A generalization of rational Bernstein-Bézier curves
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Publication:996798
DOI10.1007/s10543-006-0111-yzbMath1118.65010OpenAlexW2005279427MaRDI QIDQ996798
Publication date: 19 July 2007
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10543-006-0111-y
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Cites Work
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- A de Casteljau algorithm for generalized Bernstein polynomials
- LU factorization of the Vandermonde matrix and its applications
- Interpolation and approximation by polynomials
- \(q\)-Bernstein polynomials and Bézier curves
- Symmetric functions and the Vandermonde matrix
- Convergence of subdivision and degree elevation
- A generalization of the Bernstein polynomials
- Convexity and generalized Bernstein polynomials
- Generalized Bernstein polynomials