LIU Bin, LIU Wei-jie, LUO Yi-hui, et al. Construction of Eight Channel Multi-Resolution Singular Value Decomposition of Matrix and Its Application in Multi-Focus Image Fusion[J]. Acta Electronica Sinica, 2016, 44(7): 1694-1701.
DOI:
LIU Bin, LIU Wei-jie, LUO Yi-hui, et al. Construction of Eight Channel Multi-Resolution Singular Value Decomposition of Matrix and Its Application in Multi-Focus Image Fusion[J]. Acta Electronica Sinica, 2016, 44(7): 1694-1701. DOI: 10.3969/j.issn.0372-2112.2016.07.025.
Construction of Eight Channel Multi-Resolution Singular Value Decomposition of Matrix and Its Application in Multi-Focus Image Fusion
To improve the defaults of classical SVD in image processing
a construction method of eight channel multi-resolution singular value decomposition of matrix (MSVD) is presented.An image fusion method based on this MSVD is proposed.Firstly
based on the principle of classical SVD and blocking algorithm
a multi-resolution analysis of eight-channel SVD of matrix is constructed.Each image involved in the fusion are decomposed into one approximation and seven detail images with different resolution by the eight channel multi-resolution singular value decomposition.Secondly
combined with reconstruction algorithm of MSVD
the frame of image fusion is given.The different frequency of original images can be shown in multi-resolution form.The low-frequency sub-image is fused by using an edge enhancement method of mathematical morphological gradient.For the seven high-frequency sub-images of each level
the energy of each image patch over 33 window in the high-frequency sub-images is computed as activity measurement.The center pixel of the 33 window in which the energy is bigger is selected as the new pixel of the fused result images.Finally
the performance of the result image is evaluated using objective numerical and graphics indices.The experimental results show that the proposed method has good visual effect and has no blocking-artifact.When compared with the fusion method based on DWT
LWT
Curvelet and Contourlet
the proposed fusion method has been observed to have higher definition.