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2009•Computer Engineering and Applications JournalRequires access

Extensions of C-Bézier curves and surfaces

Zhu Gong-qin

Open publisher page 4 citations

Abstract

C-Bezier curves and surfaces with multiple shape parameters is constructed by an integral approach.The shape of the curves and surfaces can be adjusted entirely or locally by changing the values of the shape parameters.They include the C-Bezier curves and surfaces and combine the main properties of C-Bezier curves and surfaces.G1 and C1 link conditions of quadratic C-Bezier curves with two shape parameters and G1,C1,G2 link conditions of cubic C-Bezier curves with three shape parameters are presented.

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What this paper is about

C-Bezier curves and surfaces with multiple shape parameters is constructed by an integral approach.The shape of the curves and surfaces can be adjusted entirely or locally by changing the values of the shape parameters.They include the C-Bezier curves and surfaces and combine the main properties of C-Bezier curves and surfaces.G1 and C1 link conditions of quadratic C-Bezier curves with two shape parameters and G1,C1,G2 link conditions of cubic C-Bezier curves with three shape parameters are presented.

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Available abstract

C-Bezier curves and surfaces with multiple shape parameters is constructed by an integral approach.The shape of the curves and surfaces can be adjusted entirely or locally by changing the values of the shape parameters.They include the C-Bezier curves and surfaces and combine the main properties of C-Bezier curves and surfaces.G1 and C1 link conditions of quadratic C-Bezier curves with two shape parameters and G1,C1,G2 link conditions of cubic C-Bezier curves with three shape parameters are presented.

Key concepts: Bézier curve, Mathematics, Quadratic equation, Family of curves, Shape parameter, Differential geometry of curves, Geometry, Mathematical analysis

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