Image Segmentation Using Credibility Critical Values

Authors

  • S. Sampath Department of Statistics University of Madras.
  • R. Senthil Kumar Department of Statistics University of Madras.

DOI:

https://doi.org/10.37591/joipprp.v2i2.394

Keywords:

Clustering, credibility distribution, critical values, k-means, rough k-means, RDB index, image segmentation

Abstract

In this paper, a method of creating fuzzy data matrix (a matrix whose elements are fuzzy variables) representing an image is proposed. Further, a study on image segmentation carried out on the basis of such a matrix is carried out. This work considers three methods of crisp conversion available in credibility theory. Their performances have been evaluated under k-means clustering and rough k-means clustering with the help of a mammogram using appropriate validity measures.

 

Cite this Article
S. Sampath, R. Senthil Kumar. Image Segmentation Using Credibility Critical Values. Journal of Image Processing & Pattern Recognition Progress. 2015; 2(2): 46–55p.

Author Biographies

  • S. Sampath, Department of Statistics University of Madras.
    S. Sampath is currently holding the position of Professor of Statistics in the University of Madras, Chennai,India. He got his Ph.D. degree from the University of Madras. He has served in Loyola College, Chennai and Birla Institute of Science and Technology, Dubai, UAE before joining University of Madras in 2008.
    He has more than 30 years experience in teaching and research. He has guided many scholars for their
    research degrees and currently four are working for their Ph.D. degree under his guidance. His main areas
    of research are Inference for Finite Populations, Classical Statistical Inference, and Data Mining. He has to his credit more than 45 research articles in highly rated research journals. His book titled “Sampling Theory and Methods” published by CRC Press and Narosha Publishing house is a popular book in the academic circles.
  • R. Senthil Kumar, Department of Statistics University of Madras.
    R.Senthil Kumar got his M.Phil. degree from the University of Madras and currently he is serving as Assistant Professor in the School of Advanced Sciences, VIT University, Chennai. He has more than one decade of teaching experience. Currently he is doing Part-time Ph.D. under the guidance of Prof S.Sampath, University of Madras, Chennai. His research area is Clustering of Fuzzy data sets and its applications

References

Uso AM, Pla F, Sevila PG. Unsupervised Image Segmentation using a Heirarchical Clustering Selection Process. Structural Syntactic and Statistical Pattern Recognition.2006; 4109: 799–807p.

Arifin AZ, Asano A. Image Segmentation by histogram thresholding using hierarchical cluster analysis. Pattern Recognition Letters. 2006; 27(13): 1515–1521p.

Chinki Chandhok, Soni Chaturvedi, Khurshid AA. An approach to Image segmentation using k-means clustering algorithm. International Journal of Information Technology (IJIT). 2012; 1(1): 11–17p.

Marroquin JL, Girosi F. Some Extentions of the K-Means Algorithm For Image Segmentation and Pattern Classification. Technical Report,MIT Artificial Intelligence Laborartory.1993.

Luo M, Ma YF, Zhang HJ. A Special Constrained K-Means approach to Image Segmentation. Proc.The 2003 Joint Conference of Fourth International Conference on Informations Communications and Signal Processing and the Fourth Pacific Rim Conference on Multimedia. 2003; 2: 738–742p.

Dubey Shiv Ram, Dixit Pushkar, Singh Nishant et al. Infected Fruit part Detection using K-means clustering segmentation technique. International Journal of Artificial Intelligence and Interactive Multimedia. 2013; 2(2): 65–72p.

Macqueen J. Some methods for classification and analysis of multivariate observations. In Proc. of the 5th Berkeley Symp. On Mathematical Statistics and Proabability, University of California Press, 1967; 281–297p.

Lingras P, West C. Interval set clustering of web users with rough k–means. J.Intell. Inf.Syst, 2004; 23(1): 5–16p.

Peters G. Some refinements of rough k–means clustering. Pattern Recognition. 2006; 39: 1481–1491p.

Davies DL, Bouldin DW. A cluster seperation measure. IEEE. Trans. Pattern Anal. Mach. Intell. 1979; 1: 224–227p.

Liu B. Uncertainty Theory.http://orsc.edu.cn/liu/ut.pdf, 3rd ed., 2008.

Sampath S, Kalaivani R. Clustering of Fuzzy data using credibilistic critical values. In: IEEE International Conference on Signal and Image Processing. 2010; 227–232p.

Sampath S, Senthil Kumar R. Clustering of Fuzzy data using Credibilistic Expected and Critical Values. In: IEEE International Conference on Computer Communication and Systems.2014: 176–181p.

Sampath S, Senthil Kumar R. Fuzzy Clustering using Credibilistic Critical Values. International Journal of Computational Intelligence and Informatics. 2013; 3(3): 213–221p.

Sampath S, Senthil Kumar R. Rough k-means clustering using Credibilistics Critical Values. International Journal of Data Mining and Emerging Technologies (IJDMET).

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Published

2015-07-23

Issue

Vol. 2 No. 2 (2015)

Section

Research Articles

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