Extending and correcting some research results on minimal and harmonic surfaces

  • Authors:
  • Hua-Jing-Ling Wu;Guo-Jin Wang

  • Affiliations:
  • Department of Mathematics, Zhejiang University, Hangzhou 310027, China and State Key Laboratory of CAD&CG, Zhejiang University, Hangzhou 310027, China;Department of Mathematics, Zhejiang University, Hangzhou 310027, China and State Key Laboratory of CAD&CG, Zhejiang University, Hangzhou 310027, China

  • Venue:
  • Computer Aided Geometric Design
  • Year:
  • 2012

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Abstract

In this article, we give necessary and beneficial extension for several important theorems by Monterde et al. on minimal and harmonic surfaces, so that they can be applied to all generic situations for nxm (nm or n=m) Bezier surfaces, instead of the special case of nxn Bezier surfaces. At the same time, we point out the errors in Monterde et al.@?s six papers, and give the correct and precise answers.