Abstract
In this paper, a multi-focus image fusion algorithm based on the nonsubsampled contourlet transform (NSCT) and the nonsubsampled shearlet transform (NSST) is proposed. The source images are first decomposed by the NSCT and NSST into low frequency coefficients and high frequency coefficients. Then, the average method is used to fuse low frequency coefficient of the NSCT. To obtain more accurate salience measurement, the high frequency coefficients of the NSST and NSCT are combined to measure salience. The high frequency coefficients of the NSCT with larger salience are selected as fused high frequency coefficients. Finally, the fused image is reconstructed by the inverse NSCT. We adopt three metrics (QAB/F, Q e and Q w ) to evaluate the quality of fused images. The experimental results demonstrate that the proposed method outperforms other methods. It retains highly detailed edges and contours.
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References
Do, M. N., & Vetterli, M. (2005). The contourlet transform: an efficient directional multiresolution image representation. IEEE Transactions on Image Processing, 14(12), 2091–2106.
Cunha, A. L., Zhou, J., & Do, M. N. (2006). The nonsubsampled contourlet transform: theory, design, and applications. IEEE Transactions on Image Processing, 15(10), 3089–3101.
Guo, K., & Labate, D. (2007). Optimally sparse multidimensional representation using shearlets. SIAM Journal on Mathematical Analysis, 39(1), 298–318.
Yang, B., Li, S. T., & Sun, F. M. (2007). Image fusion using nonsubsampled contourlet transform. Proceedings of the Fourth International Conference on Image and Graphics, pp. 719–724.
Krishnamoorthy, S., & Soman, K. P. (2010). Implementation and comparative study of image fusion. International Journal of Computer Applications, 9(2), 25–35.
Manu, V. T., & Simon, P. (2012). A novel statistical fusion rule for image fusion and its comparison in non subsampled contourlet transform domain and wavelet domain. The International Journal of Multimedia and Its Applications, 4(2), 69–87.
Miao, Q. G., Lou, J. J., & Xu, P. F. (2012). Image fusion based on NSCT and bandelet transform. Proceedings of the Eighth International Conference on Computational Intelligence and Security, pp. 314–317.
Miao, Q. G., Shi, C., Xu, P. F., Yang, M., & Shi, Y. B. (2011). Multi-focus image fusion algorithm based on shearlets. Chinese Optics Letters, 9(4), 041001–04005.
Easley, G., Labate, D., & Lim, W. Q. (2008). Sparse directional image representations using the discrete shearlet transform. Applied and Computational Harmonic Analysis, 25(1), 25–46.
Guo, K., Labate, D., & Lim, W. Q. (2009). Edge analysis and identification using the continuous shearlet transform. Applied and Computational Harmonic Analysis, 27(1), 24–46.
Cao, Y., Li, S. T., & Hu, J. W. (2011). Multi-focus image fusion by nonsubsampled shearlet transform. Sixth International Conference on Image and Graphics, pp. 17–21.
Qu, X. B., Yan, J. W., Xiao, H. Z., & Zhu, Z. Q. (2009). Image fusion algorithm based on spatial frequency-motivated pulse coupled neural networks in nonsubsampled contourlet transform domain. Acta Automatica Sinica, 34(12), 1508–1514.
Xydeas, C. S., & Petrovic, V. (2000). Objective image fusion performance measure. Electronics Letters, 36(4), 308–309.
Piella, G., & Heijmans, H. (2003). A new quality metric for image fusion. International Conference on Image Processing, 3, 173–176.
Acknowledgments
The authors would like to thank the editor and anonymous reviewers for their detailed review and valuable comments. This paper is supported by scientific Research Fund of Hunan Provincial Education Department (No. 14B006).
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This article is part of the Topical Collection on Hybrid Imaging and Image Fusion.
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Moonon, AU., Hu, J. Multi-Focus Image Fusion Based on NSCT and NSST. Sens Imaging 16, 4 (2015). https://doi.org/10.1007/s11220-015-0106-3
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DOI: https://doi.org/10.1007/s11220-015-0106-3