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- W2981902170 abstract "Abstract We introduce the ( q , h )-blossom of bivariate polynomials, and we define the bivariate ( q , h )-Bernstein polynomials and ( q , h )-Bézier surfaces on rectangular domains using the tensor product. Using the ( q , h )-blossom, we construct recursive evaluation algorithms for ( q , h )-Bézier surfaces and we derive a dual functional property, a Marsden identity, and a number of other properties for bivariate ( q , h )-Bernstein polynomials and ( q , h )-Bézier surfaces. We develop a subdivision algorithm for ( q , h )-Bézier surfaces with a geometric rate of convergence. Recursive evaluation algorithms for quantum ( q , h )-partial derivatives of bivariate polynomials are also derived." @default.
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- W2981902170 date "2019-01-01" @default.
- W2981902170 modified "2023-10-14" @default.
- W2981902170 title "Quantum (<i>q</i>,<i>h</i>)-Bézier surfaces based on bivariate (<i>q</i>,<i>h</i>)-blossoming" @default.
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- W2981902170 doi "https://doi.org/10.1515/dema-2019-0029" @default.
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