Polynomial accelerated iterative approximation for higher order and rational Bézier curves
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Publication:2041218
DOI10.1007/s00025-021-01453-yzbMath1468.42001OpenAlexW3177117465MaRDI QIDQ2041218
Li Zhang, Chengzhi Liu, Lian Yang
Publication date: 16 July 2021
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00025-021-01453-y
rational Bézier curvesdegree reductioncurve approximationadaptive sampling methodpreconditioned progressive approximation
Cites Work
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- The Bernstein polynomial basis: a centennial retrospective
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- Note on multi-degree reduction of Bézier curves via modified Jacobi-Bernstein basis transformation
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- Totally positive bases and progressive iteration approximation
- On the convergence of polynomial approximation of rational functions
- The Chebyshev accelerating method for progressive iterative approximation
- Curvature based sampling of curves and surfaces
- Degree reduction of composite Bézier curves
- Degree reduction of Bézier curves by uniform approximation with endpoint interpolation
- High order approximation of rational curves by polynomial curves
- Constrained polynomial approximation of rational Bézier curves using reparameterization
- Matrix representation for multi-degree reduction of Bézier curves
- On the Runge Example
- Iterative Solution Methods
- Degree reduction of Bézier curves
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