\(G^0\) Pythagorean-hodograph curves closest to prescribed planar Bézier curves

DOI10.3770/j.issn:2095-2651.2024.03.011MaRDI QIDQ6583609

Wen-Qing Fei, Yong-Xia Hao

Publication date: 6 August 2024

Published in: Journal of Mathematical Research with Applications (Search for Journal in Brave)

zbMATH Keywords

Lagrange multiplierconstrained optimizationPythagorean-hodograph curvesNewton-Raphson iterationGauss-Legendre polygonGauss-Lobatto polygon

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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• On numerical improvement of Gauss-Lobatto quadrature rules.
• The conformal map \(z\to z^ 2\) of the hodograph plane
• Construction of \(G^1\) planar Hermite interpolants with prescribed arc lengths
• On numerical improvement of Gauss--Legendre quadrature rules
• Deformation of spatial septic Pythagorean hodograph curves using Gauss-Legendre polygon
• Gauss-Lobatto polygon of Pythagorean hodograph curves
• Rectifying control polygon for planar Pythagorean hodograph curves
• Identification and ``reverse engineering of Pythagorean-hodograph curves
• Local modification of Pythagorean-hodograph quintic spline curves using the B-spline form

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