Firefly algorithm for explicit B-spline curve fitting to data points
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Identificadores
URI: http://hdl.handle.net/10902/4125DOI: 10.1155/2013/528215
ISSN: 1024-123X
ISSN: 1563-5147
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2013Derechos
Atribución 3.0 España
Publicado en
Mathematical Problems in Engineering, 2013, Article ID 528215
Publisher
Hindawi Publishing Corporation
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.
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