本文提出基于拉普拉斯能量和的循环平移尖锐频率化Contourlet ( Sharp Frequency Localized Contourlet Transform-SFLCT)域多聚焦图像融合方法。SFLCT 成功减少了原始contourlet在远离支撑区间上出现的混叠成分。但是,SFLCT中的方向滤波器的降采样使得它缺乏频移不变性,容易在图像奇异处产生伪吉布斯现象。因此,本文采用循环平移(Cycle Spinning)来提高SFLCT的频移不变性。同时,本文将多聚焦空域融合方法中评价图像清晰的指标引入到SFLCT变换域,比较证明拉普拉斯能量和具有最好区分变换系数来自于清晰还是模糊图像的能力。因而,我们采用拉普拉斯能量来选择变换域系数,并重构得到融合图像。实验结果表明,针对多聚焦图像融合,所提方法在视觉效果和客观评价指标上都优于典型的空域分块拉普拉斯能量和方法、平移不变小波变换方法、循环平移小波变换方法和循环平移contourlet融合方法。
Abstract
Sum-modified-Laplacian-based multifocus image fusion algorithm in cycle spinning sharp frequency localized contourlet transform (SFLCT) domain is proposed in this paper. SFLCT successfully reduces significant amount of aliasing components of the original contourlet which are located far away from the desired support. However
downsamplers and upsamplers presented in directional filter banks of SFLCT make it not shift-invariant and easily cause pseudo-Gibbs phenomena around singularities. Thus
we apply cycle spinning to compensate for the lack of translation invariance property. Furthermore
typical measurements for multifocus image fusion in spatial domain are introduced into contourlet domain and Sum-modified-Laplacian (SML)
evidenced in this paper with the best capability to distinguish coefficients is from the clear parts or blurry parts of images
is employed in SFCLT subbands as measurement to compose coefficients of fused images. Experimental results demonstrate the proposed fusion method outperforms block-based spatial SML method
typical cycle spinning wavelet and shift-invariant wavelet methods
and typical cycle spinning contourlet methods in term of visual appearance and objective criteria for multifocus images.