Abstract
A hybrid genetic algorithm combined with split and merge techniques (SMGA) is proposed for two types of polygonal approximation of digital curve, i.e. Min-# problem and Min-ε Problem. Its main idea is that two classical methods—split and merge techniques are applied to repair infeasible solutions. In this scheme, an infeasible solution can not only be repaired rapidly, but also be pushed to a local optimal location in the solution space. In addition, unlike the existing genetic algorithms which can only solve one type of polygonal approximation problem, SMGA can solve two types of polygonal approximation problems. The experimental results demonstrate that SMGA is robust and outperforms other existing GA-based methods.
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References
Yin, P.Y.: Genetic Algorithms for Polygonal Approximation of Digital Curves. Int. J. Pattern Recognition Artif. Intell. 13 (1999) 1–22
Sklansky, J., Gonzalez, V.: Fast Polygonal Approximation of Digitized Curves. Pattern Recognition. 12 (1980) 327–331
Douglas, D.H., Peucker, T.K.: Algorithm for the Reduction of the Number of Points Required to Represent a Line or Its Caricature. The Canadian Cartographer. 12(2) (1973) 112–122
Leu, J.G., Chen, L.: Polygonal Approximation of 2D Shapes through Boundary Merging. Pattern Recgnition Letters. 7(4) (1988) 231–238
Ray, B.K., Ray, K.S.: A New Split-and-Merge Technique for Polygonal Apporximation of Chain Coded Curves. Pattern Recognition Lett. 16 (1995) 161–169
Teh, H.C., Chin, R.T.: On Detection of Dominant Points on Digital Curves. IEEE Trans Pattern Anal Mach Intell. 11(8) 859–872
Yin, P.Y.: A Tabu Search Approach to the Polygonal Approximation of Digital Curves. Int. J. Pattern Recognition Artif Intell. 14 (2000) 243–255
Yin, P.Y.: A New Method for Polygonal Approximation Using Genetic Algorithms. Pattern Recognition letter. 19 (1998) 1017–1026.
Huang, S.-C., Sun, Y.-N.: Polygonal Approximation Using Genetic Algorithms. Pattern Recognition. 32 (1999) 1409–1420
Sun, Y.-N., Huang, S.-C.: Genetic Algorithms for Error-bounded Polygonal Approximation. Int. J. Pattern Recognition and Artificial Intelligence. 14(3) (2000) 297–314
Ho, S.-Y., Chen, Y.-C.: An Efficient Evolutionary Algorithm for Accurate Polygonal Approximation. Pattern Recognition. 34 (2001) 2305–2317
Yin, P.Y.: Ant Colony Search Algorithms for Optimal Polygonal Approximation of Plane Curves. Pattern Recognition. 36 (2003) 1783–1997
Yin, P.Y.: A Discrete Particle Swarm Algorithm for Optimal Polygonal Approximation of Digital Curves. Journal of Visual Communication and Image Representation. 15 (2004) 241–260
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© 2006 Springer-Verlag Berlin Heidelberg
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Wang, B., Shi, C. (2006). A Hybrid Genetic Algorithm for Two Types of Polygonal Approximation Problems. In: Huang, DS., Li, K., Irwin, G.W. (eds) Intelligent Computing in Signal Processing and Pattern Recognition. Lecture Notes in Control and Information Sciences, vol 345. Springer, Berlin, Heidelberg . https://doi.org/10.1007/978-3-540-37258-5_4
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DOI: https://doi.org/10.1007/978-3-540-37258-5_4
Publisher Name: Springer, Berlin, Heidelberg
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