Abstract
In this paper, a method for edge detection in digital images based on morphological gradient technique in combination with Choquet integral, and the interval type-2 Choquet integral is proposed. The aggregation operator is used as a method to integrate the four gradients of the edge detector. Simulation results with real images and synthetic images are presented and the results show that the interval type-2 Choquet integral is able to improve the detected edge.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Canny J., A computational approach to edge detection, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 8, no. 2, pp. 679–698, 1986.
Choquet, G. Theory of capacities. Ann. Inst. Fourier, Grenoble 5: 131–295. 1953.
Hua L., Cheng H, and Zhanga M., A high performance edge detector base d on fuzzy inference rules, Journal of Information Sciences, Elsevier Science, Vol. 177, No. 21, pp. 4768-4784, 2007.
Kirsch R., Computer determination of the constituent structure of biological images, Computers and Biomedical Research, vol. 4, pp.315–328, 1971.
Kirsch R., Computer determination of the constituent structure of biological images, Computers and Biomedical Research, vol. 4, pp. 315–328, 1971.
Melin P., Gonzalez C., Bravo D., Gonzalez F., and MartÃnez G., Modular Neural Networks and Fuzzy Sugeno Integral for Pattern Recognition: The case of human face and fingerprint in Hybrid Intelligent Systems
Melin P., Mendoza O., Castillo O., An improved method for edge detection based on interval type-2 fuzzy logic, Expert Systems with Applications, Vol. 37, pp. 8527-8535, 2010.
Melin P., Mendoza O., Castillo O., Face Recognition with an Improved In-terval Type-2 Fuzzy Logic Sugeno Integral and Modular Neural Networks, IEEE Transactions on systems, man, and cybernetics-Part A: systems and humans, vol. 41, no. 5, pp. 1001-1012, 2011.
Mendoza O., Melin P., Licea G., A new method for edge detection in image processing using interval type-2 fuzzy logic, IEEE international conference on granular computing (GRC 2007). CA, USA: Silicon Valley, 2007.
Mendoza O., Melin P., Licea G., Interval type-2 fuzzy logic for edge detec-tion in digital images. International Journal of Intelligent System 24 (11), pp.1115-1134, 2009.
Mendoza O., Melin P., Sugeno Integral for Edge Detection in Digital Im-ages, International Journal of Intelligent Systems, vol. 24, pp. 1115–1133, 2009.
Mikhail Timonin. Robust optimization of the Choquet Integral. Fuzzy Sets and Systems, vol. 213, pp. 27–46, 2013.
Pratt, W.K., Digital Image Processing. John Wiley and Sons, New York, 1978.
Prewitt J. M. S., Object enhancement and extraction, B.S. Lipkin, A. Rosen-feld (Eds.), Picture Analysis and Psychopictorics, Academic Press, New York, NY, pp. 75–149, 1970.
Roberts, L, Machine Perception of 3-D Solids, Optical and Electro-optical Information Processing, MIT Press, 1965.
Sobel I, Camera Models and Perception, Ph.D. thesis, Stanford University, Stanford, CA, 1970.
Sugeno M, Theory of fuzzy integrals and its applications. Thesis Doctoral, Tokyo Institute of Technology, Tokyo, Japan, 1974.
Yanga W., Chena Z., New aggregation operators based on the Choquet Integral and 2-tuple linguistic information. Expert Systems with Applica-tions, vol. 39, num. 3, pp. 2662–2668, 2012.
Zadeh, L.A., Fuzzy Sets. Inf. Control 8, 338-353, 1965.
Zhou L. G., Chen H. Y., Merigó J. M., Gil-Lafuente A. M. Uncertain genera-lized aggregation operators. Expert Systems with Applications, vol. 39, pp. 1105–1117, 2012.
Acknowledgment
We thank the MyDCI program of the Division of Graduate Studies and Research, UABC, Tijuana Institute of Technology, and the financial support provided by our sponsor CONACYT contract grant number: 189350.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
MartÃnez, G.E., Olivia Mendoza, D., Castro, J.R., Melin, P., Castillo, O. (2017). Choquet Integral and Interval Type-2 Fuzzy Choquet Integral for Edge Detection. In: Melin, P., Castillo, O., Kacprzyk, J. (eds) Nature-Inspired Design of Hybrid Intelligent Systems. Studies in Computational Intelligence, vol 667. Springer, Cham. https://doi.org/10.1007/978-3-319-47054-2_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-47054-2_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-47053-5
Online ISBN: 978-3-319-47054-2
eBook Packages: EngineeringEngineering (R0)