Blending canal surfaces based on PH curves

Authors:
Chen-Dong Xu;Fa-Lai Chen
Affiliations:
Department of Mathematics, University of Science and Technology of China, Hefei, P.R. China;Department of Mathematics, University of Science and Technology of China, Hefei, P.R. China
Venue:
Journal of Computer Science and Technology
Year:
2005

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Abstract

In this paper, a new method for blending two canal surfaces is proposed. The blending surface is itself a generalized canal surface, the spine curve of which is a PH (Pythagorean-Hodograph) curve. The blending surface possesses an attractive property -- its representation is rational. The method is extensible to blend general surfaces as long as the blending boundaries are well-defined.