Planar Pythagorean-hodograph B-spline curves

DOI10.1016/j.cagd.2017.09.001zbMath1379.65011arXiv1609.07888OpenAlexW2760642785WikidataQ114202340 ScholiaQ114202340MaRDI QIDQ1686342

Carolina Vittoria Beccari, Gudrun Albrecht, Jean-Charles Canonne, Lucia Romani

Publication date: 22 December 2017

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

Full work available at URL: https://arxiv.org/abs/1609.07888

zbMATH Keywords

computer graphicsplane curvereverse engineeringarc-lengthcomputer-aided designoffsetPythagorean-hodographnon-uniform rational B-spline curvesnon-uniform B-spline

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (12)

Algebraic and geometric characterizations of a class of algebraic-hyperbolic Pythagorean-hodograph curves ⋮ Interpolation of \(G^1\) Hermite data by \(C^1\) cubic-like sparse Pythagorean hodograph splines ⋮ Classification of planar Pythagorean hodograph curves ⋮ Spatial Pythagorean-hodograph B-spline curves and 3D point data interpolation ⋮ Construction of Minkowski Pythagorean hodograph B-spline curves ⋮ Partition of the space of planar quintic Pythagorean-hodograph curves ⋮ Unnamed Item ⋮ \( G^2 \slash C^1\) Hermite interpolation by planar PH B-spline curves with shape parameter ⋮ Interpolation of Hermite data by clamped Minkowski Pythagorean hodograph B-spline curves ⋮ \(C^d\) Hermite interpolations with spatial Pythagorean hodograph B-splines ⋮ A new method to design cubic Pythagorean-hodograph spline curves with control polygon ⋮ B-spline Pythagorean hodograph curves in Clifford algebras

Cites Work

• Unnamed Item
• Algebraic-trigonometric Pythagorean-hodograph curves and their use for Hermite interpolation
• A control polygon scheme for design of planar \(C^2\) PH quintic spline curves
• Some identities for product and degree raising of splines
• The conformal map \(z\to z^ 2\) of the hodograph plane
• Construction of \(C^ 2\) Pythagorean-hodograph interpolating splines by the homotopy method
• Identification and ``reverse engineering of Pythagorean-hodograph curves
• Symmetric decmposition of positive definite band matrices
• Hermite Interpolation by Pythagorean Hodograph Quintics
• Pythagorean Triples in Uniquef Factorization Domains
• Efficient solution of the complex quadratic tridiagonal system for \(C^2\) PH quintic splines
• A practical guide to splines.
• Local modification of Pythagorean-hodograph quintic spline curves using the B-spline form

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