\(C^1\) Hermite interpolation using MPH quartic

DOI10.1016/j.cagd.2003.06.001zbMath1069.41502OpenAlexW2101448698MaRDI QIDQ2388526

Min-Ho Ahn, Gwang Il Kim

Publication date: 14 September 2005

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2003.06.001

zbMATH Keywords

subdivision schemePythagorean hodograph\(C^{1}\) Hermite interpolation\(C^{1/2}\) Hermite interpolationMinkowski Pythagorean Hodograph

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items

First order Hermite interpolation with spherical Pythagorean-hodograph curves ⋮ Construction of Minkowski Pythagorean hodograph B-spline curves ⋮ \(C^{2}\) Hermite interpolation by Minkowski Pythagorean hodograph curves and medial axis transform approximation ⋮ On rational Minkowski Pythagorean hodograph curves ⋮ Circle approximation using LN Bézier curves of even degree and its application ⋮ \(G^{1}\) Hermite interpolation by Minkowski Pythagorean hodograph cubics ⋮ Interpolation of Hermite data by clamped Minkowski Pythagorean hodograph B-spline curves ⋮ Low Degree Euclidean and Minkowski Pythagorean Hodograph Curves ⋮ \(C^1\)-Hermite interpolation with simple planar PH curves by speed reparametrization ⋮ Weierstrass-type approximation theorems with Pythagorean hodograph curves ⋮ Minkowski Pythagorean-hodograph preserving mappings ⋮ \(C^{1}\) Hermite interpolation by Pythagorean hodograph quintics in Minkowski space ⋮ Linear computational approach to interpolations with polynomial Minkowski Pythagorean hodograph curves ⋮ Euclidean and Minkowski Pythagorean hodograph curves over planar cubics ⋮ Algebraic characterization of generic strongly semi-regular rational PH plane curves

Cites Work

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• Retracted: Characterization of Pythagorean curves and Pythagoreanization using a rational transform
• Hermite Interpolation by Pythagorean Hodograph Quintics
• Construction and shape analysis of PH quintic Hermite interpolants

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