@article{10902/4125,
year = {2013},
url = {http://hdl.handle.net/10902/4125},
abstract = {ABSTRACT. This paper introduces a new method to compute the approximating explicit B-spline curve to a given set of noisy data points.The proposed method computes all parameters of the B-spline fitting curve of a given order.This requires to solve a difficult continuous, multimodal, and multivariate nonlinear least-squares optimization problem. In our approach, this optimization problem is solved by applying the firefly algorithm, a powerful metaheuristic nature-inspired algorithm well suited for optimization. The method has been applied to three illustrative real-world engineering examples from different fields. Our experimental results show that the presented method performs very well, being able to fit the data points with a high degree of accuracy. Furthermore, our scheme outperforms some popular previous approaches in terms of different fitting error criteria.},
organization = {This research has been kindly supported by the Computer
Science National Program of the Spanish Ministry of Economy
and Competitiveness, Project Ref. no. TIN2012-30768,
Toho University (Funabashi, Japan), and the University of
Cantabria (Santander, Spain). The authors are particularly
grateful to the Department of Information Science of Toho
University for all the facilities given to carry out this research
work. Special thanks are owed to the Editor and the anonymous
reviewers for their useful comments and suggestions
that allowed us to improve the final version of this paper.},
publisher = {Hindawi Publishing Corporation},
publisher = {Mathematical Problems in Engineering, 2013, Article ID 528215},
title = {Firefly algorithm for explicit B-spline curve fitting to data points},
author = {Gálvez Tomida, Akemi and Iglesias Prieto, Andrés},
}