1 citations · 2 across the 9 of their papers we have counts for
9 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…
MC-curves and aesthetic measurements for pseudospiral curve segments
Rushan Ziatdinov, Rifkat I. Nabiyev, Kenjiro T. Miura
This article studies families of curves with monotonic curvature function (MC-curves) and their applications in geometric modelling and aesthetic design. Aesthetic analysis and ass…
On the variety of planar spirals and their applications in computer aided design
Rushan Ziatdinov, Kenjiro T. Miura
In this paper we discuss the variety of planar spiral segments and their applications in objects in both the real and artificial world. The discussed curves with monotonic curvatur…
An Improvised Algorithm to Identify The Beauty of A Planar Curve
R. U. Gobithaasan, Jamaludin Md. Ali, Kenjiro T. Miura
An improvised algorithm is proposed based on the work of Yoshimoto and Harada. The improvised algorithm results a graph which is called LDGC or Logarithmic Distribution Graph of Cu…
Variational Formulation of the Log-Aesthetic Surface and Development of Discrete Surface Filters
K. T. Miura, R. Shirahata, S. Agari +2
The log-aesthetic curves include the logarithmic (equiangular) spiral, clothoid, and involute curves. Although most of them are expressed only by an integral form of the tangent ve…
The Logarithmic Curvature Graphs of Generalised Cornu Spirals
R. U. Gobithaasan, J. M. Ali, Kenjiro T. Miura
The Generalized Cornu Spiral (GCS) was first proposed by Ali et al. in 1995 [9]. Due to the monotonocity of its curvature function, the surface generated with GCS segments has been…