Abstract
The parallelism and entanglement characteristics of quantum computation greatly improve the efficiency of image processing tasks. With the sharp increase of data size and requirement of real-time processing in image fusion application, rapid implementation using quantum computation will become the inexorable trend. A novel multimodality image fusion algorithm based on quantum wavelet transform (QWT) and proposed quantum version of sum-modified-laplacian (SML) rule is designed in this paper. The source digital images are firstly represented by flexible representation of quantum image (FRQI) model, and then the quantum form images are transformed with QWT to capture salient features of source images. The quantum version of SML rule is proposed to fuse wavelet coefficients, which has higher efficiency and runs faster than its classical counterpart. The final fused image is obtained by using inverse quantum wavelet transform. The simulations and theoretical analysis verify that the proposed algorithm is effective in the fusion of multimodality images.
Similar content being viewed by others
References
Abura'ed, N., Khan, F.S., Bhaskar, H.: Advances in the quantum theoretical approach to image processing applications. ACM Comput. Surv. (CSUR). 49(4), 75 (2017)
Zhou, N., Hu, Y., Gong, L., Li, G.: Quantum image encryption scheme with iterative generalized Arnold transforms and quantum image cycle shift operations [J]. Quantum Inf. Process. 16(6), 1–23 (2017)
Zhou, N., Hua, T., Gong, L., et al.: Quantum image encryption based on generalized Arnold transform and double random-phase encoding. Quantum Inf. Process. 14(4), 1193–1213 (2015)
Song, X., Wang, S., Ellatif, A., Niu, X.: Quantum image encryption based on restricted geometric and color transformations. Quantum Inf. Process. 13(8), 1765–1787 (2014)
Yang, Y., Tian, J., Lei, H., et al.: Novel quantum image encryption using one-dimensional quantum cellular automata. Inf. Sci. 345, 257–270 (2016)
Li, P., Zhao, Y., Xiao, H., Cao, M.: An improved quantum watermarking scheme using small-scale quantum circuits and color scrambling. Quantum Inf. Process. 16(5), 127 (2017)
Yang, Y., Xu, P., Tian, J., Zhang, H.: Analysis and improvement of the dynamic watermarking scheme for quantum images using quantum wavelet transform. Quantum Inf. Process. 13(9), 1931–1936 (2014)
Naseria, M., Heidari, S., Baghfalaki, M., et al.: A new secure quantum watermarking scheme. Optik. 139, 77–86 (2017)
Heidari, S., Pourarian, M., et al.: Quantum red-green-blue image steganography. Int. J. Quantum Inf. 15(05), 1750039 (2017)
Heidari, S., Farzadnia, E.: A novel quantum LSB-based steganography method using the gray code for colored quantum images. Quantum Inf. Process. 16(10), 242 (2017)
Jiang, N., Zhao, N., Wang, L.: LSB based quantum image steganography algorithm. Int. J. Theor. Phys. 55(1), 107–123 (2016)
Li, H.S., Zhu, Q., Lan, S., et al.: Image storage, retrieval, compression and segmentation in a quantum system[J]. Quantum Inf. Process. 12(6), 2269–2290 (2013)
Caraiman, S., Manta, V.I.: Image segmentation on a quantum computer. Quantum Inf. Process. 14(5), 1693–1715 (2015)
Zhang, Y., Lu, K., Xu, K., Gao, Y., Wilson, R.: Local feature point extraction for quantum images. Quantum Inf. Process. 14(5), 1573–1588 (2015)
Yan, F., Iliyasu, A.M., Venegas-Andraca, S.E.: A survey of quantum image representations. Quantum Inf. Process. 15(1), 1–35 (2016)
Latorre J.I.: Image compression and entanglement. Computer Science, https://arxiv.org/abs/quant-ph/0510031 (2005). Accessed 23 June 2017
Le, P.Q., Dong, F., Hirota, K.: A flexible representation of quantum images for polynomial preparation, image compression, and processing operations. Quantum Inf. Process. 10(1), 63–84 (2011)
Li, S., Yin, H., Fang, L.: Remote sensing image fusion via sparse representations over learned dictionaries. IEEE Trans. Geosci. Remote Sens. 51(9), 4779–4789 (2013)
Zhu, S., Wang, L., Duan, S.: Memristive pulse coupled neural network with applications in medical image processing. Neurocomputing. 227, 149–157 (2017)
Li, S., Kang, X., Fang, L., Hu, J., Yin, H.: Pixel-level image fusion. Inf. Fusion. 33(C), 100–112 (2017)
Li, X., Qin, S.Y.: Efficient fusion for infrared and visible images based on compressive sensing principle. IET Image Process. 5(2), 141–147 (2011)
Fu, Y., Xu, W., Xie, K.: Adaptive image fusion rule based on quantum theory. Comput. Eng. Appli. 51(21), 191–194 (2015)
Teng, C.Y., Xu, W.: Image fusion algorithm based on HSI transform and quantum-behaved particle swarm optimization transform. Comput. Eng. Appli. 43(16), 45–46 (2007)
Xi, L., Xie, K.: Multi-focus image fusion based on quantum-inspired image decomposition. Comput. Eng. 41(8), 268–272 (2015)
Kong, W., Lei, Y., Ren, M.: Fusion technique for infrared and visible images based on improved quantum theory model. Neurocomputing. 212(2), 1637–1640 (2016)
Fijany, A., Williams, C.P.: Quantum wavelet transforms: fast algorithms and complete circuits. https://arxiv.org/abs/quant-ph/9809004v1 (1999). Accessed 15 August 2017
Heidari, S., Naseri, M., Gheibi, R., Baghfalaki, M., Pourarian, M.R., Farouk, A.: A new quantum watermarking based on quantum wavelet transforms. Commun. Theor. Phys. 67(6), 732 (2017)
Liu, S., Zhao, J., Shi, M.: Medical image fusion based on improved sum-modified-Laplacian. Int. J. Imaging Syst. Technol. 25(3), 206–212 (2015)
Zhang, Y., Lu, K., Gao, Y.H.: QSobel: a novel quantum image edge extraction algorithm. Sci. China Inf. Sci. 58(1), 12106 (2015)
Acknowledgments
The work was funded by the National Natural Science Foundation of China (Grant Nos. 61572089, 61633005, 61802037), the Chongqing Special Postdoctoral Science Foundation (XmT2018032), the Chongqing Research Program of Basic Research and Frontier Technology (Grant No. cstc2017jcyjBX0008) and the Fundamental Research Funds for the Central Universities (Grant Nos. 106112017CDJQJ188830, 106112017CDJXY180005).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Liu, X., Xiao, D. Multimodality Image Fusion Based on Quantum Wavelet Transform and Sum-Modified-Laplacian Rule. Int J Theor Phys 58, 734–744 (2019). https://doi.org/10.1007/s10773-018-3971-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-018-3971-4