Visualization and analysis of regions of monotonic curvature for interpolating segments of extended sectrices of Maclaurin

DOI10.1016/j.cagd.2017.06.003zbMath1377.65024OpenAlexW2738715485MaRDI QIDQ1680955

Norimasa Yoshida, Rushan Ziatdinov, Tae-Wan Kim

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.2017.06.003

zbMATH Keywords

Bézier curve\(G^1\) Hermite interpolationbiangular coordinatesaesthetic curveextended sectrix of MaclaurinMC-curveregions of monotonic curvature

Mathematics Subject Classification ID

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

Cites Work

• Analytic parametric equations of log-aesthetic curves in terms of incomplete gamma functions
• Family of superspirals with completely monotonic curvature given in terms of Gauss hypergeometric function
• A guided clothoid spline
• Controlling the curvature of a quadratic Bézier curve
• Approximation of logarithmic spirals
• Two-point \(G^1\) Hermite interpolation in biangular coordinates
• Interpolation with cubic spirals
• Class A Bézier curves
• Biangular Coordinates Redux: Discovering a New Kind of Geometry
• Shape analysis of generalized log-aesthetic curves

This page was built for publication: Visualization and analysis of regions of monotonic curvature for interpolating segments of extended sectrices of Maclaurin