Journal
MATHEMATICAL PROBLEMS IN ENGINEERING
Volume 2013, Issue -, Pages -Publisher
HINDAWI LTD
DOI: 10.1155/2013/528215
Keywords
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Funding
- Computer Science National Program of the Spanish Ministry of Economy and Competitiveness [TIN2012-30768]
- Toho University (Funabashi, Japan)
- University of Cantabria (Santander, Spain)
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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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