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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2011, 16(2), 350-358;

The Curvature of a Bézier Control Polyline

Ege University, Department of Mathematics, Izmir, 35100 Turkey
Istanbul University, Department of Mathematics, Istanbul, 34134 Turkey
Authors to whom correspondence should be addressed.
Published: 1 August 2011
PDF [177 KB, uploaded 15 March 2016]


The role of differential geometry in describing a curve can not be denied. The differential forms defined for Bézier curves which are widely used in computer aided geometric design, plays a significant role in classification and image processing of curves. For this reason, the definitions such as Serret-Frenet frame, curvature and torsion which are described for Bézier curves are very important in computer aided geometric design. In this paper, in addition to these definitions we have also defined a new classification by applying angular curvature used for planar curves in computational geometry to Bézier control polygon.
Keywords: Bézier curves; blossom; line curvature Bézier curves; blossom; line curvature
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Tantay, B.; Taş, F. The Curvature of a Bézier Control Polyline. Math. Comput. Appl. 2011, 16, 350-358.

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