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PH-spline approximation for Bézier curve and rendering offset.

Zhihao Zheng, Guozhao Wang

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Abstract

In this paper, a G(1), C(1), C(2) 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.

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What this paper is about

In this paper, a G(1), C(1), C(2) 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.

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Available abstract

In this paper, a G(1), C(1), C(2) 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 concepts: Offset (computer science), Bézier curve, Mathematics, Curve fitting, Geometric design, Algorithm, Computer science, Applied mathematics

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