\(q\)-Bernstein polynomials and Bézier curves
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Publication:1861311
DOI10.1016/S0377-0427(02)00733-1zbMath1014.65015MaRDI QIDQ1861311
Halil Oruç, George M. Phillips
Publication date: 16 March 2003
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Bézier curves\(q\)-Bernstein polynomialsgeneralized Bernstein polynomialsdegree elevation algorithm\(q\)-Bernstein parametric curves
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Cites Work
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- A de Casteljau algorithm for generalized Bernstein polynomials
- Rates of convergence of control polygons
- On the numerical condition of polynomials in Bernstein form
- Corner cutting algorithms for the Bézier representation of free form curves
- The approximation of a totally positive band matrix by a strictly banded totally positive one
- A trinomial analogue of Bailey's lemma and \(N=2\) superconformal invariance
- On the convergence and iterates of \(q\)-Bernstein polynomials
- Shape preserving representations and optimality of the Bernstein basis
- Convergence of subdivision and degree elevation
- Asymptotic convergence of degree-raising
- A generalization of the Bernstein polynomials
- Convexity and generalized Bernstein polynomials
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