\(G^1\) interpolation by rational cubic PH curves in \(\mathbb R^3\)

DOI10.1016/j.cagd.2015.12.005zbMath1417.65061OpenAlexW2223998514MaRDI QIDQ1632399

Jernej Kozak, Marjeta Krajnc, Vito Vitrih

Publication date: 14 December 2018

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2015.12.005

zbMATH Keywords

homotopy analysisPythagorean-hodograph\(G^1\) interpolationcubic rational curves

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items (5)

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 ⋮ Rational framing motions and spatial rational Pythagorean hodograph curves

Uses Software

• Mathematica

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
• Pythagorean-hodograph curves. Algebra and geometry inseparable
• Curves with rational Frenet-Serret motion
• Cubic Pythagorean hodograph spline curves and applications to sweep surface modeling.
• Geometric Hermite interpolation by spatial Pythagorean-hodograph cubics
• Curve design with rational Pythagorean-hodograph curves
• Dual representation of spatial rational Pythagorean-hodograph curves

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