You are currently viewing a new version of our website. To view the old version click .
  • 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).
  • Article
  • Open Access

1 August 2011

The Curvature of a Bézier Control Polyline

and
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.

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.

Article Metrics

Citations

Article Access Statistics

Multiple requests from the same IP address are counted as one view.