The Curvature of a Bézier Control Polyline
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
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
Share and Cite
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 StyleTantay, 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
