Article ID: MTJPAM-D-21-00072

Title: Geometry of contrapedal curves of Bézier curves


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-21-00072; Volume 4 / Issue 2 / Year 2022, Pages 11-17

Document Type: Research Paper

Author(s): Ayşe Yılmaz Ceylan a

aDepartment of Mathematics, Faculty of Science, Akdeniz University, 07058 Antalya, Turkey

Received: 29 November 2021, Accepted: 4 March 2022, Published: 29 April 2022.

Corresponding Author: Ayşe Yılmaz Ceylan (Email address: ayilmazceylan@akdeniz.edu.tr)

Full Text: PDF

Abstract

The scope of this paper is to study the geometric structures of contrapedal curves of Bézier curves which has many applications in computer graphics and related areas. Especially, the curvature of a contrapedal curve of a planar Bézier curve are examined. Moreover, the curvature of this curve couple is handled with the origin pedal point. In addition, the curvatures are investigated at the end points.

Keywords: Bézier curve, curvature, contrapedal curve

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