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Novel and fast EMD-based image fusion via morphological filter

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Abstract

This paper presents a novel and fast EMD-based (empirical mode decomposition-based) image fusion approach via morphological filter. Firstly, we develop a multi-channel bidimensional EMD method based on morphological filter to conduct image fusion. It uses the morphological expansion and erosion filters to compute the upper and lower envelopes of a multi-channel image in the sifting processing, and can decompose the input source images into several intrinsic mode functions (IMFs) with different scales and a residue. It significantly improves the computation efficiency of EMD for multi-channel images while maintaining the decomposition quality. Secondly, we adopt a patch-based fusion strategy with overlapping partition to fuse the IMFs and residue instead of the pixel-based fusion way usually used in EMD-based image fusion, where an energy-based maximum selection rule is designed to fuse the IMFs, and the feature information extracted by IMFs is used as a guide to merge the residue. Such strategy can extract the salient information of the source images well and can also reduce the spatial artifacts introduced by the noisy characteristics of the pixel-wise maps. A large number of comparative experiments on the fusion of several commonly used image data sets with multi-focus and multi-modal images, show that our newly proposed fusion method can obtain much better results than the existing EMD-based image fusion approaches. Furthermore, it is very competitive with the state-of-the-art image fusion methods in visualization, objective metrics, and time performance. The code of the proposed method can be downloaded from: https://github.com/neepuhjp/MFMBEMD-ImageFusion.

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Notes

  1. https://github.com/yuliu316316/MFIF.

  2. https://github.com/uzeful/IFCNN.

  3. https://github.com/arbabsufyan/Proposed-Code.git.

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Acknowledgements

We would like to thank the anonymous reviewers for their helpful comments. This work is supported in part by National Science Foundation of USA (IIS-1812606, IIS-1715985); National Natural Science Foundation of China (No. 61672149, 61532002, 61602344, 61802279); the Open Project Program of the State Key Lab of CAD &CG(No. A2105), Zhejiang University.

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Authors and Affiliations

  1. School of Mathematics, Jilin University, Changchun, 130012, China

    Qi Xie

  2. School of Sciences, Northeast Electric Power University, Jilin, 132012, China

    Qi Xie, Jianping Hu & Daochang Zhang

  3. School of Mathematical Sciences, Tiangong University, Tianjin, 300387, China

    Xiaochao Wang

  4. Department of Computer Science, Stony Brook University (SUNY), Stony Brook, NY, 11794-2424, USA

    Hong Qin

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  1. Qi Xie
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Correspondence to Jianping Hu or Xiaochao Wang.

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Xie, Q., Hu, J., Wang, X. et al. Novel and fast EMD-based image fusion via morphological filter. Vis Comput 39, 4249–4265 (2023). https://doi.org/10.1007/s00371-022-02588-x

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