Multi-degree reduction of disk Bézier curves with \(G^{0}\)- and \(G^{1}\)-continuity

DOI10.1186/S13660-015-0833-YzbMath1351.49058OpenAlexW2136187388WikidataQ59429047 ScholiaQ59429047MaRDI QIDQ262550

Abedallah Rababah, Yusuf Fatihu Hamza

Publication date: 30 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0833-y

zbMATH Keywords

degree reduction\(G^{0}\)-continuity\(G^{1}\)-continuitydisk Bézier curveserror minimization

Mathematics Subject Classification ID

Manifolds and measure-geometric topics (49Q99)

Cites Work

• Unnamed Item
• The Bernstein polynomial basis: a centennial retrospective
• Iterative process for \(G^{2}\)-multi degree reduction of Bézier curves
• Degree reduction of interval Bézier curves
• The geometry of optimal degree reduction of Bézier curves
• High order approximation method for curves
• High accuracy Hermite approximation for space curves in \(\mathbb {R}^d\)
• Chebyshev economization for parametric surfaces
• A simple matrix form for degree reduction of Bézier curves using Chebyshev-Bernstein basis transformations
• Disk Bézier curves
• Distance for degree raising and reduction of triangular Bézier surfaces
• Degree reduction of Bézier curves by uniform approximation with endpoint interpolation
• Degree reduction of disk Bézier curves
• Taylor Theorem for Planar Curves
• On the optimal stability of the Bernstein basis
• Multiple Degree Reduction and Elevation of Bézier Curves Using Jacobi–Bernstein Basis Transformations

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