Fuzzy edge detection based on pixel's gradient and standard deviation values

This paper presents a new fuzzy based edge detection algorithm. Each different edge detection method has its own advantages and disadvantages. For example each method detects part of real edges and also some unreal edges. To reduce this effect we have used two different source of information and a fuzzy system to decide about whether each pixel is edge or not. First both gradient and standard deviation values are computed, form two set of edges, utilized as inputs for our fuzzy system. Then fuzzy system decides on each pixel according to fuzzy rules. Finally we have compared results of the proposed algorithm with other algorithms such as Sobel, Robert, and Prewitt. Experimental results show the ability and high performance of proposed algorithm.

[1]  Eghbal G. Mansoori,et al.  Heuristic edge detection using fuzzy rule-based classifier , 2006, J. Intell. Fuzzy Syst..

[2]  K. F. Cheung,et al.  Fuzzy one-mean algorithm on edge detection , 1995, Proceedings of 1995 IEEE International Conference on Fuzzy Systems..

[3]  Shu Yang,et al.  An edge detection method by combining fuzzy logic and neural network , 2005, 2005 International Conference on Machine Learning and Cybernetics.

[4]  John F. Canny,et al.  A Computational Approach to Edge Detection , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[5]  Carl G. Looney,et al.  Nonlinear Rule-based Convolution for Refocusing , 2000, Real Time Imaging.

[6]  Lily R. Liang,et al.  Competitive fuzzy edge detection , 2003, Appl. Soft Comput..

[7]  Scott T. Acton,et al.  Morphological pyramids for multiscale edge detection , 1998, 1998 IEEE Southwest Symposium on Image Analysis and Interpretation (Cat. No.98EX165).

[8]  Hong Yan,et al.  A technique of three-level thresholding based on probability partition and fuzzy 3-partition , 2001, IEEE Trans. Fuzzy Syst..

[9]  Hazem Tawfik,et al.  Handoff algorithms based on fuzzy classifiers , 2000, IEEE Trans. Veh. Technol..

[10]  Jun Shen,et al.  Neuro-fuzzy synergism to the intelligent system for edge detection and enhancement , 2003, Pattern Recognit..

[11]  S. Sitharama Iyengar,et al.  A New Probabilistic Relaxation Scheme and Its Application to Edge Detection , 1996, IEEE Trans. Pattern Anal. Mach. Intell..

[12]  Fabrizio Russo.  Edge detection in noisy images using fuzzy reasoning , 1998, IEEE Trans. Instrum. Meas..

[13]  Y. Kuo,et al.  A new fuzzy edge detection method for image enhancement , 1997, Proceedings of 6th International Fuzzy Systems Conference.

[14]  Hossein Nezamabadi-pour,et al.  Edge detection using ant algorithms , 2006, Soft Comput..

[15]  Kenneth E. Barner,et al.  Wavelet-based multiresolution edge detection utilizing gray level edge maps , 1998, Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269).

[16]  D Marr,et al.  Theory of edge detection , 1979, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[17]  S. El-Khamy,et al.  A modified fuzzy Sobel edge detector , 2000, Proceedings of the Seventeenth National Radio Science Conference. 17th NRSC'2000 (IEEE Cat. No.00EX396).

[18]  Ling Guan,et al.  A neural learning approach for adaptive image restoration using a fuzzy model-based network architecture , 2001, IEEE Trans. Neural Networks.

[19]  Anil K. Jain.  Fundamentals of Digital Image Processing , 2018, Control of Color Imaging Systems.