\(G^{1}\) Hermite interpolation by Minkowski Pythagorean hodograph cubics

DOI10.1016/j.cagd.2006.01.004zbMath1093.41004OpenAlexW2063627407WikidataQ114202413 ScholiaQ114202413MaRDI QIDQ2495953

Bert Jüttler, Jiří Kosinka

Publication date: 30 June 2006

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2006.01.004

zbMATH Keywords

Taylor expansionHermite interpolationMinkowski Pythagorean hodograph curvesspace-like vector

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items (20)

Medial axis transforms yielding rational envelopes ⋮ \(G^1\) Hermite interpolation method for spatial PH curves with PH planar projections ⋮ Partition of the space of planar quintic Pythagorean-hodograph curves ⋮ \(C^{2}\) Hermite interpolation by Minkowski Pythagorean hodograph curves and medial axis transform approximation ⋮ On control polygons of quartic Pythagorean-hodograph curves ⋮ Interactive design of cubic IPH spline curves ⋮ On rational Minkowski Pythagorean hodograph curves ⋮ Identification of two classes of planar septic Pythagorean hodograph curves ⋮ Exploring hypersurfaces with offset-like convolutions ⋮ A unified Pythagorean hodograph approach to the medial axis transform and offset approximation ⋮ 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 ⋮ Reparameterization of Curves and Surfaces with Respect to Their Convolution ⋮ Low Degree Euclidean and Minkowski Pythagorean Hodograph Curves ⋮ On quadratic two-parameter families of spheres and their envelopes ⋮ PN surfaces and their convolutions with rational surfaces ⋮ 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

Cites Work

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• Medial axis transform and offset curves by Minkowski Pythagorean hodograph curves.
• Clifford algebra, spin representation, and rational parameterization of curves and surfaces
• Applications of Laguerre geometry in CAGD
• Minkowski Pythagorean hodographs
• Mathematical theory of medial axis transform
• \(C^1\) Hermite interpolation using MPH quartic
• Clifford algebra, Lorentzian geometry, and rational parametrization of canal surfaces
• Exploiting curvatures to compute the medial axis for domains with smooth boundary
• \(G^{1}\) Hermite interpolation by Minkowski Pythagorean hodograph cubics

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