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Blending Canal Surfaces Based on PH Curves

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of Science and Technology of China, Hefei, 230026, P.R. China

    Chen-Dong Xu & Fa-Lai Chen

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  1. Chen-Dong Xu
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  2. Fa-Lai Chen
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Correspondence to Chen-Dong Xu.

Additional information

Short Paper Supported by the Outstanding Youth Grant of NSF of China (No.60225002), the TRAPOYT in Higher Education Institutions of MOE of China and the National Research Foundation for the Doctoral Program of MOE of China (No.20010358003).

Chen-Dong Xu is currently a Ph.D. candidate in the Department of Mathematics at the University of Science and Technology of China. He received his B.S. degree from the University of Science and Technology of China (2001). His research interests include computer aided geometric design and computer graphics.

Fa-Lai Chen is a professor in the Department of Mathematics at the University of Science and Technology of China. He received his B.S. (1987), M.S. (1989), and Ph.D. (1994) degrees from the University of Science and Technology of China. His research interests include computer aided geometric design, computer graphics and applied approximation theory.

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Xu, CD., Chen, FL. Blending Canal Surfaces Based on PH Curves. J Comput Sci Technol 20, 389–395 (2005). https://doi.org/10.1007/s11390-005-0389-2

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  • DOI: https://doi.org/10.1007/s11390-005-0389-2

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