Threshold selection based on fuzzy c-partition entropy approach

Abstract Thresholding is an important topic for image processing, pattern recognition and computer vision. Selecting thresholds is a critical issue for many applications. The fuzzy set theory has been successfully applied to many areas, such as control, image processing, pattern recognition, computer vision, medicine, social science, etc. It is generally believed that image processing bears some fuzziness in nature. In this paper, we use the concept of fuzzy c -partition and the maximum fuzzy entropy principle to select threshold values for gray-level images. We have conducted experiments on many images. The experimental results demonstrate that the proposed approach can select the thresholds automatically and effectively, and the resulting images can preserve the main features of the components of the original images very well.

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

[2]  Ken Kuriyama,et al.  Entropy of a finite partition of fuzzy sets , 1983 .

[3]  Heng-Da Cheng,et al.  A neural network for breast cancer detection using fuzzy entropy approach , 1995, Proceedings., International Conference on Image Processing.

[4]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[5]  Sankar K. Pal,et al.  Fuzzy models for pattern recognition , 1992 .

[6]  M L Mendelsohn,et al.  THE ANALYSIS OF CELL IMAGES * , 1966, Annals of the New York Academy of Sciences.

[7]  Lotfi A. Zadeh,et al.  Outline of a New Approach to the Analysis of Complex Systems and Decision Processes , 1973, IEEE Trans. Syst. Man Cybern..

[8]  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..

[9]  James C. Bezdek,et al.  Computing with Uncertainty Combining fuzzy models with computational neural networks often improves computer performance in pattern recognition problems. , 1992 .

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

[11]  Nikos Papamarkos,et al.  A New Approach for Multilevel Threshold Selection , 1994, CVGIP Graph. Model. Image Process..

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

[13]  James C. Bezdek,et al.  Analysis of fuzzy information , 1987 .

[14]  Thierry Pun,et al.  Entropic thresholding, a new approach , 1981 .

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

[16]  George J. Klir,et al.  Fuzzy sets and fuzzy logic - theory and applications , 1995 .

[17]  Azriel Rosenfeld,et al.  Threshold Evaluation Techniques , 1978, IEEE Transactions on Systems, Man, and Cybernetics.

[18]  Sankar K. Pal,et al.  Fuzzy Mathematical Approach to Pattern Recognition , 1986 .

[19]  L. Zadeh Probability measures of Fuzzy events , 1968 .

[20]  Worthie Doyle,et al.  Operations Useful for Similarity-Invariant Pattern Recognition , 1962, JACM.