2006Fudan xuebao. Ziran Kexue banRequires access

Approximate Multi-degree Reduction of Triangular Bézier Surfaces

Qingwei Guo, Tao Chang-hong

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Abstract

A method of the degree reduction for triangular Bezier surfaces is presented by minimizing the defined distance function between the original triangular Bezier surface of degree n and the degree reduced triangular Bezier surface of degree m(m≤n-1).Continuity at corner points of triangular Bezier surfaces are considered in degree reduction process.Finally some graphical examples are shown in order to illustrate the validity of the method presented here.

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A method of the degree reduction for triangular Bezier surfaces is presented by minimizing the defined distance function between the original triangular Bezier surface of degree n and the degree reduced triangular Bezier surface of degree m(m≤n-1).Continuity at corner points of triangular Bezier surfaces are considered in degree reduction process.Finally some graphical examples are shown in order to illustrate the validity of the method presented here.

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Available abstract

A method of the degree reduction for triangular Bezier surfaces is presented by minimizing the defined distance function between the original triangular Bezier surface of degree n and the degree reduced triangular Bezier surface of degree m(m≤n-1).Continuity at corner points of triangular Bezier surfaces are considered in degree reduction process.Finally some graphical examples are shown in order to illustrate the validity of the method presented here.

Key concepts: Bézier curve, Degree (music), Bézier surface, Mathematics, Reduction (mathematics), Surface (topology), Geometry, Mathematical analysis

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