Bézier Curves and Surfaces Represented by the Shifting Operator
Zhiping Liu
Abstract
Zhiping Liu
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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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