Monotonicity preserving representations of curves and surfaces

• Autores: Jorge Delgado Gracia , Juan Manuel Peña Fernández
• Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 1, Nº. 2, 2016, págs. 517-528
• Idioma: inglés
• DOI: 10.21042/amns.2016.2.00041
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• Resumen

  • 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 B'ezier curves. We also deal with the rational monotonicity preservation of rational B'ezier surfaces and a related conjecture is presented.