Note on multi-degree reduction of Bézier curves via modified Jacobi-Bernstein basis transformation

DOI10.1016/j.cam.2016.11.001zbMath1421.65006OpenAlexW2554072536MaRDI QIDQ729848

Xueyan Xiang, Li-Zheng Lu

Publication date: 22 December 2016

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.2016.11.001

zbMATH Keywords

degree reductiongeometric continuityBézier curvemodified Jacobi polynomials

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (1)

Polynomial accelerated iterative approximation for higher order and rational Bézier curves

Cites Work

• Modified Jacobi-Bernstein basis transformation and its application to multi-degree reduction of Bézier curves
• Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials
• Optimal multi-degree reduction of Bézier curves with \(G^2\)-continuity
• Constrained multi-degree reduction with respect to Jacobi norms
• Construction of dual bases
• \(G^{k,l}\)-constrained multi-degree reduction of Bézier curves

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