Abstract
AbstractIn this paper, a curve approximation approach using bio-inspired polar coordinate bald eagle search algorithm (PBES) is proposed. PBES algorithm is inspired by the spiral mechanism of bald eagle during predation. By introducing polar coordinate, the spiral predation process of the bald eagle will become more intuitive, which is more conducive for the algorithm to polar coordinate optimization problems. The initialization stage of PBES algorithm is modified to make the distribution of initialized individuals more uniform and some parameters are introduced to strengthen the exploration and exploitation capabilities of algorithm. The performance of the PBES algorithm is tested in three aspects: polar coordinate transcendental equation, curve approximation and robotic manipulator. The experimental results show that the PBES algorithm is superior to the well-known metaheuristic algorithms as it is effectively applicable for curve approximation problem.
Funder
Natural Science Foundation of China
Program for Young Innovative Research Team in China University of Political Science and Law
Scientific Research and Technology Development Program of Guangxi
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Computational Mathematics,General Computer Science
Reference81 articles.
1. Grossman, S.I.: Polar coordinates. In: Calculus of One Variable, vol. 12, 2nd edn., pp. 608–640. Elsevier, Cambridge (1984)
2. Azzam, R.M.A.: Polar curves for transmission ellipsometry. Opt. Commun. 14(1), 145–147 (1975)
3. Moore, K.C., Paoletti, T., Musgrave, S.: Complexities in students’ construction of the polar coordinate system. J. Math. Behav. 36, 135–149 (2014)
4. Rong, J., Wen, L., Xiao, J.: Efficiency improvement of the polar coordinate transformation for evaluating BEM singular integrals on curved elements. Eng. Anal. Bound. Elem. 38, 83–93 (2014)
5. Mohseni, K., Colonius, T.: Numerical treatment of polar coordinate singularities. J Comput Phys 157(2), 787–795 (2000)
Cited by
8 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献