<mml:math altimg="si33.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>q</mml:mi></mml:math>-Blossoming: A new approach to algorithms and identities for <mml:math altimg="si34.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>q</mml:mi></mml:math>-Bernstein bases and <mml:math altimg="si35.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>q</mml:mi></mml:math>-Bézier curves-Reference-Cited by-同舟云学术

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q-Blossoming: A new approach to algorithms and identities for q-Bernstein bases and q-Bézier curves

Published:2012-01 Issue:1 Volume:164 Page:77-104
ISSN:0021-9045
Container-title:Journal of Approximation Theory
language:en
Short-container-title:Journal of Approximation Theory

Author:

Simeonov Plamen,Zafiris Vasilis,Goldman Ron

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference22 articles.

1. A generalization of rational Bernstein–Bézier curves;Disibuyuk;BIT,2007

2. Pólya’s urn model and computer aided geometric design;Goldman;SIAM J. Algebr. Discrete Methods,1985

3. Pyramid Algorithms, A Dynamic Programming Approach to Curves and Surfaces for Geometric Modeling;Goldman,2003

4. Recursive polynomial curve schemes and computer-aided geometric design;Goldman;Constr. Approx.,1990

5. Shape parameter deletion for Pólya curves;Goldman;Numer. Algorithms,1991

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1. Subdivision algorithms with modular arithmetic;Computer Aided Geometric Design;2024-02

2. Basic hypergeometric formulas and identities for negative degree q-Bernstein bases;FILOMAT;2024

3. On the uniqueness of the multirational blossom;Computer Aided Geometric Design;2023-12

4. An evaluation algorithm for q-Bézier triangular patches formed by convex combinations;Journal of Computational and Applied Mathematics;2023-08

5. Approximation by λ-Bernstein type operators on triangular domain;Filomat;2023

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