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An improved fusion method for multi-focus images based on Ripplet transform

FENG Xin1,WANG Xiao-ming2,DANG Jian-wu3,SHEN Yu3(1.College of Mechanical Engineering,Chongqing Technology and Business University,Chongqing 400067,China; 2.Department of Electrical and Information Engineering,Lanzhou University of Technology,Lanzhou 730050,China;3.School of Electronic and Information Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)  
According to the defect that it is easy to produce the edge distortions and lose clear regional contrast in the fusing process for multi-focus images,this paper proposes a novel multi-focus image fusion algorithm.Firstly,this algorithm gets the decomposed high-frequency and low-frequency sub-band coefficients by the discrete Ripplet transform(type-I).For the low-frequency sub-band coefficients,it adopts the 3-layer non-subsampled contourlet transform(NSCT) to conduct coefficients fusion.For the high-frequency sub-band coefficients,the orthogonal matching pursuit(OMP) algorithm is used to seek the over-complete dictionary sparse representation coefficients.Then the coefficient vector activity rules are used to perform the efficient fusion and construct the corresponding coefficients matrix.Finally,the inverse Ripplet transform is used to get the final fused images.The experiment results show that this algorithm could better keep the multi-focus images edge contour and improve the contrast of the clear part,and in the objective evaluation,the algorithm of this paper has a certain advantage on mutual information and the degree of edge keeping.
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