Singular cases of planar and spatial \(C^1\) Hermite interpolation problems based on quintic Pythagorean-hodograph curves
From MaRDI portal
Publication:2005172
DOI10.1016/j.cagd.2020.101930zbMath1450.65006OpenAlexW3088122561WikidataQ114202303 ScholiaQ114202303MaRDI QIDQ2005172
Kai Hormann, Federico Nudo, Rida T. Farouki
Publication date: 7 October 2020
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cagd.2020.101930
Related Items (5)
Construction of \(G^2\) planar Hermite interpolants with prescribed arc lengths ⋮ Optimal interpolation with spatial rational Pythagorean hodograph curves ⋮ New algebraic and geometric characterizations of planar quintic Pythagorean-hodograph curves ⋮ Spatial quintic Pythagorean-hodograph interpolants to first-order Hermite data and Frenet frames ⋮ \(C^d\) Hermite interpolations with spatial Pythagorean hodograph B-splines
Cites Work
- Algebraic-trigonometric Pythagorean-hodograph curves and their use for Hermite interpolation
- Rational Pythagorean-hodograph space curves
- Rational curves and surfaces with rational offsets
- Identification of spatial PH quintic Hermite interpolants with near-optimal shape measures
- Topological criterion for selection of quintic pythagorean-hodograph Hermite interpolants
- Pythagorean-hodograph curves. Algebra and geometry inseparable
- The conformal map \(z\to z^ 2\) of the hodograph plane
- Characterization and construction of helical polynomial space curves.
- Clifford algebra, spin representation, and rational parameterization of curves and surfaces
- Hermite interpolation by rotation-invariant spatial Pythagorean-hodograph curves
- Construction of \(G^1\) planar Hermite interpolants with prescribed arc lengths
- A new selection scheme for spatial Pythagorean hodograph quintic Hermite interpolants
- New developments in theory, algorithms, and applications for Pythagorean-hodograph curves
- Rectifying control polygon for planar Pythagorean hodograph curves
- Algebraic-trigonometric Pythagorean-hodograph space curves
- Hermite Interpolation by Pythagorean Hodograph Quintics
- Construction and shape analysis of PH quintic Hermite interpolants
- Unnamed Item
This page was built for publication: Singular cases of planar and spatial \(C^1\) Hermite interpolation problems based on quintic Pythagorean-hodograph curves
