Dual representation of spatial rational Pythagorean-hodograph curves

DOI10.1016/j.cagd.2013.12.001zbMath1284.65034OpenAlexW2016704374WikidataQ114202365 ScholiaQ114202365MaRDI QIDQ2443083

Vito Vitrih, Marjeta Krajnc, Jernej Kozak

Publication date: 4 April 2014

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2013.12.001

zbMATH Keywords

rational curvesFrenet framequaternionsPythagorean-hodographdual parametric curve form

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (9)

\(G^1\) interpolation by rational cubic PH curves in \(\mathbb R^3\) ⋮ A quaternion approach to polynomial PN surfaces ⋮ Interpolation with spatial rational Pythagorean-hodograph curves of class 4 ⋮ Partition of the space of planar quintic Pythagorean-hodograph curves ⋮ Optimal interpolation with spatial rational Pythagorean hodograph curves ⋮ Partial fraction decomposition for rational Pythagorean hodograph curves ⋮ Parametric curves with Pythagorean binormal ⋮ Rational rotation-minimizing frames -- recent advances and open problems ⋮ Rational framing motions and spatial rational Pythagorean hodograph curves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rational Pythagorean-hodograph space curves
• Rational curves and surfaces with rational offsets
• Pythagorean-hodograph curves. Algebra and geometry inseparable
• The conformal map \(z\to z^ 2\) of the hodograph plane
• Clifford algebra, spin representation, and rational parameterization of curves and surfaces
• Curve design with rational Pythagorean-hodograph curves

This page was built for publication: Dual representation of spatial rational Pythagorean-hodograph curves