2006Journal of Hanshan Normal UniversityRequires access

Bézier Curves and Surfaces Represented by the Shifting Operator

Zhiping Liu

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Abstract

Bezier curves and surfaces are widely used in CAGD. In this paper,we use the shifting operator to represent them. Based on the work of Chang Gengzhe about Bezier curves, we get the corresponding results on rectangular Bezier surface and triangular Bezier surface.

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What this paper is about

Bezier curves and surfaces are widely used in CAGD. In this paper,we use the shifting operator to represent them. Based on the work of Chang Gengzhe about Bezier curves, we get the corresponding results on rectangular Bezier surface and triangular Bezier surface.

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Available abstract

Bezier curves and surfaces are widely used in CAGD. In this paper,we use the shifting operator to represent them. Based on the work of Chang Gengzhe about Bezier curves, we get the corresponding results on rectangular Bezier surface and triangular Bezier surface.

Key concepts: Bézier curve, Bézier surface, Operator (biology), Surface (topology), Mathematics, Geometry, Mathematical analysis, Biochemistry

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