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C~2 and C~3 Continuous Bézier Spline Curve with Given Tangent Polygon

Fang Kui

Open publisher page 2 citations

Abstract

This paper proposes an approach of constructing planar piecewise Bezier curve of 4th or 5th degree with all edges tangent to a given control polygon and the curve segments are joined together with C 2 and C 3 continuity. The segmented Bezier curves are all shape preserving to their tangent polygon. Finally, a few numerical examples illustrate that the method given in this paper is effective for CAGD.

About this research paper

What this paper is about

This paper proposes an approach of constructing planar piecewise Bezier curve of 4th or 5th degree with all edges tangent to a given control polygon and the curve segments are joined together with C 2 and C 3 continuity. The segmented Bezier curves are all shape preserving to their tangent polygon. Finally, a few numerical examples illustrate that the method given in this paper is effective for CAGD.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper proposes an approach of constructing planar piecewise Bezier curve of 4th or 5th degree with all edges tangent to a given control polygon and the curve segments are joined together with C 2 and C 3 continuity. The segmented Bezier curves are all shape preserving to their tangent polygon. Finally, a few numerical examples illustrate that the method given in this paper is effective for CAGD.

Key concepts: Bézier curve, Polygon (computer graphics), Tangent, Piecewise, Mathematics, Tangent vector, Spline (mechanical), Geometry

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C~2 and C~3 Continuous Bézier Spline Curve with Given Tangent Polygon — Research Paper | ScholarLens