Abstract
Multi-focus image fusion technique is able to help obtaining an all-focused image, which is advantage to human vision and image processing. In this paper, a novel multi-focus image fusion method is proposed based on random walk and guided filter. In the proposed method, the decomposition function and the optimizing function of random walk are used in multi-focus image fusion. And the random walk is also utilized for weight maps directly. The advantages of random walk and guided filter in image fusion are fully utilized by regulating proportional coefficients artificially. The proposed method concludes six steps: first, decomposing source images into detail layers and base layers with random walk; second, the random walk is used for weight maps directly and the guided filter is used as smoothing filters to get the streamlined weight maps of the detail layers and the base layers, respectively; third, the weight maps of the detail layers and the base layers are acquired by summing the initializing weight maps in different proportions; and then, the final weight maps of the detail layers are acquired using random walk for optimizing. After that, the fused detail layer and base layer are obtained by weighted average of detail layers and base layers, singly. Finally, the fused image is gained by summing up the fused base layer and the fused detail layer. Experiments demonstrate that the proposed method outperforms many other approaches in both subjective and objective assessments.
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References
Zhang, Q., et al.: Sparse representation based multi-sensor image fusion for multi-focus and multi-modality images: a review. Inf. Fusion 40, 57–75 (2018)
Yan, C., et al.: A fast Uyghur text detector for complex background images. IEEE Trans. Multimedia 20(12), 3389–3398 (2018)
Yan, C., et al.: Effective Uyghur language text detection in complex background images for traffic prompt identification. IEEE Trans. Intell. Transp. Syst. PP(99), 1–10 (2017)
Liu, Z., et al.: A novel multi-focus image fusion approach based on image decomposition. Inf. Fusion 35, 102–116 (2017)
Wang, Z., et al.: Review of random walk in image processing. Arch. Comput. Methods Eng. 26(1), 17–34 (2017)
Yan, C., et al.: Supervised hash coding with deep neural network for environment perception of intelligent vehicles. IEEE Trans. Intell. Transp. Syst. 19(1), 284–295 (2018)
Yan, C., et al.: A highly parallel framework for HEVC coding unit partitioning tree decision on many-core processors. IEEE Signal Process. Lett. 21(5), 573–576 (2014)
Yan, C., et al.: Efficient parallel framework for HEVC motion estimation on many-core processors. IEEE Trans. Circuits Syst. Video Technol. 24(12), 2077–2089 (2014)
Wang, Z., Ma, Y., Gu, J.: Multi-focus image fusion using PCNN. J. Univ. Electron. Sci. Technol. China 43(6), 2003–2016 (2009)
Shen, R., et al.: Generalized random walks for fusion of multi-exposure images. IEEE Trans. Image Process. A Publ. IEEE Signal Process. Soc. 20(12), 3634–3646 (2011)
Li, S., Kang, X., Hu, J.: Image fusion with guided filtering. IEEE Trans. Image Process. A Publ. IEEE Signal Process. Soc. 22(7), 2864 (2013)
Hua, K.L., et al.: A novel multi-focus image fusion algorithm based on random walks. J. Vis. Commun. Image Represent. 25(5), 951–962 (2014)
Liu, Y., et al.: Region level based multi-focus image fusion using quaternion wavelet and normalized cut. Signal Process. 97(7), 9–30 (2014)
Nejati, M., Samavi, S., Shirani, S.: Multi-focus image fusion using dictionary-based sparse representation. Inf. Fusion 25, 72–84 (2015)
Wang, Z., Wang, S., Guo, L.: Novel multi-focus image fusion based on PCNN and random walks. Neural Comput. Appl. 5, 1–14 (2016)
Wang, Z., Wang, S., Zhu, Y.: Multi-focus image fusion based on the improved PCNN and guided filter. Neural Process. Lett. 45(1), 75–94 (2017)
Nejati, M., et al.: Surface area-based focus criterion for multi-focus image fusion. Inf. Fusion 36, 284–295 (2017)
Tian, J., Chen, L.: Multi-focus image fusion using wavelet-domain statistics. In: IEEE International Conference on Image Processing (2010)
Yang W, Gong Y.: Multi-spectral and panchromatic images fusion based on PCA and fractional spline wavelet. Int. J. Remote Sens. 33(22), 7060–7074 (2012)
Li, H., Chai, Y., Li, Z.: Multi-focus image fusion based on nonsubsampled contourlet transform and focused regions detection. Optik Int. J. Light Electron Opt. 124(1), 40–51 (2013)
Liu, Y., Liu, S., Wang, Z.: Multi-focus image fusion with dense SIFT. Inf. Fusion 23(C), 139–155 (2015)
Yang, Y., et al.: Multifocus image fusion based on NSCT and focused area detection. IEEE Sens. J. 15(5), 2824–2838 (2015)
Aslantas, V., Toprak, A.N.: Multi-focus image fusion based on optimal defocus estimation. Comput. Electr. Eng. 62, 302–318 (2017)
Qin, X., et al.: Multi-focus image fusion based on window empirical mode decomposition. Infrared Phys. Technol. 85, 251–260 (2017)
Zhang, Y., Bai, X., Wang, T.: Boundary finding based multi-focus image fusion through multi-scale morphological focus-measure. Inf. Fusion 35, 81–101 (2017)
Wang, Z., et al.: Review of pulse-coupled neural networks. Image Vis. Comput. 28(1), 5–13 (2010)
Wang, Z., Ma, Y.: Medical image fusion using m-PCNN. Inf. Fusion 9(2), 176–185 (2008)
Hou, X., et al.: Guided filter-based fusion method for multiexposure images. Opt. Eng. 55(11), 1–12 (2016)
Qin, H., et al.: Multi-focus image fusion using a guided-filter-based difference image. Appl. Opt. 55(9), 2230–2239 (2016)
Zribi, M.: Non-parametric and region-based image fusion with bootstrap sampling. Inf. Fusion 11(2), 85–94 (2010)
Chai, Y., Li, H., Li, Z.: Multifocus image fusion scheme using focused region detection and multiresolution. Opt. Commun. 284(19), 4376–4389 (2011)
Gonzalez-Audicana, M., et al.: Fusion of multispectral and panchromatic images using improved IHS and PCA mergers based on wavelet decomposition. IEEE Trans. Geosci. Remote Sens. 42(6), 1291–1299 (2004)
Burt, P.J.: A gradient pyramid basis for pattern-selective image fusion. In: Proceedings of the Society for Information Display Conference (1992)
Anderson, C.H.: Filter-subtract-decimate hierarchical pyramid signal analyzing and synthesizing technique (1988)
Pearson, K.: The problem of the random walk. Nature 72(1865), 294 (1905)
Wang, Z., et al.: Review of random walk in image processing. Arch. Comput. Methods Eng. 1866, 1–18 (2017)
Smolka, B., Wojciechowski, K.W., Szczepanski, M.: Random Walk Approach to Image Enhancement. In: Proceedings of International Conference on Image Analysis and Processing, 2001 (1999)
Ram, S., Rodríguez, J.J.: Random walker watersheds: a new image segmentation approach. In: IEEE International Conference on Acoustics, Speech and Signal Processing, (2013)
Sun, X., et al.: Random walks for feature-preserving mesh denoising. Comput. Aided Geom. Des. 25(7), 437–456 (2008)
Grady, L., Funkalea, G.: Multi-label image segmentation for medical applications based on graph-theoretic electrical potentials. In: Computer Vision and Mathematical Methods in Medical and Biomedical Image Analysis, ECCV 2004 Workshops CVAMIA and MMBIA, Prague, Czech Republic, May 15, 2004, Revised Selected Papers (2004)
Pham, C.C., Jeon, J.W.: Efficient image sharpening and denoising using adaptive guided image filtering. Image Process. IET 9(1), 71–79 (2015)
Kang, X., Li, S., Benediktsson, J.A.: Spectral–spatial hyperspectral image classification with edge-preserving filtering. IEEE Trans. Geosci. Remote Sens. 52(5), 2666–2677 (2014)
He, K., Sun, J., Tang, X.: Guided Image Filtering, pp. 1397–1409. Springer, Berlin (2010)
Draper, N.R., Smith, H.: Applied Regression Analysis, 2nd ed. Wiley, New York (1981)
Grady, L.: Random walks for image segmentation. IEEE Trans. Pattern Anal. Mach. Intell. 28(11), 1768–1783 (2006)
Wang, Z., et al.: An Image enhancement method based on edge preserving random walk filter. In: International Conference on Intelligent Computing (2015)
Wang, Z., Wang, H.: Image Smoothing with Generalized Random Walks, pp. 792–804. Elsevier Science Publishers B. V., Amsterdam (2016)
Liu, Z., et al.: Objective assessment of multiresolution image fusion algorithms for context enhancement in night vision: a comparative study. IEEE Trans. Pattern Anal. Mach. Intell. 34(1), 94 (2012)
Hossny, M., Nahavandi, S., Creighton, D.: Comments on ‘Information measure for performance of image fusion’. Electron. Lett. 44(18), 1066–1067 (2008)
Qiang, W., Yi, S., Jing, J.: 19—Performance evaluation of image fusion techniques. In: Image fusion: algorithms and applications, pp. 469–492 (2008)
Xydeas, C.S., Petrovic, V.: Objective image fusion performance measure. Mil. Tech. Cour. 56(2), 181–193 (2000)
Acknowledgements
We would like to thank the associate editors and the reviewers for their valuable comments and suggestions. The authors also thank Shuai Wang for his generous help.
Funding
This study was funded by National Natural Science Foundation of China (Grant no. 61201421) and the Fundamental Research Funds for the Central Universities of Lanzhou University (lzujbky-2017-187).
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Communicated by Q. Tian.
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Wang, Z., Chen, L., Li, J. et al. Multi-focus image fusion with random walks and guided filters. Multimedia Systems 25, 323–335 (2019). https://doi.org/10.1007/s00530-019-00608-w
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DOI: https://doi.org/10.1007/s00530-019-00608-w