Monotonicity preserving representations of non-polynomial surfaces |
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| Authors: | E. Mainar,J.M. Peñ a |
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| Affiliation: | a Departamento de Matemáticas, Estadística y Computación, Universidad de Cantabria, 39005 Santander, Spain
b Departamento de Matemática Aplicada, Universidad de Zaragoza, 50009 Zaragoza, Spain |
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| Abstract: | We prove that, in contrast to the case for rational surfaces, some tensor product representations through spaces containing algebraic, trigonometric and hyperbolic polynomials are monotonicity preserving. The surface representations provided in this paper are the only known monotonicity preserving surfaces in addition to the tensor product Bézier and tensor product B-spline surfaces. |
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| Keywords: | 65D17 41A10 42A10 |
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