Two-point \(G^{2}\) Hermite interpolation with spirals by inversion of hyperbola

DOI10.1016/J.CAGD.2010.03.001zbMath1210.65040OpenAlexW1985675424MaRDI QIDQ631046

Alexey I. Kurnosenko

Publication date: 22 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2010.03.001

zbMATH Keywords

rational curvegraphical exampleslensMöbius maprational spiralsconvex spiral arcsinversion of hyperbolanon-convex data

Mathematics Subject Classification ID

Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (3)

Geometric Hermite interpolation by logarithmic arc splines ⋮ Hermite interpolation using Möbius transformations of planar Pythagorean-hodograph cubics ⋮ Family of superspirals with completely monotonic curvature given in terms of Gauss hypergeometric function

Cites Work

• Long spirals
• Applying inversion to construct planar, rational spirals that satisfy two-point \(G^{2}\) Hermite data

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