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Multimed Tools Appl (2016) 75:1058310593
DOI 10.1007/s11042-014-1942-1
Peng Geng & Min Huang & Shuaiqi Liu & Jun Feng & Peina Bao
Published online: 18 March 2014# Springer Science+Business Media New York 2014
Abstract The curvelet transform can represent images at both different scales and different directions. Ripplet transform, as a higher dimensional generalization of the curvelet transform, provides a new tight frame with sparse representation for images with discontinuities along C2 curves. However, the ripplet transform is lack of translation invariance, which causes the pseudo-Gibbs phenomenon on the edges of image. In this paper, the cycle spinning method is adopted to suppress the pseudo-Gibbs phenomena in the multifocus image fusion. On the other hand, a modified sum-modified-laplacian rule based on the threshold is proposed to make the decision map to select the ripplet coefficient. Several experiments are executed to compare the presented approach with other methods based on the curvelet, sharp frequency localized contourlet transform and shearlet transform. The experiments demonstrate that the presented fusion algorithm outperforms these image fusion works.
Keywords Ripplet transform . Cycle spinning . Image fusion
Image fusion is a process that combines two or more source images to form a new sharper and more credible image. Using certain algorithms, image fusion produces a fused image containing the best aspects of the images [12]. In recent years, multiscale geometry analysis methods have been widely used in the field of image fusion [10]. Because the wavelet transform has the property of the multi-scale and time-frequency local features, it can efficiently represent a signal with 1D singularity. However, since the 2D wavelet transform is just a tensor product of
P. Geng (*) : J. Feng : P. Bao
School of Information Science and Technology, Shijiazhuang Tiedao University, Shijiazhuang 050043, Chinae-mail: [email protected]
M. Huang
College of Biomedical Engineering, South-Central University for Nationalities, Wuhan 430000, China
S. Liu
Institute of Information Science, Beijing Jiaotong University, Beijing 100044, China
S. Liu
College of Electronic and Communication Engineering, Tianjin Normal University, Tianjin 300387, China
Multifocus image fusion method of Ripplet transform based on cycle spinning
10584 Multimed Tools Appl (2016) 75:1058310593
two 1D wavelet transforms, it does not resolve well singularities of image along arbitrarily shaped curves in an image. To overcome the limitation of wavelet, Cands...