关键词: 对偶树复小波变换, 椭圆方向窗, 自适应窗, 双重局部维纳滤波, 图像去噪

Abstract: In this paper,a new image denoising algorithm via doubly local Wiener filtering with windows based on Stationary Wavelet Transform（SWT） with the Dual Tree Complex Wavelet Transform（DTCWT） is proposed.In the first stage of Wiener filtering,the noisy image is decomposed by SWT.Then,the signal variances of wavelet coefficients are estimated in the elliptic windows.In the second stage of Wiener filtering,the image restored by Inverse SWT（ISWT） is decomposed by DTCWT.Then,the adaptive windows determined by the autocorrelation function of wavelet coefficients’ energy distribution are used to estimate the signal variance of wavelet coefficients.Finally,the image is restored by Inverse DTCWT（IDTCWT）.Experimental results and analysis are given to demonstrate the validity of the proposed algorithm.

Key words: DTCWT, elliptic directional windows, adaptive windows, doubly local Wiener filtering, noise reduction