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

Author:

Inoguchi Jun-ichi,Kajiwara KenjiORCID,Miura Kenjiro T.,Sato Masayuki,Schief Wolfgang K.,Shimizu Yasuhiro

Funder

JSPS

2016 IMI Joint Use Program

2015 IMI Joint Use Program

Publisher

Elsevier BV

Subject

Computer Graphics and Computer-Aided Design,Aerospace Engineering,Automotive Engineering,Modeling and Simulation

Reference18 articles.

1. Reductions for constrained variational problems and ∫κ2/2ds;Bryant;Am. J. Math.,1986

2. On similarity-invariant fairness measures;Brook,2005

3. Integrable equations arising from motions of plane curves;Chou;Phys. D,2002

4. Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes; Additamentum I: de curvis elasticis, Lausanne and Geneva;Euler,1744

5. Leonhard Euler's elastic curves;Oldfather;Isis,1933

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