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Blind image separation based on reorganization of block DCT

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Abstract

Blind image separation consists in processing a set of observed mixed images to separate them into a set of original components. Most of the current blind separation methods assume that the sources are as statistically independent or sparsity as possible given the observations. However, these hypotheses do not hold in real world situation. Considering that the images do not satisfy the independent and sparsity conditions, so the mixed images cannot be separated with independent component analysis and sparse component analysis directly. In this paper, a method based on reorganization of blocked discrete cosine transform (RBDCT) is first proposed to separate the mixed images. Firstly, we get the sparse blocks through RBDCT, and then select the sparsest block adaptively by linear strength in which the mixing matrix can be estimated by clustering methods. In addition, a theoretical result about the linearity of the RBDCT is proved. The effectiveness of the proposed approach is demonstrated by several numerical experiments and compared the results with other classical blind image methods.

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Acknowledgments

This work was supported by Natural Science Foundation of China (Grant No. 61203287), Natural Science Foundation of Hubei Province (No. 2014CFB414), the Special Fund for Basic Scientific Research of Central Colleges, China University of Geosciences Wuhan (Grant No. CUGL130247) and the Youth Foundation of Naval University of Engineering (Grant No. HGDQNJJ13005).

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Authors and Affiliations

  1. School of Mathematics and Physics, China University of Geosciences, Wuhan, China

    Yujie Zhang & Diwei Yang

  2. School of Computer Science, University of Windsor, Windsor, ON, Canada

    Yujie Zhang

  3. School of Science, Naval University of Engineering, Wuhan, China

    Rui Qi

  4. Faculty of Science and Technology, University of Macau, Macau, China

    Zhiguo Gong

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  1. Yujie Zhang
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  2. Diwei Yang
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  3. Rui Qi
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  4. Zhiguo Gong
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Correspondence to Yujie Zhang.

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Zhang, Y., Yang, D., Qi, R. et al. Blind image separation based on reorganization of block DCT. Multimed Tools Appl 75, 12101–12121 (2016). https://doi.org/10.1007/s11042-016-3397-z

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  • DOI: https://doi.org/10.1007/s11042-016-3397-z

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