Algorithms and Identities for $(q,h)$-Bernstein Polynomials and $(q,h)$-Bézier Curves — A Non-Blossoming Approach
Year: 2016
Author: I. Jegdić, J. Larson, P. Simeonov
Analysis in Theory and Applications, Vol. 32 (2016), Iss. 4 : pp. 373–386
Abstract
We establish several fundamental identities, including recurrence relations, degree elevation formulas, partition of unity and Marsden identity, for quantum Bernstein bases and quantum Bézier curves. We also develop two term recurrence relations for quantum Bernstein bases and recursive evaluation algorithms for quantum Bézier curves. Our proofs use standard mathematical induction and other elementary techniques.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2016.v32.n4.5
Analysis in Theory and Applications, Vol. 32 (2016), Iss. 4 : pp. 373–386
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Bernstein polynomials Bézier curves Marsden's identity recursive evaluation.
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