Article
Monotonicity preserving representations of curves and surfaces
Authors
and
Abstract
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.
Keywords
Monotonicity preservation, axial monotonicity, rational surfaces, rational bilinear patch, shape parameter, shape preservation, 65D17, 68U07
Citation
Delgado, J. & Manuel Peña, J. (2016). Monotonicity preserving representations of curves and surfaces. Applied Mathematics and Nonlinear Sciences, 1(2), 517–528. https://doi.org/10.21042/AMNS.2016.2.00041
J. Delgado and J. Manuel Peña, “Monotonicity preserving representations of curves and surfaces,” Applied Mathematics and Nonlinear Sciences, vol. 1, no. 2, pp. 517–528, 2016, doi: 10.21042/AMNS.2016.2.00041.
Delgado J, Manuel Peña J. Monotonicity preserving representations of curves and surfaces. Applied Mathematics and Nonlinear Sciences. 2016;1(2):517–528. doi:10.21042/AMNS.2016.2.00041.
Delgado, J. and Manuel Peña, J. (2016), ‘Monotonicity preserving representations of curves and surfaces’, Applied Mathematics and Nonlinear Sciences, 1(2), pp. 517–528. Available at: https://doi.org/10.21042/AMNS.2016.2.00041.
Delgado, Jorge, and Juan Manuel Peña. “Monotonicity Preserving Representations of Curves and Surfaces.” Applied Mathematics and Nonlinear Sciences, vol. 1, no. 2, 2016, pp. 517–528. https://doi.org/10.21042/AMNS.2016.2.00041.
Delgado, Jorge, and Juan Manuel Peña. “Monotonicity Preserving Representations of Curves and Surfaces.” Applied Mathematics and Nonlinear Sciences 1, no. 2 (2016): 517–528. https://doi.org/10.21042/AMNS.2016.2.00041.
Export citation
Published by: Engineering Journals
