Surface Reconstruction of 3D Scattered Data with Radial Basis Functions

作     者：Du XIN-WEI YANG XIAO-YING LIANG XUE-ZHANG 

作者机构：School of Mathematics Jilin University Changchun 130012 College of Mathematics Changchun University of Technology Changchun 130021 

出 版 物：《Communications in Mathematical Research》 (数学研究通讯（英文版）)

年 卷 期：2010年第26卷第2期

页      面：183-192页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 081203[工学-计算机应用技术] 08[工学] 081104[工学-模式识别与智能系统] 0835[工学-软件工程] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：The NSF (60673021 60773098) of China 

主　　题：radial basis function scattered data implicit surface surface reconstruction 

摘      要：We use Radial Basis Functions （RBFs） to reconstruct smooth surfaces from 3D scattered data. An object＇s surface is defined implicitly as the zero set of an RBF fitted to the given surface data. We propose improvements on the methods of surface reconstruction with radial basis functions. A sparse approximation set of scattered data is constructed by reducing the number of interpolating points on the surface. We present an adaptive method for finding the off-surface normal points. The order of the equation decreases greatly as the number of the off-surface constraints reduces gradually. Experimental results are provided to illustrate that the proposed method is robust and may draw beautiful graphics.