Abstract
In this paper a comparative analysis of several edge detectors based on diverse fuzzy morphologies is performed. In addition, two different processes in order to transform a fuzzy edge image to a thin binary edge image are studied, a recently introduced unsupervised hysteresis based on the determination of a “instability zone” on the histogram and a fuzzy Atanassov’s based threshold. The comparison is made according to some performance measures, such as Pratt’s figure of merit and the ρ-coefficient. The goodness of the employed binarization methods is studied depending on their capability to obtain the best threshold values according to these measures.
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References
Bloch, I., Maître, H.: Fuzzy mathematical morphologies: a comparative study. Pattern Recognition 28, 1341–1387 (1995)
Bodenhofer, U.: A unified framework of opening and closure operators with respect to arbitrary fuzzy relations. Soft Computing 7, 220–227 (2003)
Bowyer, K., Kranenburg, C., Dougherty, S.: Edge detector evaluation using empirical ROC curves. Computer Vision and Pattern Recognition 1, 354–359 (1999)
Bustince, H., Barrenechea, E., Pagola, M., Fernandez, J.: Interval-valued fuzzy sets constructed from matrices: Application to edge detection. Fuzzy Sets and Systems 160(13), 1819–1840 (2009)
Canny, J.: A computational approach to edge detection. IEEE Trans. Pattern Anal. Mach. Intell. 8(6), 679–698 (1986)
De Baets, B.: Fuzzy morphology: A logical approach. In: Ayyub, B.M., Gupta, M.M. (eds.) Uncertainty Analysis in Engineering and Science: Fuzzy Logic, Statistics, and Neural Network Approach, pp. 53–68. Kluwer Academic Publishers, Norwell (1997)
De Baets, B., Kerre, E., Gupta, M.: The fundamentals of fuzzy mathematical morfologies part I: basics concepts. International Journal of General Systems 23, 155–171 (1995)
González-Hidalgo, M., Massanet, S.: Closing and opening based on discrete t-norms. Applications to Natural Image Analysis. Accepted in EUSFLAT-LFA 2011 (2011)
González-Hidalgo, M., Massanet, S.: Towards an objective edge detection algorithm based on discrete t-norms. Accepted in EUSFLAT-LFA 2011 (2011)
González-Hidalgo, M., Massanet, S., Torrens, J.: Discrete t-norms in a fuzzy mathematical morphology: Algebraic properties and experimental results. In: Proceedings of WCCI-FUZZ-IEEE, Barcelona, Spain, pp. 1194–1201 (2010)
González-Hidalgo, M., Mir-Torres, A., Ruiz-Aguilera, D., Torrens, J.: Edge-images using a uninorm-based fuzzy mathematical morphology: Opening and closing. In: Tavares, J., Jorge, N. (eds.) Advances in Computational Vision and Medical Image Processing, Computational Methods in Applied Sciences. ch. 8, vol. 13, pp. 137–157. Springer, Netherlands (2009)
González-Hidalgo, M., Mir-Torres, A., Ruiz-Aguilera, D., Torrens, J.: Image analysis applications of morphological operators based on uninorms. In: Proceedings of the IFSA-EUSFLAT 2009 Conference, Lisbon, Portugal, pp. 630–635 (2009)
Grigorescu, C., Petkov, N., Westenberg, M.A.: Contour detection based on nonclassical receptive field inhibition. IEEE Transactions on Image Processing 12(7), 729–739 (2003)
Kovesi, P.D.: MATLAB and Octave functions for computer vision and image processing. Centre for Exploration Targeting, School of Earth and Environment, The University of Western Australia, http://www.csse.uwa.edu.au/~pk/research/matlabfns/
Medina-Carnicer, R., Muñoz-Salinas, R., Yeguas-Bolivar, E., Diaz-Mas, L.: A novel method to look for the hysteresis thresholds for the Canny edge detector. Pattern Recognition 44(6), 1201–1211 (2011)
Nachtegael, M., Kerre, E.: Classical and fuzzy approaches towards mathematical morphology. In: Kerre, E.E., Nachtegael, M. (eds.) Fuzzy techniques in image processing. ch. 1, vol. (52), pp. 3–57. Physica-Verlag, New York (2000)
Papari, G., Petkov, N.: Edge and line oriented contour detection: State of the art. Image and Vision Computing 29(2-3), 79–103 (2011)
Pratt, W.K.: Digital Image Processing, 4th edn. Wiley Interscience, Hoboken (2007)
Serra, J.: Image analysis and mathematical morphology, vol. 1, 2. Academic Press, London (1982/1988)
Sola, H.B., Tartas, E.B., Pagola, M., Orduna, R.: Image thresholding computation using Atanassov’s intuitionistic fuzzy sets. JACIII 11(2), 187–194 (2007)
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González-Hidalgo, M., Massanet, S., Mir, A. (2011). Objective Comparison of Some Edge Detectors Based on Fuzzy Morphologies. In: Melo-Pinto, P., Couto, P., Serôdio, C., Fodor, J., De Baets, B. (eds) Eurofuse 2011. Advances in Intelligent and Soft Computing, vol 107. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24001-0_36
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DOI: https://doi.org/10.1007/978-3-642-24001-0_36
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