2008Computer Knowledge and TechnologyRequires access

Methods for Calculating the Weights of Rational Bézier Curve Representing Circular Arcs

Zhu Xiao-lin

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Abstract

Based on the non-uniform rational B-spline (NURBS) method of computer-aided design systems, often used, said arc rational Bezier curve. In this paper, the use of the power-index weights of rational Bezier curves that arc. Bernstein-use factor and its function to select the right factor, making the curve can be generated closer control polygons, combined with the geometric method of mapping out the circular structure of a vertex of the right to control αi factor in the value of simple and convenient method Geometry has an intuitive, practical, with the CAGD.

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What this paper is about

Based on the non-uniform rational B-spline (NURBS) method of computer-aided design systems, often used, said arc rational Bezier curve. In this paper, the use of the power-index weights of rational Bezier curves that arc. Bernstein-use factor and its function to select the right factor, making the curve can be generated closer control polygons, combined with the geometric method of mapping out the circular structure of a vertex of the right to control αi factor in the value of simple and convenient method Geometry has an intuitive, practical, with the CAGD.

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Available abstract

Based on the non-uniform rational B-spline (NURBS) method of computer-aided design systems, often used, said arc rational Bezier curve. In this paper, the use of the power-index weights of rational Bezier curves that arc. Bernstein-use factor and its function to select the right factor, making the curve can be generated closer control polygons, combined with the geometric method of mapping out the circular structure of a vertex of the right to control αi factor in the value of simple and convenient method Geometry has an intuitive, practical, with the CAGD.

Key concepts: Bézier curve, Computer science, Curve fitting, Vertex (graph theory), Rational function, Factor (programming language), Arc length, Geometric design

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