Table of Contents Author Guidelines Submit a Manuscript
The Scientific World Journal
Volume 2013, Article ID 283919, 10 pages
http://dx.doi.org/10.1155/2013/283919
Research Article

From Nonlinear Optimization to Convex Optimization through Firefly Algorithm and Indirect Approach with Applications to CAD/CAM

1Department of Applied Mathematics and Computational Sciences, E.T.S.I. Caminos, Canales y Puertos, University of Cantabria, Avenida de los Castros s/n, 39005 Santander, Spain
2Department of Information Science, Faculty of Sciences, Toho University, 2-2-1 Miyama, Funabashi 274-8510, Japan

Received 16 August 2013; Accepted 29 September 2013

Academic Editors: Z. Cui and X. Yang

Copyright © 2013 Akemi Gálvez and Andrés Iglesias. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [22 citations]

The following is the list of published articles that have cited the current article.

  • Andres Iglesias, and Akemi Galvez, “Memetic firefly algorithm for data fitting with rational curves,” 2015 IEEE Congress on Evolutionary Computation (CEC), pp. 507–514, . View at Publisher · View at Google Scholar
  • Andres Iglesias, and Akemi Galvez, “Cuckoo search with Lévy flights for reconstruction of outline curves of computer fonts with rational Bézier curves,” 2016 IEEE Congress on Evolutionary Computation (CEC), pp. 2247–2254, . View at Publisher · View at Google Scholar
  • Andres Iglesias, Akemi Galvez, Marta Collantes, Andres Iglesias, Akemi Galvez, and Marta Collantes, “Bat Algorithm for Curve Parameterization in Data Fitting with Polynomial Bézier Curves,” 2015 International Conference on Cyberworlds (CW), pp. 107–114, . View at Publisher · View at Google Scholar
  • Andres Iglesias, Akemi Galvez, and Marta Collantes, “A bat algorithm for polynomial Bèzier surface parameterization from clouds of irregularly sampled data points,” 2015 11th International Conference on Natural Computation (ICNC), pp. 1034–1039, . View at Publisher · View at Google Scholar
  • Andrés Iglesias, Akemi Gálvez, and Carlos Loucera, “A Simulated Annealing Approach for Data Fitting with Bézier Surfaces,” Proceedings of the International Conference on Intelligent Information Processing, Security and Advanced Communication - IPAC '15, pp. 1–6, . View at Publisher · View at Google Scholar
  • Carlos Loucera, Akemi Galvez, Andres Iglesias, Carlos Loucera, Akemi Galvez, and Andres Iglesias, “Simulated annealing algorithm for bezier curve approximation,” Proceedings - 2014 International Conference on Cyberworlds, CW 2014, pp. 182–189, 2014. View at Publisher · View at Google Scholar
  • Akemi Galvez, Andres Iglesias, Andreina Avila, Akemi Galvez, Andres Iglesias, and Andreina Avila, “Applying clonal selection theory to data fitting with rational Bézier curves,” Proceedings - 2014 International Conference on Cyberworlds, CW 2014, pp. 221–228, 2014. View at Publisher · View at Google Scholar
  • Akemi Gálvez, Andrés Iglesias, and Luis Cabellos, “Cuckoo Search with Lévy Flights for Weighted Bayesian Energy Functional Optimization in Global-Support Curve Data Fitting,” The Scientific World Journal, vol. 2014, pp. 1–11, 2014. View at Publisher · View at Google Scholar
  • Andrés Iglesias, and Akemi Gálvez, “Hybrid Functional-Neural Approach for Surface Reconstruction,” Mathematical Problems in Engineering, vol. 2014, pp. 1–13, 2014. View at Publisher · View at Google Scholar
  • Akemi Gálvez, and Andrés Iglesias, “Computer software program for representation and visualization of free-form curves through bio-inspired optimization techniques,” Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 8592, pp. 570–577, 2014. View at Publisher · View at Google Scholar
  • Iztok Fister, Matjaž Perc, Salahuddin M. Kamal, and Iztok Fister, “A review of chaos-based firefly algorithms: Perspectives and research challenges,” Applied Mathematics and Computation, vol. 252, pp. 155–165, 2015. View at Publisher · View at Google Scholar
  • Andrés Iglesias, Akemi Gálvez, and Andreina Avila, “Hybridizing mesh adaptive search algorithm and artificial immune systems for discrete rational Bézier curve approximation,” The Visual Computer, 2015. View at Publisher · View at Google Scholar
  • Andrés Iglesias, and Akemi Gálvez, “Memetic electromagnetism algorithm for finite approximation with rational bézier curves,” Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 9140, pp. 30–40, 2015. View at Publisher · View at Google Scholar
  • Anés Iglesias, Akemi Gálvez, Marta Collantes, Andres Iglesias, Akemi Galvez, and Marta Collantes, “Global-support rational curve method for data approximation with bat algorithm,” IFIP Advances in Information and Communication Technology, vol. 458, pp. 191–205, 2015. View at Publisher · View at Google Scholar
  • Andrés Iglesias, Akemi Gálvez, and Marta Collantes, “Four Adaptive Memetic Bat Algorithm Schemes for Bézier Curve Parameterization,” Transactions on Computational Science XXVIII, vol. 9590, pp. 127–145, 2016. View at Publisher · View at Google Scholar
  • Andrés Iglesias, and Akemi Gálvez, “Memetic electromagnetism algorithm for surface reconstruction with rational bivariate Bernstein basis functions,” Natural Computing, 2016. View at Publisher · View at Google Scholar
  • Andrés Iglesias, and Akemi Gálvez, “Nature-inspired swarm intelligence for data fitting in reverse engineering: Recent advances and future trends,” Studies in Computational Intelligence, vol. 637, pp. 151–175, 2016. View at Publisher · View at Google Scholar
  • Akemi Galvez, and Andres Iglesias, “Particle-based meta-model for continuous breakpoint optimization in smooth local-support curve fitting,” Applied Mathematics And Computation, vol. 275, pp. 195–212, 2016. View at Publisher · View at Google Scholar
  • Akemi Gálvez, and Andrés Iglesias, “New memetic self-Adaptive firefly algorithm for continuous optimization,” International Journal of Bio-Inspired Computation, vol. 8, no. 5, pp. 300–317, 2016. View at Publisher · View at Google Scholar
  • Akemi Gálvez, Marta Collantes, and Andrés Iglesias, “Multilayer embedded bat algorithm for B-spline curve reconstruction,” Integrated Computer-Aided Engineering, vol. 24, no. 4, pp. 385–399, 2017. View at Publisher · View at Google Scholar
  • A. Ebrahimi, and G. Barid Loghmani, “Shape modeling based on specifying the initial B-spline curve and scaled BFGS optimization method,” Multimedia Tools and Applications, vol. 77, no. 23, pp. 30331–30351, 2018. View at Publisher · View at Google Scholar
  • Andrés Iglesias, Akemi Gálvez, and Marta Collantes, “Iterative sequential bat algorithm for free-form rational Bézier surface reconstruction,” International Journal of Bio-Inspired Computation, vol. 11, no. 1, pp. 1–15, 2018. View at Publisher · View at Google Scholar