\( G^2 \slash C^1\) Hermite interpolation by planar PH B-spline curves with shape parameter

DOI10.1016/j.aml.2021.107452OpenAlexW3168196438MaRDI QIDQ2235037

Carolina Vittoria Beccari, Gudrun Albrecht, Lucia Romani

Publication date: 19 October 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107452

zbMATH Keywords

Hermite interpolationshape parameterPythagorean-hodographplanar B-spline curve

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer science aspects of computer-aided design (68U07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (1)

Arc length preserving \(G^2\) Hermite interpolation of circular arcs

Cites Work

• Unnamed Item
• Algebraic-trigonometric Pythagorean-hodograph curves and their use for Hermite interpolation
• \(G^2\) curve design with a pair of pythagorean hodograph quintic spiral segments
• The elastic bending energy of Pythagorean-hodograph curves
• Planar Pythagorean-hodograph B-spline curves
• Planar \(C^1\) Hermite interpolation with uniform and non-uniform TC-biarcs
• \(C^d\) Hermite interpolations with spatial Pythagorean hodograph B-splines
• \(C^1\) Hermite interpolation with spatial Pythagorean-hodograph cubic biarcs
• \(C^2\) Hermite interpolation by Pythagorean-hodograph quintic triarcs
• Hermite interpolation by Pythagorean hodograph curves of degree seven
• HERMITE INTERPOLATION USING PH CURVES WITH UNDETERMINED JUNCTION POINTS
• On interpolation by Planar cubic $G^2$ pythagorean-hodograph spline curves
• Hermite Interpolation by Pythagorean Hodograph Quintics
• Interpolation by $G^2$ Quintic Pythagorean-Hodograph Curves

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