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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2004, Vol. 5 Issue (3): 343-349    DOI: 10.1631/jzus.2004.0343
Mathematics     
PH-spline approximation for Bézier curve and rendering offset
ZHENG Zhi-hao, WANG Guo-zhao
Department of Mathematics, Zhejiang University, Hangzhou 310027, China
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Abstract  In this paper, a G1, C1, C2 PH-spline is employed as an approximation for a given Bézier curve within error bound and further renders offset which can be regarded as an approximate offset to the Bézier curve. The errors between PH-spline and the Bézier curve, the offset to PH-spline and the offset to the given Bézier curve are also estimated. A new algorithm for constructing offset to the Bézier curve is proposed.

Key words： PH-spline      Bézier curve      Offset      Approximation      Error     
Received: 27 February 2003     
CLC:  TP391  
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ZHENG Zhi-hao
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Cite this article:

ZHENG Zhi-hao, WANG Guo-zhao. PH-spline approximation for Bézier curve and rendering offset. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2004, 5(3): 343-349.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2004.0343     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2004/V5/I3/343

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