Multi-focus image fusion based on multi-resolution singular value decomposition

Abstract

Abstract: A new frame of multi-resolution singular value decomposition (MSVD) is presented. And apply it into multi-focus image fusion. Firstly, based on the principle of blocking algorithm, images involved in fusion are decomposed into one approximation and three detail images with different resolution by singular value decomposition. Then combined with reconstruction algorithm of MSVD, the frame of image fusion is given. Secondly, compared with image fusion by discrete wavelet transform (DWT), image fusion by MSVD performs better. Moreover, MSVD does not have a fixed set of basis like wavelet, and its basis vectors depend on the image itself. At last, the performance of the result image was evaluated using objective indices. The experimental result shows that the proposed method is not only simple, but also that the visual effect of the image is considerable after reducing blocking artifact. And both the definition and spatial frequency are improved greatly.

Key words: Image processing, Image fusion, Multi-resolution singular value decomposition, Multi focus image, Wavelet transformation, Definition

CLC Number:

TP391

WANG Xiaobo, LIU Bin. Multi-focus image fusion based on multi-resolution singular value decomposition[J]. J4, 2014, 31(3): 257-263.

References

[1] 李凯, 刘斌. 非下采样三通道不可分小波的多聚焦图像融合
[J]. 计算机工程与应用, 2012, 48(17): 174-177. LI Kai, LIU Bin. Multi-focus image fusion based on nonsubsampled three-channels non-separable wavelets
[J]. Computer Engineering and Application, 2012, 48(17): 174-177. （in Chinese）
[2] 刘斌, 刘维杰, 马嘉利. 基于三通道不可分对称小波的多聚焦图像融合
[J]. 仪器仪表学报, 2012, 33(5): 1110-1116. LIU Bin, LIU Weijie, MA Jiali. Multi-focus image fusion based on three channel nonseparable symmetrical wavelets
[J]. Chinese Journal of Scientific Instrument, 2012, 33(5): 1110-1116. （in Chinese）
[3] 李建林, 俞建成, 孙胜利. 基于梯度金字塔图像融合的研究
[J]. 科学技术与工程, 2007, 7(22): 5818-5822. LI Jianlin, YU Jiancheng, SUN Shengli. Study of Image Fusion Based on Grad Pyramid Algorithm
[J]. Science Technology and Engineering, 2007, 7(22): 5818-5822. （in Chinese）
[4] 赵学智, 叶邦彦, 陈统坚. 多分辨奇异值分解理论及其在信号处理和故障诊断中的应用
[J]. 机械工程学报, 2010, 46(20): 64-75. ZHAO Xuezhi, YE Bangyan, CHEN Tongjian. Theory of Multi-resolution Singular Value Decomposition and Its Application to Signal Processing and Fault Diagnosis
[J]. Journal of Mechanical Engineering, 2010, 46(20): 64-75. （in Chinese）
[5] 刘斌, 彭嘉雄. 基于区域的小波多尺度多聚焦图像融合方法
[J]. 量子电子学报, 2005, 22(2): 159-164 LIU Bin, PENG Jia-xiong. Image fusion method based on region and wavelet transform
[J].Chinese Journal of Quantum Electronics, 2005, 22(2): 159-164. （in Chinese）
[6] Nasir H, Stankovic V, Marshall S. Singular Value Decomposition based fusion for super-resolution image reconstruction
[J]. IEEE, 2011: 393-398
[7] Kakarala R, Ogunbona P O, Member S. Signal Analysis Using a Multiresolution Form of the Singular Value Decomposition
[J]. IEEE, 2001, 10(5): 724-735.
[8] 石敏, 易清明, 刘金梅. 一种基于边缘检测的去方块效应算法
[J]. 计算机工程与应用, 2007, 43(8): 27-28. SHI Min, YI Qingming, LIU Jinmei. Blocking-artifact reduction algorithm based on edge detection
[J]. Computer Engineering and Applications, 2007, 43(8): 27-28. （in Chinese）
[9] 王焱, 邹步, 彭慧玲. 基于形态学的边缘检测研究
[J]. 现代制造工程, 2011, 12: 87-90. WANG Yan, ZOU Bu, PENG Huiling. Study on edge detection based on morphology
[J]. Modern Manufacturing Engineering, 2011, 12: 87-90. （in Chinese）

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