Abstract
Finding a polygon to approximate the contour curve with the minimal approximation error ε under the pre-specified number of vertices, is termed min-ε problem. It is an important issue in image analysis and pattern recognition. A discrete version of particle swarm optimization (PSO) algorithm is proposed to solve this problem. In this method, the position of each particle is represented as a binary string which corresponds to an approximating polygon. Many particles form a swarm to fly through the solution space to seek the best one. For those particles which fly out of the feasible region, the traditional split and merge techniques are applied to adjust their position which can not only move the particles from the infeasible solution space to the feasible region, but also relocate it in a better site. The experimental results show that the proposed PSO-based method has the higher performance over the GA-based methods.
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References
Lourakis, M., Halkidis, S., Orphanoudakis, S.: Matching Disparate Views of Planar Surfaces Using Projective Invarians. In: British Matchine Vision Conference, vol. 1, pp. 94–104 (1993)
Attneave, F.: Some informational aspects of visual perception. Psychological review 61, 183–193 (1954)
Yuen, P.C.: Dominant Point Matching Algorithm. Electronic Letters 29, 2023–2024 (1993)
Dunham, J.G.: Optimum Uniform Piecewise Linear Approximation of Planar Curves. IEEE Transactions on Pattern Analysis and Machine Intelligence 8, 67–75 (1986)
Sato, Y.: Piecewise Linear Approxiamtion of Planes by Perimeter Optimization. Pattern Recognition 25, 1535–1543 (1992)
Perez, J.C., Vidal, E.: Optimum Polygonal Approximation of Digitized Curves. Pattern Recognition Letter. 15, 743–750 (1994)
Horng, J.-H.: Improving Fitting Quality of Polygonal Approximation by Using the Dynamic Programming Technique. Pattern Recognition Letter. 23, 1657–1673 (2002)
Sklansky, J., Chasin, R.L., Hansen, B.J.: Minimum Perimeter Polygons of Digitized Silhouettes. IEEE Trans. Computers 23, 1355–1364 (1972)
Williams, C.M.: An Efficient Algorithm for the Piecwise Linear Approximation of Planar Curves. Computer Graphics and Image Processing 8, 286–293 (1978)
Sklansky, J., Gonzalez, v.: Fast Polygonal Approximation of Digitized Curves. Pattern Recognition 12, 327–331 (1980)
Wall, K., Danielsson, P.E.: A Fast Sequential Method for Polygonal Approximation of Digitized Curves. Computer vision, Graphics, and Image Processing 28, 220–227 (1984)
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, 112–122 (1973)
Leu, J.G., Chen, L.: Polygonal Approximation of 2D Shapes through Boundary Merging. Pattern Recgnition Letters 7, 231–238 (1998)
Ray, B.K., Ray, K.S.: A New Split-and-merge Technique for Polygonal Apporximation of Chain Coded Curves. Pattern Recognition Lett. 16, 161–169 (1995)
Teh, H.C., Chin, R.T.: On Detection of Dominant Points on Digital Curves. IEEE Trans. Pattern Anal. Mach. Intell. 11, 859–872 (1991)
Wang, W.W.Y., Detection, M.J.: the Dominant Points by the Curvature-based Polygonal Approximation. CVGIP: Graph. Models Imag. Process 55, 79–88 (1993)
Held, A., Abe, K., Arcelli, C.: Towards a Hierarchical Contour Description via Dominant Point Detection. IEEE Trans. Syst. Man Cybern. 24, 942–949 (1994)
Ho, S.-Y., Chen, Y.-C.: An Efficient Evolutionary Algorithm for Accurate Polygonal Approximation. Pattern Recognition 34, 2305–2317 (2001)
Sarkar, B., Singh, L.K., Sarkar, D.: A Genetic Algorithm-based Approach for Detection of Significant Vertices for Polygonal Approximation of Digital Curves. International Journal of Image and Graphics 4, 223–239 (2004)
Yin, P.Y.: Ant Colony Search Algorithms for Optimal Polygonal Approximation of Plane Curves. Pattern Recognition 36, 1783–1997 (2003)
Eberhart, R.C., Kennedy, J.: A New Optimizer Using Particle Swarm Theory. In: Proc. 6th Symp. Micro Machine and Human Science, Nagoya, Japan, pp. 39–43 (1995)
Rosin, P.L.: Techniques for Assessing Polygonal Approximations of Curves. IEEE Transactions on Pattern Analysis and Machine Intelligence 19, 659–666 (1997)
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Wang, B., Shi, C., Li, J. (2008). A PSO-Based Method for Min-ε Approximation of Closed Contour Curves. In: Sun, F., Zhang, J., Tan, Y., Cao, J., Yu, W. (eds) Advances in Neural Networks - ISNN 2008. ISNN 2008. Lecture Notes in Computer Science, vol 5263. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87732-5_98
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DOI: https://doi.org/10.1007/978-3-540-87732-5_98
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