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

DOI10.1016/j.cagd.2023.102233arXiv1808.03104OpenAlexW2887432090MaRDI QIDQ6178766

Kenji Kajiwara, Yoshiki Jikumaru, Jun-Ichi Inoguchi, Wolfgang K. Schief, Kenjiro Takai Miura

Publication date: 5 September 2023

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

Full work available at URL: https://arxiv.org/abs/1808.03104

zbMATH Keywords

variational principleBurgers equationintegrable discretizationsimilarity geometrylog-aesthetic curvesgeneration of curve

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx)

Cites Work

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• Log-aesthetic curves for shape completion problem
• Isogonal deformation of discrete plane curves and discrete Burgers hierarchy
• Aesthetic Design with Log-Aesthetic Curves and Surfaces
• Attractive Plane Curves in Differential Geometry
• Log-aesthetic curves and Riccati equations from the viewpoint of similarity geometry
• Generalization of log-aesthetic curves by Hamiltonian formalism
• Analytical properties of ultradiscrete Burgers equation and rule-184 cellular automaton
• Integrable equations arising from motions of plane curves

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