Improvements in Edge Detection Based on Mathematical Morphology and Wavelet Transform using Fuzzy Rules

In this paper, an improved edge detection algorithm based on fuzzy combination of mathematical morphology and wavelet transform is proposed. The combined method is proposed to overcome the limitation of wavelet based edge detection and mathematical morphology based edge detection in noisy images. Experimental results show superiority of the proposed method, as compared to the traditional Prewitt, wavelet based and morphology based edge detection methods. The proposed method is an effective edge detection method for noisy image and keeps clear and continuous edges.

Authors:

• Masrour Dowlatabadi
• Jalil Shirazi

Keywords:

• Edge detection
• Wavelet transform
• Mathematical morphology
• Fuzzy logic.

References:

[1] S. Wang, F. Ge, T. Liu, "Evaluating Edge Detection through
Boundary Detection", Department of Computer Science and
Engineering, Univercity of south Carolina,Columbia, Usa, 2006.
[2] M. Zhao, A. M .N .Fu, H. Yan, "a technique of three Level
Thresholding Based on Probablity Partition an Fuzzy 3-Partition",
IEEE Trans on Fuzzy System,vol.9, no.3, pp.469-479, June 2001.
[3] L. R. Liang, C. G. Looney, "Competitive fuzzy edge detection",
Applied Soft Computing, January 2003.
[4] O. Mendoza, P. Melin, G Lice, " A new method for edge detection in
simage processing using interval Type-2 fuzzy logic", IEEE
International Conference on Granular Computing, 2007.
[5] S. Mallat, "A theory for multi-resolution signal decomposition ",IEEE
Trans.Pattern Anal Machine intell,vol.11, pp.674-693, July 1998.
[6] S. Mallat, "Characterization of signals from Multiscale
dges,"IEEE.Trans. Patt .Anal. Machine intell., vol.PAMI-14, pp.710-
732, 1992.
[7] Y. Xu et al, " Wavelet transform domain filter: a spatially selective noise
filtration technique", IEEE Trans on image processing, vol..3, pp.747-
758, 1994.
[8] L. Zhang and P. Bao, "Edge detection by scale multiplication in wavelet
domain", Pattern Recognition Letters, vol. 23, no.14, December 2002,
pp. 1771-1784.
[9] J.Serra,, "image analysis and mathematical morphology", Academic
Press, New York, 1982.
[10] W. zhang, J, Kang, "Edge detection based on fusion of wavelet
transform and mathematical morphology", IEEE, 2009.
[11] Z. qian, G. hua, C. cheng, "Medical image edge detection base on
mathematical morphology", Proceedings of the IEEE Engineering in
medicine and biology 27th Annual conference Shanghai, china,
September 1-4, 2005.