AUTHOR=Yang Chaoyu , Yang Jie , Liu Ying , Geng Xianya 

TITLE=Necessary and Sufficient Conditions for Expressing Quadratic Rational Bézier Curves

JOURNAL=Frontiers in Physics

VOLUME=Volume 8 - 2020

YEAR=2020

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2020.00175

DOI=10.3389/fphy.2020.00175

ISSN=2296-424X

ABSTRACT=Quadratic rational Bezier curve transformation is widely used in the field of computer geometry. In this paper, we offer several important characteristics of quadratic rational Bezier curve. More precisely, on the basis of proving its monotonicity, the necessary and sufficient conditions for transforming quadratic rational Bezier curve into point, line segment, parabola, elliptic arc, circular arc and hyperbola are proved respectively.