The Curvature of a Bézier Control Polyline
Articles > Article · 2011
Authors: Bahadır Tantay, Ferhat Taş
Mathematical and Computational Applications, International, Scopus, 2011, vol 16, pp 350-358
DOI: 10.3390/mca16020350
Summary
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.