Interpolation with spatial rational Pythagorean-hodograph curves of class 4
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Publication:1680954
DOI10.1016/j.cagd.2017.07.001zbMath1377.65023OpenAlexW2736994018WikidataQ114202341 ScholiaQ114202341MaRDI QIDQ1680954
Publication date: 17 November 2017
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cagd.2017.07.001
numerical examplesarc-lengthgeometric interpolationquaternion polynomialsdual coordinatesrational Pythagorean-hodograph curves
Related Items (11)
A new method to construct polynomial minimal surfaces ⋮ Construction of \(G^2\) planar Hermite interpolants with prescribed arc lengths ⋮ \( C^1\) and \(G^1\) continuous rational motions using a conformal geometric algebra ⋮ Interpolation with spatial rational Pythagorean-hodograph curves of class 4 ⋮ Optimal interpolation with spatial rational Pythagorean hodograph curves ⋮ On \(G^1\) and \(G^2\) Hermite interpolation by spatial algebraic-trigonometric Pythagorean hodograph curves with polynomial parametric speed ⋮ Partial fraction decomposition for rational Pythagorean hodograph curves ⋮ \(G^{1}\) motion interpolation using cubic PH biarcs with prescribed length ⋮ Existence of Pythagorean-hodograph quintic interpolants to spatial \(G^1\) Hermite data with prescribed arc lengths ⋮ Unnamed Item ⋮ Rational framing motions and spatial rational Pythagorean hodograph curves
Cites Work
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- Solvability of \(G^{1}\) Hermite interpolation by spatial Pythagorean-hodograph cubics and its selection scheme
- Rational Pythagorean-hodograph space curves
- Rational curves and surfaces with rational offsets
- An approach to geometric interpolation by Pythagorean-hodograph curves
- Parametric curves with Pythagorean binormal
- Pythagorean-hodograph curves. Algebra and geometry inseparable
- Curves with rational Frenet-Serret motion
- Cubic Pythagorean hodograph spline curves and applications to sweep surface modeling.
- Hermite interpolation by rotation-invariant spatial Pythagorean-hodograph curves
- \(G^1\) interpolation by rational cubic PH curves in \(\mathbb R^3\)
- Construction of \(G^1\) planar Hermite interpolants with prescribed arc lengths
- Interpolation with spatial rational Pythagorean-hodograph curves of class 4
- Geometric Hermite interpolation by spatial Pythagorean-hodograph cubics
- Dual representation of spatial rational Pythagorean-hodograph curves
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