A quaternion approach to polynomial PN surfaces

DOI10.1016/j.cagd.2016.05.007zbMath1418.65023OpenAlexW2397820324MaRDI QIDQ1634824

Marjeta Krajnc, Vito Vitrih, Jernej Kozak

Publication date: 18 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.2016.05.007

zbMATH Keywords

minimal surfacesquaternionsPythagorean-hodographPythagorean-normal surfaces

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (5)

Smooth surface interpolation using patches with rational offsets ⋮ Hermite interpolation by piecewise polynomial surfaces with polynomial area element ⋮ Spline surfaces with \(C^1\) quintic PH isoparametric curves ⋮ On the construction of polynomial minimal surfaces with Pythagorean normals ⋮ Unnamed Item

Cites Work

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• On a Special Class of Polynomial Surfaces with Pythagorean Normal Vector Fields
• Shape-preserving interpolation by G1 and G2 PH quintic splines
• Hermite Interpolation by Pythagorean Hodograph Quintics

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