Fairing of planar curves to log-aesthetic curves
Numerical Analysis
2022-06-02 v1 Computational Geometry
Graphics
Numerical Analysis
Abstract
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 a method of parametric approximation based on this fact. This work aims to provide tools to be used in reverse engineering for computer aided geometric design. Finally, we show an example of usage by applying this algorithm to the point data obtained from 3D scanning a car's roof.
Keywords
Cite
@article{arxiv.2206.00235,
title = {Fairing of planar curves to log-aesthetic curves},
author = {Sebastián Elías Graiff Zurita and Kenji Kajiwara and Kenjiro T. Miura},
journal= {arXiv preprint arXiv:2206.00235},
year = {2022}
}