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A Multiple Threshold Selection Algorithm Based on Maximum Fuzzy Entropy for the Final Inspection of Flip Chip BGA  

김경범 (국립충주대학교 기계설계학과)
Publication Information
Abstract
Quality control is essential to the final product in BGA-type PCB fabrication. So, many automatic vision systems have been developed to achieve speedy, low cost and high quality inspection. A multiple threshold selection algorithm is a very important technique for machine vision based inspection. In this paper, an inspected image is modeled by using fuzzy sets and then the parameters of specified membership functions are estimated to be in maximum fuzzy entropy with the probability of the fuzzy sets, using the exhausted search method. Fuzzy c-partitions with the estimated parameters are automatically generated, and then multiple thresholds are selected as the crossover points of the fuzzy sets that form the estimated fuzzy partitions. Several experiments related to flip chip BGA images show that the proposed algorithm outperforms previous ones using both entropy and variance, and also can be successfully applied to AVI systems.
Keywords
Crossover points; Fuzzy set; Fuzzy c-partition; Maximum fuzzy entropy; Membership function; Multiple threshold;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 Lin, C. S. and Lue, L. W., 'An Image System for Fast Positioning and Accuracy Inspection of Ball Grid Array Boards,' Microelectronics Reliability, Vol. 41, pp. 119-128,2001   DOI   ScienceOn
2 Kapur, J. N., Sahoo, P. K. and Wong, A. K. C, 'A New Method for gray Level Picture Thresholding Using the Entropy of the Histogram,' Computer Vision Graphics and Image Processing, Vol. 29, pp. 273-285,1985   DOI
3 Sahoo, P. K., Soltani, S. and Wong, A. K. C, 'A Survey of Thresholding Techniques,' Computer Vision Graphics Image Processing, Vol. 41, pp. 233-260, 1988   DOI
4 Glasbey, C. A., 'An Analysis of Histogram-Based Thresholding Algorithm,' CVGIP: Graphical Models and Image Processing, Vol. 55, pp. 532-537, 1993   DOI   ScienceOn
5 Synder, W., 'Optimal Thresholding - A New Approach,' Pattern Recognition Letters, Vol. 11, pp. 803-810, 1990   DOI   ScienceOn
6 Ostu, N., 'A Threshold Selection Method for Gray-level Histogram,' IEEE Transactions on System Man Cybernetics, Vol. 9, pp. 62-66, 1979   DOI   ScienceOn
7 Pun, T., 'Entropic Thresholding: A New Approach,' Computer Vision Graphics and Image Processing, Vol. 16, pp. 210-239, 1981   DOI
8 Kim, G. B. and Chung, S. C, 'Selection Method of Multiple Threshold Based on Probability Distribution Function Using Fuzzy Clustering,' Korean Society of Precision Engineering, Vol. 16, No. 5, pp. 48-57, 1999
9 Li, C. H. and Lee, C. K., 'Minimum Cross Entropy Thresholding,' Pattern Recognition, Vol. 26, pp. 617-625,1993   DOI   ScienceOn