Investigations on fuzzy thresholding based on fuzzy clustering

Thresholding, the problem of pixel classification is attempted here using fuzzy clustering algorithms. The segmented regions are fuzzy subsets, with soft partitions characterizing the region boundaries. The validity of the assumptions and thresholding schemes are investigated in the presence of distinct region proportions. The hard k means and fuzzy c means algorithms have been found useful when object and background regions are well balanced. Fuzzy thresholding is also formulated as extraction of normal densities to provide optimal partitions. Regional imbalances in gray distributions are taken care of in region normalized histograms.

[1]  N. Otsu A threshold selection method from gray level histograms , 1979 .

[2]  George J. Klir,et al.  Fuzzy sets, uncertainty and information , 1988 .

[3]  James C. Bezdek,et al.  Pattern Recognition with Fuzzy Objective Function Algorithms , 1981, Advanced Applications in Pattern Recognition.

[4]  Andrew K. C. Wong,et al.  A new method for gray-level picture thresholding using the entropy of the histogram , 1985, Comput. Vis. Graph. Image Process..

[5]  Chris A. Glasbey,et al.  An Analysis of Histogram-Based Thresholding Algorithms , 1993, CVGIP Graph. Model. Image Process..

[6]  Wen-Hsiang Tsai,et al.  Moment-preserving thresolding: A new approach , 1985, Comput. Vis. Graph. Image Process..

[7]  C. A. Murthy,et al.  Fuzzy thresholding: mathematical framework, bound functions and weighted moving average technique , 1990, Pattern Recognit. Lett..

[8]  C. V. Jawahar,et al.  Incorporation of gray-level imprecision in representation and processing of digital images , 1996, Pattern Recognit. Lett..

[9]  Wen-Hsiang Tsai,et al.  Moment-preserving thresholding: a new approach , 1995 .

[10]  Joan S. Weszka,et al.  A survey of threshold selection techniques , 1978 .

[11]  P.K Sahoo,et al.  A survey of thresholding techniques , 1988, Comput. Vis. Graph. Image Process..

[12]  Sankar K. Pal,et al.  A review on image segmentation techniques , 1993, Pattern Recognit..

[13]  Mao-Jiun J. Wang,et al.  Image thresholding by minimizing the measures of fuzzines , 1995, Pattern Recognit..

[14]  C. V. Jawahar,et al.  Detection of clusters of distinct geometry: A step towards generalised fuzzy clustering , 1995, Pattern Recognit. Lett..

[15]  T. W. Ridler,et al.  Picture thresholding using an iterative selection method. , 1978 .

[16]  Josef Kittler,et al.  Minimum error thresholding , 1986, Pattern Recognit..

[17]  Azriel Rosenfeld,et al.  Image enhancement and thresholding by optimization of fuzzy compactness , 1988, Pattern Recognit. Lett..

[18]  Sang Uk Lee,et al.  A comparative performance study of several global thresholding techniques for segmentation , 1990, Comput. Vis. Graph. Image Process..