CFP last date
20 May 2024
Reseach Article

A Mixture Model of Circular-Linear Distributions for Color Image Segmentation

by Anandarup Roy, Swapan K. Parui, Utpal Roy
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 58 - Number 9
Year of Publication: 2012
Authors: Anandarup Roy, Swapan K. Parui, Utpal Roy
10.5120/9308-3539

Anandarup Roy, Swapan K. Parui, Utpal Roy . A Mixture Model of Circular-Linear Distributions for Color Image Segmentation. International Journal of Computer Applications. 58, 9 ( November 2012), 6-11. DOI=10.5120/9308-3539

@article{ 10.5120/9308-3539,
author = { Anandarup Roy, Swapan K. Parui, Utpal Roy },
title = { A Mixture Model of Circular-Linear Distributions for Color Image Segmentation },
journal = { International Journal of Computer Applications },
issue_date = { November 2012 },
volume = { 58 },
number = { 9 },
month = { November },
year = { 2012 },
issn = { 0975-8887 },
pages = { 6-11 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume58/number9/9308-3539/ },
doi = { 10.5120/9308-3539 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:01:59.500392+05:30
%A Anandarup Roy
%A Swapan K. Parui
%A Utpal Roy
%T A Mixture Model of Circular-Linear Distributions for Color Image Segmentation
%J International Journal of Computer Applications
%@ 0975-8887
%V 58
%N 9
%P 6-11
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This article deals with mixture model based color image segmentation in the LCH color space. In this space, one of the components (representing hue in particular) is circular in nature. Hence LCH image pixels are samples on a cylinder. A statistical model for such data needs to employ circular-linear joint distributions. Here such a model is designed using the "Independent von-Mises Gaussian" distribution. Further its mixture is used to approximate the distribution of the LCH data. The mixture parameters are estimated using standard EM algorithm. Comprehensive experiments are conducted on Berkeley segmentation data set to measure the performance of the algorithm in terms of a variety of quantitative indices for image segmentation. A comparison is further made with some existing mixture models. Our study reveals that the proposed mixture model performs satisfactorily in this regard.

References
  1. H. D. Cheng, X. H. Jiang, Y. Sun, and J. L. Wang. Color image segmentation: advances and prospects. Pattern Recognition, 34:2259–2281, 2001.
  2. C. Carson, S. Belongie, H. Greenspan, and J. Malik. Blobworld: Image segmentation using expectationmaximization and its application to image querying. IEEE Trans. on PAMI, 24(8):1026–1038, 2002.
  3. A. Roy, S. K. Parui, and U. Roy. A beta mixture model based approach to text extraction from color images. Proc. of Int. Conf. on Advances in Pattern Recognition, pages 321–326. World Scientific, 2007.
  4. K. V. Mardia and P. Jupp. Directional Statistics. JohnWiley and Sons Ltd. , 2000.
  5. J. A. Mooney, P. J. Helms, and I. T. Jolliffe. Fitting mixtures of von mises distributions: a case study involving sudden infant death syndrome. Computational Statistics and Data Analysis, 41:505–513, 2003.
  6. A. Banerjee, I. S Dhillon, J. Ghosh, and S. Sra. Clustering on the unit hypersphere using von mises-fisher distributions. J. of Machine Learning Research, 6:1345–1382, 2005.
Index Terms

Computer Science
Information Sciences

Keywords

Finite mixture model Circular-linear distribution Color image segmentationifx