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Journal of Zhejiang University SCIENCE A

ISSN 1673-565X(Print), 1862-1775(Online), Monthly

PH-spline approximation for Bézier curve and rendering offset

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


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DOI:

10.1631/jzus.2004.0343

CLC number:

TP391

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Received:

2003-02-27

Revision Accepted:

2003-07-07

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