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Similarity measure and domain adaptation in multiple mixture model clustering: An application to image processing

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  • Siow Hoo Leong
  • Seng Huat Ong

Abstract

This paper considers three crucial issues in processing scaled down image, the representation of partial image, similarity measure and domain adaptation. Two Gaussian mixture model based algorithms are proposed to effectively preserve image details and avoids image degradation. Multiple partial images are clustered separately through Gaussian mixture model clustering with a scan and select procedure to enhance the inclusion of small image details. The local image features, represented by maximum likelihood estimates of the mixture components, are classified by using the modified Bayes factor (MBF) as a similarity measure. The detection of novel local features from MBF will suggest domain adaptation, which is changing the number of components of the Gaussian mixture model. The performance of the proposed algorithms are evaluated with simulated data and real images and it is shown to perform much better than existing Gaussian mixture model based algorithms in reproducing images with higher structural similarity index.

Suggested Citation

  • Siow Hoo Leong & Seng Huat Ong, 2017. "Similarity measure and domain adaptation in multiple mixture model clustering: An application to image processing," PLOS ONE, Public Library of Science, vol. 12(7), pages 1-30, July.
  • Handle: RePEc:plo:pone00:0180307
    DOI: 10.1371/journal.pone.0180307
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    References listed on IDEAS

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    1. Zexuan Ji & Yubo Huang & Quansen Sun & Guo Cao & Yuhui Zheng, 2017. "A Rough Set Bounded Spatially Constrained Asymmetric Gaussian Mixture Model for Image Segmentation," PLOS ONE, Public Library of Science, vol. 12(1), pages 1-30, January.
    2. Steiner, P.M. & Hudec, M., 2007. "Classification of large data sets with mixture models via sufficient EM," Computational Statistics & Data Analysis, Elsevier, vol. 51(11), pages 5416-5428, July.
    3. Rafael Coimbra Pinto & Paulo Martins Engel, 2015. "A Fast Incremental Gaussian Mixture Model," PLOS ONE, Public Library of Science, vol. 10(10), pages 1-12, October.
    4. Ron Wehrens & Lutgarde M.C. Buydens & Chris Fraley & Adrian E. Raftery, 2004. "Model-Based Clustering for Image Segmentation and Large Datasets via Sampling," Journal of Classification, Springer;The Classification Society, vol. 21(2), pages 231-253, September.
    5. Chaoying Tang & Biao Wang, 2016. "A No-Reference Adaptive Blockiness Measure for JPEG Compressed Images," PLOS ONE, Public Library of Science, vol. 11(11), pages 1-12, November.
    6. Melnykov, Volodymyr & Chen, Wei-Chen & Maitra, Ranjan, 2012. "MixSim: An R Package for Simulating Data to Study Performance of Clustering Algorithms," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 51(i12).
    7. Lawrence Hubert & Phipps Arabie, 1985. "Comparing partitions," Journal of Classification, Springer;The Classification Society, vol. 2(1), pages 193-218, December.
    8. Tao Meng & Mei-Ling Shyu & Lin Lin, 2011. "Multimodal Information Integration and Fusion for Histology Image Classification," International Journal of Multimedia Data Engineering and Management (IJMDEM), IGI Global, vol. 2(2), pages 54-70, April.
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