Application of Chebyshev II-Bernstein basis transformations to degree reduction of Bézier curves
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Publication:950073
DOI10.1016/j.cam.2007.10.032zbMath1153.65019OpenAlexW1986288896MaRDI QIDQ950073
Publication date: 22 October 2008
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2007.10.032
complexitycondition numbererror boundsBézier curvesdegree reductionChebyshev polynomials of the second kindbasis transformationsendpoint continuity
Complexity and performance of numerical algorithms (65Y20) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (11)
Approximate multi-degree reduction of Q-Bézier curves via generalized Bernstein polynomial functions ⋮ Modified Jacobi-Bernstein basis transformation and its application to multi-degree reduction of Bézier curves ⋮ An enhanced chimp optimization algorithm for optimal degree reduction of Said-Ball curves ⋮ Approximating tensor product Bézier surfaces with tangent plane continuity ⋮ Bézier form of dual bivariate Bernstein polynomials ⋮ Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials ⋮ Solutions of 2nd-order linear differential equations subject to Dirichlet boundary conditions in a Bernstein polynomial basis ⋮ Explicit \(G^2\)-constrained degree reduction of Bézier curves by quadratic optimization ⋮ Degree reduction of composite Bézier curves ⋮ Approximate multidegree reduction of \(\lambda\)-Bézier curves ⋮ Degree reduction of \(S-\lambda\) curves using a genetic simulated annealing algorithm
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- Degree reduction of Bézier curves
- Degree reduction of Bézier curves
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