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

Log-aesthetic curves as similarity geometric analogue of Euler's elasticae

(2018) Jun-ichi Inoguchi et al.   COMPUTER AIDED GEOMETRIC DESIGN

Generalization of log-aesthetic curves via similarity geometry

(2018) Jun-ichi Inoguchi et al.   JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS

Quintic polynomial approximation of log-aesthetic curves by curvature deviation

(2016) Lizheng Lu et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Log-Aesthetic Magnetic Curves and Their Application for CAD Systems

(2014) Mei Seen Wo et al.   MATHEMATICAL PROBLEMS IN ENGINEERING

Log-Aesthetic Curves for Shape Completion Problem

(2014) R. U. Gobithaasan et al.   Journal of Applied Mathematics

Analytic parametric equations of log-aesthetic curves in terms of incomplete gamma functions

(2011) Rushan Ziatdinov et al.   COMPUTER AIDED GEOMETRIC DESIGN