Generalized B\'{e}zier curves based on Bernstein-Stancu-Chlodowsky type operators
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Publication:6189582
DOI10.5269/bspm.52003OpenAlexW4210932553MaRDI QIDQ6189582
Kejal Khatri, Vishnu Narayan Mishra
Publication date: 8 February 2024
Published in: Boletim da Sociedade Paranaense de Matemática (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5269/bspm.52003
shape parametersBézier curvesdegree elevationde Casteljau algorithmBernstein-Stancu-Chlodowsky-type operators
Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Computer-aided design (modeling of curves and surfaces) (65D17) Approximation by positive operators (41A36)
Cites Work
- Generalized Bézier curves and surfaces based on Lupaş \(q\)-analogue of Bernstein operator
- Bézier curves based on Lupaş \((p,q)\)-analogue of Bernstein functions in CAGD
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- Tensor product \(q\)-Bernstein polynomials
- Algorithms for polynomials in Bernstein form
- Some approximation results by \((p, q)\)-analogue of Bernstein-Stancu operators
- On the \(q\)-derivatives of a certain linear positive operators
- \(q\)-Bernstein polynomials and Bézier curves
- Inverse result in simultaneous approximation by Baskakov-Durrmeyer-Stancu operators
- Generalized Szász-Mirakyan operators involving Brenke type polynomials
- Generalized \(q\)-Bernstein-Schurer operators and some approximation theorems
- On the Lupaş \(q\)-analogue of the Bernstein operator
- Simultaneous approximation by Szász-Mirakjan-Durrmeyer-type operators
- Local and global results for modified Szász-Mirakjan operators
- Tensor Product q −Bernstein Bézier Patches
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