A Statistical Image Fusion Scheme for Multi Focus Applications

  • Z. W. Liao
  • S. X. Hu
  • W. F. Chen
  • Y. Y. Tang
  • T. Z. Huang
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3930)


In this paper, we propose a statistical scheme to judge the activity level measurement (ALM) that is based on wavelet-domain hidden Markov model (WD-HMM) and maximum likelihood (MLK). The source images are firstly decomposed by the wavelets and only the coefficients in the high frequency (HH) are utilized. Considering the shift-variance of wavelets, the merged image is obtained from the source images directly. The regions of each source image are obtained by the Hough transform (HT) and their ALM are decided by the ALM of their coefficients in HH according to MLK. Finally, two multi focus images are merged by our new framework. The fusion results show the high ability of our scheme in preserving edge information and avoiding shift-variant.


Hide Markov Model Image Fusion Source Image Hide State Multi Focus Image 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    Zhang, Z., Blum, R.S.: A Categorization of Multiscale-Dcomposition-Based Image Fusion Schemes with a Performance Study for a Digital Camera Application. Proc. of the IEEE 87(8), 1315–1326 (1999)CrossRefGoogle Scholar
  2. 2.
    Rabiner, L.: A Tutorial on Hidden Markov Models and Selected Applications in Speech Recognition. Proc. of IEEE Signal Processing 77, 257–285 (1999)Google Scholar
  3. 3.
    Crouse, M.S., Baraniuk, R.G.: Contextual Hidden Markov Models for Wavelet-domain Signal Processing. In: Proc. of 31st Asilomar Conf. on Signals, Systems and Computers (November 1997)Google Scholar
  4. 4.
    Chou, K.C., Willsky, A.S., Benveniste, A.: Multiscale Recursive Estimation, Data Fusion, and Regularization. IEEE Tran. Automat. Contr. 39, 464–478 (1994)MATHCrossRefMathSciNetGoogle Scholar
  5. 5.
    Hall, D.L., Llinas, J.: An Introduction to Multisensor Data Fusion. Proc. IEEE 85, 6–23 (1997)CrossRefGoogle Scholar
  6. 6.
    Xuan, Y., Hai, Y.W., Hong, P.J.: Fusion Multifocus Image Using Wavelet Decomposition. ACTA Electronica Sinica 29(6), 846–848 (2001)Google Scholar
  7. 7.
    Liao, Z.W., Tang, Y.Y.: Signal Denoising using Wavelet and Block Hidden Markov Model. International Journal of Pattern Recognition and Artificial Intelligence 19(5), 681–700 (2005)CrossRefMathSciNetGoogle Scholar
  8. 8.
    Liao, Z., Shaoxiang, H., Huang, T.Z.: Line Segments and Dominate Points Detection Based on Hough Transform. In: Hao, Y., Liu, J., Wang, Y.-P., Cheung, Y.-m., Yin, H., Jiao, L., Ma, J., Jiao, Y.-C. (eds.) CIS 2005. LNCS (LNAI), vol. 3802, pp. 917–922. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  9. 9.
    Shaoxiang, H., Liao, Z., Tang, Y.Y.: Image Fusion for a Digital Camera Application Based on Wavelet Domain Hidden Markov Models. In: Proceeding of the 3rd International Conference on Machine Learning and Cybernetics 2004, Shanghai, China, pp. 4356–4361 (2004)Google Scholar
  10. 10.
    Ouda, R.O., Hart, P.E.: Use of the Hough transformation to detect lines and curves in pictures. Commun. ACM 1(15), 11–15 (1972)Google Scholar
  11. 11.
    Guil, N., Villalba, J., Zapata, E.L.: A Fast Hough Transform for Segment Detection. IEEE Transactions on Image Processing 4(11), 1541–1548 (1995)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Z. W. Liao
    • 1
    • 2
  • S. X. Hu
    • 3
  • W. F. Chen
    • 1
  • Y. Y. Tang
    • 4
  • T. Z. Huang
    • 2
  1. 1.Key Lab of Medical Imaging, School of Biomedical EngineeringSouthern Medical UniversityGuangzhouChina
  2. 2.School of Applied MathematicsUniversity of Electronic Science and Technology of ChinaChengduChina
  3. 3.School of Physical ElectronicsUniversity of Electronic Science and Technology of ChinaChengduChina
  4. 4.Department of Computer ScienceHong Kong Baptist University, Kowloon TongHong Kong

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