Homogeneous bounding boxes as tools for intersection algorithms of rational bézier curves and surfaces

1996 ◽  
Vol 12 (4) ◽  
pp. 202-214 ◽  
Author(s):  
Atsushi Yamada ◽  
Fujio Yamaguchi
Keyword(s):  
Bezier Curves ◽  
Bézier Curves ◽  
Rational Bézier Curves ◽  
Curves And Surfaces ◽  
Bounding Boxes

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.

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