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A weighted extremal problem for the Bézier curves of degree \(n\) with Jacobi densities

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Publication:2442966
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DOI10.2478/v10065-008-0021-5zbMath1284.65036OpenAlexW1986887392MaRDI QIDQ2442966

Przemysław Rutka, Ryszard Smarzewski

Publication date: 2 April 2014

Published in: Annales Universitatis Mariae Curie-Skłodowska. Sectio A1. Informatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/v10065-008-0021-5


Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)




Cites Work

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  • An isoperimetric type problem for Bézier curves of degree \(n\)
  • The weighted dual functionals for the univariate Bernstein basis
  • Algorithms for polynomials in Bernstein form
  • The dual basis functions for the Bernstein polynomials
  • Blaschke-Süss type theorems for closed plane curves
  • On the isoperimetric problem in Euclidean space with density
  • Class A Bézier curves
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