Monotonicity preserving representations of curves and surfaces
und
03. Nov. 2016
Über diesen Artikel
Online veröffentlicht: 03. Nov. 2016
Seitenbereich: 517 - 528
Eingereicht: 11. Sept. 2016
Akzeptiert: 03. Nov. 2016
DOI: https://doi.org/10.21042/AMNS.2016.2.00041
Schlüsselwörter
© 2016 Jorge Delgado, Juan Manuel Peña, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
In 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.