Firefly Algorithm for Explicit B-Spline Curve Fitting to Data Points

Akemi Gálvez and Andrés Iglesias

Mathematical Problems in Engineering, 2013, vol. 2013, 1-12

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:528215

DOI: 10.1155/2013/528215

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