Abstract
This paper proposes a novel strategy, atom search sine cosine algorithm (ASSCA) for multi-focus image fusion. Here, the discrete wavelet transform (DWT) is adapted for transforming images into sub-bands. The fusion is carried out using a fusion rule based on weighting criteria that uses two attributes, Renyi entropy and the proposed ASSCA. Entropy discovers the entropy fusion factor considering the assessed entropy from the source image. Further, an optimization strategy, ASSCA is developed by integrating atom search optimization and sine cosine algorithm for precise selection of fusion factor. The output obtained from the fusion undergoes inverse discrete wavelet transform to obtain the resultant fused image. The proposed DWT + ASSCA + Renyi entropy outperformed other methods with maximal mutual information of 1.492, maximal peak signal-to-noise ratio of 40.625 dB, minimal root mean-squared error of 7.651, maximum correlation coefficient of 0.988, and minimum deviation index of 1.146.




Similar content being viewed by others
Abbreviations
- JHE:
-
Joint holo-entropy
- HWFusion:
-
Holoentropy whale fusion
- UDWT:
-
Undecimated discrete wavelet transform
- GA:
-
Genetic algorithm
- SP-Whale:
-
Whale optimization algorithm + particle swarm optimization
- coif1:
-
Coiflets 1 wavelet
- db2:
-
Daubechies 2 wavelet
- sym2:
-
Symlets 2 wavelet transform
- PCNN:
-
Pulse coupled neural network
- DCNN:
-
Deep convolutional neural network
- CA:
-
Approximation coefficients array
- CD:
-
Diagonal detailed coefficients array
- CH:
-
Horizontal detail coefficients array
- CV:
-
Vertical detail coefficients array
- i.e.:
-
That is
References
Tian, Jing, Chen, Li, Ma, Lihong, Yu, W.: Multi-focus image fusion using a bilateral gradient-based sharpness criterion. Opt. Commun. 284, 80–87 (2011)
Wang, Zhaobin, Ma, Y., Gu, J.: Multi-focus image fusion using PCNN. Pattern Recognit. 43(6), 2003–2016 (2010)
Li, Shutao, Kang, Xudong, Jianwen, Hu, Yang, Bin: Image matting for fusion of multi-focus images in dynamic scenes. Inf. Fusion 14, 147–162 (2013)
Venkatrao, P.H., Damodar, S.S.: HWFusion: holoentropy and SP-Whale optimisation-based fusion model for magnetic resonance imaging multimodal image fusion. IET Image Process. 12(4), 572–581 (2018)
Farid, M.S., Mahmooda, S., Al-Maadeeda, S.A.: Multi-focus image fusion using content adaptive blurring. Inf. Fusion 45, 96–112 (2019)
Pajares, Gonzalo, de la Cruz, J.: A wavelet-based image fusion tutorial’. Pattern Recognit. 37(9), 1855–1872 (2004)
Haghighat, Mohammad Bagher Akbari, Aghagolzadeh, Ali, Seyedarabi, Hadi: Multi-focus image fusion for visual sensor networks in DCT domain. Comput. Electr. Eng. 37, 789–797 (2011)
Li, Huafeng, Chai, Yi, Li, Zhaofei: Multi-focus image fusion based on nonsubsampled contourlet transform and focused regions detection. Optik 124, 40–51 (2013)
Liu, Shuaiqi, Wang, Jie, Yucong, Lu, Li, Hailiang, Zhao, Jie, Zhu, Zhihui: Multi-focus image fusion based on adaptive dual-channel spiking cortical model in non-subsampled shearlet domain. IEEE Access 7, 56367–56388 (2019)
Huang, W., Jing, Z.: Evaluation of focus measures in multi-focus image fusion. Pattern Recognit. Lett. 28, 493–500 (2018)
Yang, Yong, Ding, Min, Huang, Shuying, Que, Yue, Wan, W., Yang, M., Sun, J.: Multi-focus image fusion via clustering PCA based joint dictionary learning. IEEE Access 5, 16985–16997 (2017)
Li, S.T., Kang, X.D., Hu, J.W.: Image fusion with guided filtering. IEEE Trans. Image Process. 22, 2864–2875 (2013)
Wang, K., Qi, G., Zhu, Z., Chai, Y.: A novel geometric dictionary construction approach for sparse representation based image fusion. Entropy 19, 306–323 (2017)
Li, X., Wang, L., Wang, J., Zhang, X.: Multi-focus image fusion algorithm based on multilevel morphological component analysis and support vector machine. IET Image Process. 11(10), 919–926 (2017)
Guruprasad, S., Kurian, M.Z., Suma, H.N., Sharanabasavaraj, : A medical multi-modality image fusion of CT/PET with PCA, DWT methods. J. Dent. Mater. Tech. 4(2), 677–681 (2013)
El-Gamal, F.E.-Z.A., Elmogy, M., Atwan, A.: Current trends in medical image registration and fusion. Egypt. Inform. J. 17(1), 99–124 (2016)
Zhao, Wenda, Wang, Dong, Lu, Huchuan: Multi-focus image fusion with a natural enhancement via joint multi-level deeply supervised convolutional neural network. IEEE Trans. Circuits Syst. Video Technol. 29(4), 1102–1115 (2019)
Yang, Y., Tong, S., Huang, S., Lin, P., Fang, Y.: A hybrid method for multi-focus image fusion based on fast discrete curvelet transform. IEEE Access 5, 14898–14913 (2017)
Huang, Ying, Li, Weisheng, Gao, Mingliang, Liu, Zheng: Algebraic multi-grid based multi-focus image fusion using watershed algorithm. IEEE Access 6, 47082–47091 (2018)
Jiang, Q., Jin, X., Lee, S.-J., Yao, S.: A novel multi-focus image fusion method based on stationary wavelet transform and local features of fuzzy sets. IEEE Access 5, 20286–20302 (2017)
Lai, Rui, Li, Yongxue, Guan, Juntao, Xiong, Ai: Multi-scale visual attention deep convolutional neural network for multi-focus image fusion. IEEE Access 7, 114385–114399 (2019)
Zheng, Y., Qin, Z., Shao, L.: X Hou,” A novel objective image quyality metric for image fusion based on Renyi entropy”. Inf. Technol. J. 7(6), 930–935 (2008)
Zhao, Weiguo, Wang, Liying, Zhang, Zhenxing: Atom search optimization and its application to solve a hydrogeologic parameter estimation problem. Knowl. Based Syst. 163, 283–304 (2019)
Mirjalili, Seyedali: SCA: a sine cosine algorithm for solving optimization problems. Knowl. Based Syst. 96, 120–133 (2016)
Lytro Multi-focus Image Dataset taken from, https://www.researchgate.net/publication/291522937_Lytro_Multi-focus_Image_Dataset. Accessed Oct 2019
Kavitha, S., Thyagharajan, K.K.: Efficient DWT-based fusion techniques using genetic algorithm for optimal parameter estimation. Soft. Comput. 21(12), 3307–3316 (2017)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Electronic supplementary material
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Singh, V., Kaushik, V.D. Renyi entropy and atom search sine cosine algorithm for multi focus image fusion. SIViP 15, 903–912 (2021). https://doi.org/10.1007/s11760-020-01814-0
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11760-020-01814-0