Approximate implicitization of parametric surfaces by using compactly supported radial basis functions

  • Authors:
  • Jinming Wu;Renhong Wang

  • Affiliations:
  • College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou, 310018, China;Institute of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2008

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Abstract

In this paper, a new approach is proposed to solve the approximate implicitization of parametric surfaces. It is primarily based on multivariate interpolation of scattered data by using compactly supported radial basis functions. Experimental results are provided to illustrate the proposed method is flexible and effective.