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2010•Journal of Beijing Electronic Science and Technology InstituteRequires access

G~2 Continuous Close Bézier Curve with Given Tangent Polygon

Wang Cheng-wei

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Abstract

An algorithm for constructing close Bezier curve of 5th degrees which is tangent to the given polygon is described.The control points of close Bezier curve of 5th degrees to be constructed are computed simply by the vertices of the given polygon.The constructed curve is shape-preserving to the polygon.The local modification to the Bezier curve of 5th degrees can be completed by simply adjusting the corresponding control parameters.One example is given.

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What this paper is about

An algorithm for constructing close Bezier curve of 5th degrees which is tangent to the given polygon is described.The control points of close Bezier curve of 5th degrees to be constructed are computed simply by the vertices of the given polygon.The constructed curve is shape-preserving to the polygon.The local modification to the Bezier curve of 5th degrees can be completed by simply adjusting the corresponding control parameters.One example is given.

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Available abstract

An algorithm for constructing close Bezier curve of 5th degrees which is tangent to the given polygon is described.The control points of close Bezier curve of 5th degrees to be constructed are computed simply by the vertices of the given polygon.The constructed curve is shape-preserving to the polygon.The local modification to the Bezier curve of 5th degrees can be completed by simply adjusting the corresponding control parameters.One example is given.

Key concepts: Polygon (computer graphics), Bézier curve, Tangent, Mathematics, Rectilinear polygon, Simple polygon, Computer science, Geometry

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