APPROXIMATE IMPLICITIZATION BASED ON RBF NETWORKS AND MQ QUASI-INTERPOLATION  

作　　者：Renhong Wang Jinming Wu 

机构地区：[1]Institute of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China

出　　处：《Journal of Computational Mathematics》2007年第1期97-103,共7页计算数学（英文）

基　　金：Project supported by the National Natural Science Fbundation of China(No.10271022,No.60373093 and No.60533060).

摘　　要：In this paper, we propose a new approach to solve the approximate implicitization problem based on RBF networks and MQ quasi-interpolation. This approach possesses the advantages of shape preserving, better smoothness, good approximation behavior and relatively less data etc. Several numerical examples are provided to demonstrate the effectiveness and flexibility of the proposed method.In this paper, we propose a new approach to solve the approximate implicitization problem based on RBF networks and MQ quasi-interpolation. This approach possesses the advantages of shape preserving, better smoothness, good approximation behavior and relatively less data etc. Several numerical examples are provided to demonstrate the effectiveness and flexibility of the proposed method.

关 键 词：RBF networks MQ quasi-interpolation Approximate implicitization Rationalcurves 

分 类 号：O241.5[理学—计算数学]