Firefly Algorithm for Explicit B-Spline Curve Fitting to Data Points
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-04
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Gálvez, Akemi& Iglesias, Andrés. 2013. Firefly Algorithm for Explicit B-Spline Curve Fitting to Data Points. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1009725
Modern Language Association (MLA)
Gálvez, Akemi& Iglesias, Andrés. Firefly Algorithm for Explicit B-Spline Curve Fitting to Data Points. Mathematical Problems in Engineering No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-1009725
American Medical Association (AMA)
Gálvez, Akemi& Iglesias, Andrés. Firefly Algorithm for Explicit B-Spline Curve Fitting to Data Points. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1009725
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009725