94 citations · 1k across the 59 of their papers we have counts for
59 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…
Fairing of Discrete Planar Curves by Integrable Discrete Analogue of Euler's Elasticae
Sebastian Elias Graiff Zurita, Kenji Kajiwara, Toshitomo Suzuki
We construct a method to fair a given discrete planar curve by using the integrable discrete analogue of Euler's elastica, which is a discrete version of the approximation algorith…
Fairing of Discrete Planar Curves by Discrete Euler's Elasticae
Sebastián Elías Graiff Zurita, Kenji Kajiwara
After characterizing the integrable discrete analogue of the Euler's elastica, we focus our attention on the problem of approximating a given discrete planar curve by an appropriat…
Discrete Power Functions on a Hexagonal Lattice I: Derivation of defining equations from the symmetry of the Garnier System in two variables
Nalini Joshi, Kenji Kajiwara, Tetsu Masuda +1
The discrete power function on the hexagonal lattice proposed by Bobenko et al is considered, whose defining equations consist of three cross-ratio equations and a similarity const…
Linkage Mechanisms Governed by Integrable Deformations of Discrete Space Curves
Shizuo Kaji, Kenji Kajiwara, Hyeongki Park
A linkage mechanism consists of rigid bodies assembled by joints which can be used to translate and transfer motion from one form in one place to another. In this paper, we are par…
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…