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2002•Journal of Engineering GraphicsRequires access

Singular Blended Bezier Curve and Its Base Representation

Xueyan Liu

Open publisher page 4 citations

Abstract

Combining the concept of weights with singular blending technique, we generalize the Bezier curve and denote the generalized Bezier curve as a-Bezier curve, whose shape-control capability is much better than that of Bezier curve; thus the a -Bezier curve is more useful in free curve and surface designing. The base representation of a -Bezier curve is stdudied. Varying the blending parameters reshape the curve, so it is very hopeful in the applications of CAD/CAM.

About this research paper

What this paper is about

Combining the concept of weights with singular blending technique, we generalize the Bezier curve and denote the generalized Bezier curve as a-Bezier curve, whose shape-control capability is much better than that of Bezier curve; thus the a -Bezier curve is more useful in free curve and surface designing. The base representation of a -Bezier curve is stdudied. Varying the blending parameters reshape the curve, so it is very hopeful in the applications of CAD/CAM.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Combining the concept of weights with singular blending technique, we generalize the Bezier curve and denote the generalized Bezier curve as a-Bezier curve, whose shape-control capability is much better than that of Bezier curve; thus the a -Bezier curve is more useful in free curve and surface designing. The base representation of a -Bezier curve is stdudied. Varying the blending parameters reshape the curve, so it is very hopeful in the applications of CAD/CAM.

Key concepts: Bézier curve, Mathematics, Representation (politics), Base (topology), Curve fitting, Geometry, Mathematical analysis, Statistics

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