1 citations · 1 across the 2 of their papers we have counts for
4 papers
Fairing of planar curves to log-aesthetic curves
Sebastián Elías Graiff Zurita, Kenji Kajiwara, Kenjiro T. Miura
We present an algorithm to fair a given planar curve by a log-aesthetic curve (LAC). We show how a general LAC segment can be uniquely characterized by seven parameters and present…
On the curvature extrema of special cubic Bézier curves
Kenjiro T. Miura, Péter Salvi
It is proved that special cubic Bézier curves, generated from quadratic curves by the use of a scalar parameter, have at most one local curvature extremum in the parameter…
Log-Aesthetic Curves: Similarity Geometry, Integrable Discretization and Variational Principles
Jun-ichi Inoguchi, Yoshiki Jikumaru, Kenji Kajiwara +2
In this paper, we consider a class of plane curves called log-aesthetic curves and their generalization which are used in computer aided geometric design. We consider these curves…
Log-aesthetic Curves as Similarity Geometric Analogue of Euler's Elasticae
Jun-ichi Inoguchi, Kenji Kajiwara, Kenjiro T. Miura +3
In this paper we consider the log-aesthetic curves and their generalization which are used in CAGD. We consider those curves under similarity geometry and characterize them as stat…