserm U630 
 Yutaka Ohtake; RIKEN 
 Takashi Kanai; University of Tokyo 
 Rémy Prost; CREATIS, INSA, UCBL, CNRS UMR 5515, Inserm U630 
Abstract: We propose a new approach for surface reconstruction from any unorganized point set, with a fixed amount of parameters. First, we consider some local approximations by Compactly Supported Radial Basis Functions (CSRBFs), then we blend them by a partition of unity method (PU). In our scheme, we start by selecting CSRBFs centers, then we construct partitions, finally parameters are calculated in order to minimize, on each sub-domain, the mean square error with a regularization constraint. We demonstrate the effectiveness of our approach on several models with different points distributions.