Firefly algorithm for explicit B-spline curve fitting to data points
type: Item
instance of: scholarly article
title: Firefly algorithm for explicit B-spline curve fitting to data points
zbMATH Open document ID: 1296.65020
author: Akemi Gálvez
author: Andrés Iglesias
published in: Mathematical Problems in Engineering
publication date: 2014-10-13T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 90C59
zbMATH DE Number: 6354352
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6354352