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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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Article

The Curvature of a Bézier Control Polyline

by
Bahadır Tantay
1,* and
Ferhat Taş
2,*
1
Ege University, Department of Mathematics, Izmir, 35100 Turkey
2
Istanbul University, Department of Mathematics, Istanbul, 34134 Turkey
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2011, 16(2), 350-358; https://doi.org/10.3390/mca16020350
Published: 1 August 2011
Versions Notes

Abstract

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

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MDPI and ACS Style

Tantay, B.; Taş, F. The Curvature of a Bézier Control Polyline. Math. Comput. Appl. 2011, 16, 350-358. https://doi.org/10.3390/mca16020350

AMA Style

Tantay B, Taş F. The Curvature of a Bézier Control Polyline. Mathematical and Computational Applications. 2011; 16(2):350-358. https://doi.org/10.3390/mca16020350

Chicago/Turabian Style

Tantay, Bahadır, and Ferhat Taş. 2011. "The Curvature of a Bézier Control Polyline" Mathematical and Computational Applications 16, no. 2: 350-358. https://doi.org/10.3390/mca16020350

APA Style

Tantay, B., & Taş, F. (2011). The Curvature of a Bézier Control Polyline. Mathematical and Computational Applications, 16(2), 350-358. https://doi.org/10.3390/mca16020350

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