Rectifying control polygon for planar Pythagorean hodograph curves

DOI10.1016/j.cagd.2017.03.016zbMath1366.65025OpenAlexW2601330339WikidataQ114202345 ScholiaQ114202345MaRDI QIDQ2357717

Soo-Hyun Kim, Hwan Pyo Moon

Publication date: 14 June 2017

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2017.03.016

zbMATH Keywords

Gauss-Legendre quadratureBernstein-Vandermonde matrixPythagorean-hodograph curveBézier control polygonrectifying control polygon

Mathematics Subject Classification ID

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

Related Items (9)

A new method to construct polynomial minimal surfaces ⋮ Controlling extremal Pythagorean hodograph curves by Gauss-Legendre polygons ⋮ \(G^1\) interpolation of \(v\)-asymmetric data with arc-length constraints by Pythagorean-hodograph cubic splines ⋮ Construction of planar quintic Pythagorean-hodograph curves by control-polygon constraints ⋮ Gauss-Legendre polynomial basis for the shape control of polynomial curves ⋮ Shape analysis of planar PH curves with the Gauss-Legendre control polygons ⋮ Singular cases of planar and spatial \(C^1\) Hermite interpolation problems based on quintic Pythagorean-hodograph curves ⋮ Deformation of spatial septic Pythagorean hodograph curves using Gauss-Legendre polygon ⋮ Gauss-Lobatto polygon of Pythagorean hodograph curves

Cites Work

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• Construction and shape analysis of PH quintic Hermite interpolants
• Local modification of Pythagorean-hodograph quintic spline curves using the B-spline form

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