Generation of log-aesthetic curves using adaptive Runge-Kutta methods

DOI10.1016/j.amc.2014.08.032zbMath1338.65058OpenAlexW2051641544MaRDI QIDQ295192

Y. M. Teh, R. U. Gobithaasan, Kenjiro Takai Miura, Abd Rahni Mt Piah

Publication date: 17 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.08.032

zbMATH Keywords

Runge-Kuttafair curveslog aesthetic curvemonotonic curvature curves

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (1)

Log-aesthetic curves: similarity geometry, integrable discretization and variational principles

Cites Work

• Unnamed Item
• Analytic parametric equations of log-aesthetic curves in terms of incomplete gamma functions
• Continuous approximate solution of ordinary differential equations and their systems
• Fairing cubic B-spline curves
• The use of Cornu spirals in drawing planar curves of controlled curvature
• A family of embedded Runge-Kutta formulae
• A guided clothoid spline
• Clothoid Spline Transition Spirals

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