Image denoising with complex ridgelets

In this paper, we propose a novel image denoising method by incorporating the dual-tree complex wavelets into the ordinary ridgelet transform. The approximate shift invariant property of the dual-tree complex wavelet and the high directional sensitivity of the ridgelet transform make the new method a very good choice for image denoising. We apply the digital complex ridgelet transform to denoise some standard images corrupted with additive white noise. Experimental results show that the new method outperforms VisuShrink, the ordinary ridgelet image denoising, and wiener2 filter both in terms of peak signal-to-noise ratio and in visual quality. In particular, our method preserves sharp edges better while removing white noise. Complex ridgelets could be applied to curvelet image denoising as well.     

Improved Bayesian image denoising based on wavelets with applications to electron microscopy

In this work we discuss an improvement of the image-denoising wavelet-based method presented by Bijaoui [Wavelets, Gaussian mixtures and Wiener filtering, Signal Process. 82 (2002) 709-712]. We show that the parameter estimation step can be replaced by a constrained nonlinear optimization. We propose three different methods to estimate the parameters. As in Bijaoui's original article, two of them deal with white noise. We show that the resulting algorithms improve the one originally proposed. Our third method extends the applicability of the denoising algorithm to colored noise. We test our algorithms with images simulating electron microscopy (EM) conditions as well as experimental EM images.     

Bayesian wavelet denoising and evolutionary calibration

Wavelet shrinkage estimation has become an attractive and efficient method for signal denoising and compression. Despite the ample variety of methods which have been used in the wavelet denoising context, it has proven elusive to construct threshold estimators with good adaptive properties. Recently, empirical Bayes selection criteria have been proposed to derive adaptive shrinkage estimators. We consider the application of empirical Bayes variable selection criteria to each level of the wavelet transform to obtain adaptive threshold estimates. A set of level-dependent hyperparameters has to be estimated to derive nonlinear data-dependent thresholding rules. We propose the use of an evolutionary algorithm to calibrate the multilevel parameters, in order to automate parameter selection and enhance adaptivity of the threshold estimators. Comparative simulations on a set of standard model functions show good performance. Applications to data drawn from various fields of application are used to explore the practical performance of the proposed approach.     

基于小波阈值去噪算法的研究

在D.L.Dohono和I.M.Johnstone提出的多分辨分析小波阈值去噪方法的基础上,提出了一种新的阈值函数。与传统的硬阈值和软阈值比,该函数不仅易于计算,而且具有优越的数学特性和清晰的物理意义。实验结果表明,该方法可以有效地去除白噪声干扰,无论在视觉效果上还是在信噪比和均方误差定量指标上均明显优于常用的软、硬阈值及改进的软硬阈值折中算法,充分体现出小波阈值去噪方法的优越性。     

小波阈值去噪算法的新改进

在D.L.Donoho和I.M.Johnstone提出的多分辨分析小波阈值去噪方法的基础上,提出了一种新的阈值函数。与传统的硬阈值、软阈值、半软阈值以及已有的改进阈值函数相比,该函数不仅易于计算,而且具有优越的数学特性。通过Heavisine和Droppler信号的仿真实验表明,新的阈值函数可以有效地去除白噪声干扰,无论在视觉效果上还是在信噪比和均方误差定量指标上,均优于上述几种去噪方法,具有较高的实用价值。     

Wiener filter-based wavelet domain denoising

The wavelet domain Wiener filter has been widely adopted as an effective image denoising method that has low complexity. In this paper we propose a novel Wiener filter with high-resolution estimation that determines the signal power while preserving the edge information. We assume that a noisy image is composed of noise and the original image, which are mutually orthogonal. Based on this assumption, we utilize the local covariance to obtain high-resolution coefficients from the low-resolution coefficients and to estimate the signal variance in the Wiener filter by using the high resolution values. The experimental results show that the proposed algorithm improves the objective and subjective performance significantly.     

基于小波阈值的非局部均值去噪

非局部均值去噪算法充分利用了图像的全局信息,因此比传统的局部去噪算法有着更好的去噪效果。但是,非局部均值去噪算法计算时间复杂度较高,故利用小波阈值的方法对其进行改进,改进后使用非局部均值处理的数据量大幅减小。实验表明,改进后的算法比非局部均值算法去噪效果基本持平,且运行速度更快。     

基于改进的小波阈值技术MRI图像去噪

提出了一种改进的小波阈值处理的核磁共振成像（MRI）医学图像的去噪方法。结合图像的特点并利用小波系数的区域相关性,对小波阈值处理方法进行了改进,根据信号和噪声系数的不同分别处理,克服了传统小波变换不足。结果表明该方法在有效去除噪声的同时,较好保留了MRI图像的细节,有利于医学的诊断。     

全变分的分块小波阈值图像去噪

针对全变分算法对平滑区域抑噪不充分及小波阈值算法易造成边缘模糊的缺陷,提出了全变分的分块小波阈值算法。首先利用全变分粗去噪算法对含噪图像去除幅度较大的噪声,再利用分块小波阈值算法抑制残余噪声。实验结果表明,在图像边缘得到保护的同时较好地抑制了平坦区域的残余噪声,与传统算法相比,峰值信噪比和视觉效果都得到明显提高。     

基于改进小波阈值-CEEMDAN算法的ECG信号去噪研究

Electrocardiogram (ECG) signal denoising has always been a hot research issue. In order to eliminate the noises in ECG signal, a denoising method based on adaptive complete set empirical mode decomposition (CEEMDAN) and wavelet improved threshold function is proposed. Firstly, this method firstly decomposes the ECG signal by CEEMDAN to obtain a set of intrinsic modal functions (IMFs) from high frequency to low frequency. CEEMDAN decomposition is performed on ECG signal to yield several modal components (IMF). Secondly, the correlation coefficient method is used to perform wavelet denoising with improved threshold on the high frequency IMFs. For the low frequency IMFs, by setting a fixed threshold, the IMFs below the threshold is considered to be the baseline drift signal and removed. Finally, the denoised IMFs and the retained IMFs are reconstructed. The experimental results show that the proposed method is more effective than the empirical mode decomposition (EMD) wavelet denoising, and the global average empirical mode decomposition (EEMD) wavelet denoising method.     

改进小波阈值算法在电机振动信号降噪中的应用

针对采集的电机振动信号中夹杂着噪声干扰的问题,提出一种基于贝叶斯估计的小波收缩新阈值的电机振动信号降噪方法。新阈值考虑了振动信号经小波变换后在不同尺度上的去噪特性,更符合噪声在各层中的分布情况;改进阈值函数对振动信号进行降噪处理,较好地弥补了各阈值函数的缺陷,保证了阈值函数的连续性,并且可以灵活调节阈值以适应不同噪声情况,同时解决了固有阈值函数带来的偏差问题,很好地保护了含噪信号的有用信息。     

小波阈值去噪技术研究及其在信号处理中的应用

阈值函数的选取以及阈值的确定是小波收缩消噪的关键问题,阐述了小波变换及小波阈值去噪的基本原理.基于噪声和信号在小波变换下表现出截然不同的性质:噪声对应的小波变换系数将随着尺度的增大迅速衰减,建立了小波收缩消噪的统一框架.在该框架下总结了各种阈值函数的形式以及阈值确定的方式,研究了它们的性能及特点.仿真实验结果表明,该方法既能有效地去除信号噪声,又能较好地保留原信号中的突变信息.     

基于自适应小波阈值的心电信号降噪方法

多尺度分析对于小波阈值的选取以及小波函数的设计依赖性较强,针对不同个体心电信号的降噪效果差异性较大。提出一种自适应的小波阈值计算和选取方法,该方法在启发式阈值优化方法基础上融入了小波分解层数和层级影响因子,通过动态调整每一层小波系数的阈值计算函数实现更加合理的信号分解与降噪处理。实验结果表明所提出算法在心电信号降噪效果方面获得了较好的表现,能够满足临床应用需求。     

基于迭代算法的小波阈值图像去噪研究

在图像的小波阈值去噪中,为了提高阈值的准确度,引入了迭代算法。实验结果表明,与普通的小波阈值去噪方法相比,该方法不但可以大量保留图像的边缘信息,而且减小降噪图像与原图像的误差。     

基于连续且自适应小波阈值的图像去噪方法

阈值的选取是小波域图像去噪的关键技术之一,但传统的阈值各有其缺陷。提出了一种连续可导的阈值量化方法和具有自适应性的阈值计算方法。用三次多项式在硬阈值的基础上插值,使新的阈值函数保持了连续性和可导性。按Birge-Massart规则分层计算阈值,使阈值具有良好的局部自适应性。通过实验表明,该方法去噪后的图像主观视觉效果和峰值信噪比均比传统算法优越。     

一种基于图像区域分割的小波去噪方法

提出一种基于区域分割的图像去噪方法。该方法利用具有平移不变性的DWT去噪法和NeighShrink_ SURE去噪法对平滑图像和纹理图像分别具有良好去噪效果,遂将含噪图像进行区域分割得到平滑、突变和过渡三个区域,最终去噪图像的三个区域分别由两种方法得到的去噪图像加权来确定。实验结果显示,该方法利用了前两种算法的优点,得到了具有较高峰值信噪比、较完整保留图像细节而且具有更佳视觉效果的去噪图像。     

一种新的小波半软阈值图像去噪方法

在小波半软阈值图像去噪方法基础上,提出了一种基于自适应局部相关系数的新方法。该方法在软阈值法和硬阈值法之间有很好的折衷,通过加入局部相关系数,使其在各种小波变换中均能增强子带内小波系数的相关性。在阈值选取中选用了基于Bayes风险估计的自适应阈值和具有统计意义上的阈值方法,获得了小波系数不同子带不同方向的最优估计。实验结果显示,该方法去噪效果显著,同时能够改善小波变换所造成的图像视觉失真和边缘振荡效应,更好地保留了图像边缘和细节纹理特征。该方法可通过调节局部相关系数控制图像去噪程度和效果,能满足不同需求,具有很高的实用价值。     

基于小波系数关系的图像去噪方法

为了在保留图像边缘信息的同时,尽可能地去除图像噪声,提出一种基于小波系数尺度间和尺度内关系的去噪方法。该方法使用小波系数的相关系数和邻域小波系数的平均幅值来分别表示小波系数的尺度间和尺度内关系,并以此来辨别出图像的边缘信息和噪声;同时提出了一种阈值函数来处理图像的小波系数。实验表明该方法能取得较高的信噪比,并能保存图像的一些细节信息。     

改进的小波阈值在电能质量信号去噪中的应用

针对硬阈值去噪效果不佳,软阈值过度光滑使信号失真的缺点,提出了一种改进的自适应的阈值去噪方法。该算法将数理统计与信号和噪声的小波系数的分布规律和传播特点及噪声的标准差贡献率结合起来,对阈值门限进行了改进,并采用软阈值函数对信号进行处理,实现了其去噪的功能。结果表明,改进后的算法对电能质量信号进行消噪处理,信噪比增益和均方误差上均优于传统阈值算法及一些改进后的阈值算法,而且能够较好地保留电能质量信号的特征信息。