基于双树复数小波变换的多帧迭代盲解卷积算法

提出一种基于双树复数小波变换的多帧迭代盲解卷积（IBD）算法。传统的单帧IBD算法收敛性和唯一性不确定,而且复原结果对初始估计很敏感。Zhulina提出的多帧迭代盲解卷积算法,其算法原理简单,并能处理各种不同类型PSF引起的图像降质;但是该算法收敛缓慢,并且只适合于处理高信噪比图像。本文基于双树复数小波变换的多尺度多方向特性,提出了一种基于双树复数小波变换的多帧IBD图像复原算法。本文算法运算速度快,且对噪声污染严重模糊图像恢复效果较好,观测数据实验结果证明了本文算法的优越性。

Multi-frame IBD Algorithm Based on the Dual-tree Complex Wavelet Transform

This paper presents a multi-frame IBD algorithm based on the Dual-Tree Complex Wavelet Transform（DT CWT）.The convergence and uniqueness of the traditional IBD algorithms are both uncertain,and the reconstructed result is very sensitive to the initial estimation.Zhulina proposed a multi-frame iterative blind deconvolution,which has a simple principle and can tackle with degraded images caused by different types of PSF.But it takes a long time to achieve convergence and needs many observations to get a preferable result.Furthermore,the algorithm is only suitable for images of the high Signal to Noise Ratio（SNR） because its sensitivity to the noises.Considering the multi-scale and good directional selectivity of the DT CWT,this paper presents the multi-frame IBD algorithm based on DT CWT.The algorithm works efficiently and it can clearly reconstruct badly degraded images blurred by noises.The experiment results prove the superiority of this algorithm.