Journal of University of Science and Technology of China ›› 2015, Vol. 45 ›› Issue (11): 906-910.DOI: 10.3969/j.issn.0253-2778.2015.11.004

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The continuity condition for harmonic Bézier surfaces

NI Qian   

  1. 1.School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China; 2.School of Mathematics, Hefei University of Technology, Hefei 230009, China
  • Received:2014-02-12 Revised:2014-05-20 Online:2015-11-30 Published:2015-11-30

Abstract: The relationships between control points for two bi-degree (n,n) harmonic Bézier surface patches were studied, when these two surface patches are C continuous at the common boundary. The result shows that when the two harmonic Bézier surfaces are Cr continuous, the two harmonic Bézier surface patches are from the same piece of surface.

Key words: harmonic Bézier surfaces, continuity condition, control points