scholarly journals Geometric Properties and Algorithms for Rational q-Bézier Curves and Surfaces

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 541
Author(s):  
Jorge Delgado ◽  
J. M. Peña
Keyword(s):  
Bezier Curves ◽  
Bézier Curves ◽  
Geometric Properties ◽  
Paper Properties ◽  
Rational Bézier Curves ◽  
Curves And Surfaces ◽  
Barycentric Form

In this paper, properties and algorithms of q-Bézier curves and surfaces are analyzed. It is proven that the only q-Bézier and rational q-Bézier curves satisfying the boundary tangent property are the Bézier and rational Bézier curves, respectively. Evaluation algorithms formed by steps in barycentric form for rational q-Bézier curves and surfaces are provided.

Evaluation of difference bounds for computing rational Bézier curves and surfaces

2004 ◽  
Vol 28 (4) ◽  
pp. 551-558 ◽  
Author(s):  
Wu Zhongke ◽  
Lin Feng ◽  
Seah Hock Soon ◽  
Chan Kai Yun
Keyword(s):  
Bezier Curves ◽  
Bézier Curves ◽  
Rational Bézier Curves ◽  
Curves And Surfaces

scholarly journals Monotonicity preserving representations of curves and surfaces

2016 ◽  
Vol 1 (2) ◽  
pp. 517-528 ◽  
Author(s):  
Jorge Delgado ◽  
Juan Manuel Peña
Keyword(s):  
Bezier Curves ◽  
Bézier Curves ◽  
Open Problems ◽  
Rational Bézier Curves ◽  
Curves And Surfaces ◽  
Bézier Surfaces ◽  
Bezier Surfaces ◽  
New Formula ◽  
Monotonicity Preserving

AbstractIn this paper we revisit the problem of monotonicity preservation of curves and surfaces and we provide some new proofs and open problems. In particular, we prove a new formula for the derivation of rational Bézier curves. We also deal with the rational monotonicity preservation of rational Bézier surfaces and a related conjecture is presented.

Sign in / Sign up

Export Citation Format

Share Document