Adaptive edge-preserving image denoising using wavelet transforms

Image denoising is a relevant issue found in diverse image processing and computer vision problems. It is a challenge to preserve important features, such as edges, corners and other sharp structures, during the denoising process. Wavelet transforms have been widely used for image denoising since they provide a suitable basis for separating noisy signal from the image signal. This paper describes a novel image denoising method based on wavelet transforms to preserve edges. The decomposition is performed by dividing the image into a set of blocks and transforming the data into the wavelet domain. An adaptive thresholding scheme based on edge strength is used to effectively reduce noise while preserving important features of the original image. Experimental results, compared to other approaches, demonstrate that the proposed method is suitable for different classes of images contaminated by Gaussian noise.     

基于修正维纳滤波的小波包变换图像去噪

图像去噪是图像处理中一个非常重要的环节。为了改善降质图像质量,根据Donoho提出的小波阈值去噪算法,分析了维纳滤波原理,提出了一种基于修正维纳滤波的小波包变换图像去噪方法。利用修正维纳滤波对噪声图像进行处理,用处理后的图像计算噪声的标准方差,以此作为小波包的阈值。利用小波包对维纳滤波后的图像进行分解,实现对图像的低频和高频部分分别进行分解,用计算出的阈值对小波包树系数进行软阈值处理。利用小波包逆变换来获取去噪后的图像。结果表明：在噪声方差为0.01时,经该算法去噪后图像的PSNR比小波包自适应阈值去噪后的PSNR高出8.8 dB。该算法不仅能有效地去除加性高斯白噪声,而且能很好地保留边缘信息,极大地改善了图像的视觉质量。     

Image denoising with neighbour dependency and customized wavelet and threshold

Image denoising by means of wavelet transforms has been an active research topic for many years. For a given noisy image, which kind of wavelet and what threshold we use should have significant impact on the quality of the denoised image. In this paper, we use Simulated Annealing to find the customized wavelet filters and the customized threshold corresponding to the given noisy image at the same time. Also, we propose to consider a small neighbourhood around the customized wavelet coefficient to be thresholded for image denoising. Experimental results show that our approach is better than VisuShrink, our NeighShrink with fixed wavelet, and the wiener2 filter that is available in Matlab Image Processing Toolbox. In addition, our NeighShrink with fixed wavelet already outperforms VisuShrink for all the experiments.     

Image denoising using statistical model based on quaternion wavelet domain

Image denoising is the basic problem of image processing.Quaternion wavelet transform is a new kind of multiresolution analysis tools.Image via quaternion wavelet transform,wavelet coefficients both in intrascale and in interscale have certain correlations.First,according to the correlation of quaternion wavelet coefficients in interscale,non-Gaussian distribution model is used to model its correlations,and the coefficients are divided into important and unimportance coefficients.Then we use the non-Gaussian distribution model to model the important coefficients and its adjacent coefficients,and utilize the MAP method estimate original image wavelet coefficients from noisy coefficients,so as to achieve the purpose of denoising.Experimental results show that our algorithm outperforms the other classical algorithms in peak signal-to-noise ratio and visual quality.     

基于改进阈值函数的分数阶小波图像去噪

为了消除噪声对图像的影响并较好地保留图像细节信息,提出一种基于改进阈值函数的分数阶小波图像去噪方法。该方法通过分数阶小波变换将含噪信号进行多尺度分解,采用改进的阈值函数对各层分数阶小波域系数进行处理,对处理后的系数进行重构得到去噪后的信号。仿真实验表明,相比已有的软阈值、硬阈值和均值加权法,本文方法去噪后的图像信噪比较大、均方误差较小,取得了满意的视觉效果,是一种实用的去噪方法。     

小波图象去噪综述

小波图象去噪已经成为目前图象去噪的主要方法之一。在对目前小波去噪文献进行理解和综合的基础上，首先通过对小波去噪问题的描述，揭示了小波去噪的数学背景和滤波特性；接着分别阐述了目前常用的3类小波去噪方法，并从小波去噪中常用的小波系数模型、各种小波变换的使用、小波去噪和图象压缩之间的联系，不同噪声场合下的小波去噪等几个方面，对小波图象去噪进行了综述，最后，基于对小波去噪问题的理解，提出了对小波去噪方法的一些展望。     

Detrended fluctuation thresholding for empirical mode decomposition based denoising

Signal decompositions such as wavelet and Gabor transforms have successfully been applied in denoising problems. Empirical mode decomposition (EMD) is a recently proposed method to analyze non-linear and non-stationary time series and may be used for noise elimination. Similar to other decomposition based denoising approaches, EMD based denoising requires a reliable threshold to determine which oscillations called intrinsic mode functions (IMFs) are noise components or noise free signal components. Here, we propose a metric based on detrended fluctuation analysis (DFA) to define a robust threshold. The scaling exponent of DFA is an indicator of statistical self-affinity. In our study, it is used to determine a threshold region to eliminate the noisy IMFs. The proposed DFA threshold and denoising by DFA–EMD are tested on different synthetic and real signals at various signal to noise ratios (SNR). The results are promising especially at 0 dB when signal is corrupted by white Gaussian noise (WGN). The proposed method outperforms soft and hard wavelet threshold method.     

基于改进小波阈值法的图像去噪算法

图像去噪是图像处理中最基本、最重要的前期工作,本文提出一种基于衰减法的Garrote阈值函数,并将基于该改进阈值函数的小波阈值法用于图像去噪过程,最后通过MATLAB仿真实验验证了本文所提出算法的有效性.本文在分析小波阈值法对图像去噪效果影响的基础上,针对该去噪算法在去除噪声的同时也损失了一定量的图像细节信息的问题,改进了传统阈值函数未考虑阈值以下的小波系数可能含有图像细节信息而对阈值以下小波系数盲目置零的缺点,对Garrote阈值函数阈值以下的小波系数采取衰减方法,以保留更多的图像细节信息,并加入三个调整因子以提高其性能和灵活度,实验表明本文提出的改进小波阈值去噪算法能够有效地去除噪声,且能够保留大量的图像边缘及细节信息.     

利用多小波的改进多层阈值对超声图像降噪

医学超声图像存在特有的斑点噪声,大大降低了图像质量,必须进行降噪处理。多小波具有比单小波分解更加精确、去噪效果更好的特点。对超声图像进行分形插值多小波分解,根据多小波分解后的能量分布特性,提出了改进多层阈值与模糊聚类相结合方法,将小波系数模糊聚类分成噪声和信号两类,然后在不同尺度对信号小波系数进行不同阈值萎缩处理,实现降噪目的。结果表明该方法优于硬阈值和软阈值法,可有效地降低图像斑点噪声并保留图像细节。     

Adaptive singular value decomposition in wavelet domain for image denoising

Image denoising is an important issue in image preprocessing. Two popular methods to the problem are singular value decomposition (SVD) and wavelet transform. Various denoising algorithms based on these two methods have been independently developed. This paper proposes an approach for image denoising by performing SVD filtering in detail subbands of wavelet domain, where SVD filtering is adaptive to the inhomogeneous nature of natural images. Comparisons were made with respect to both SVD-based filtering methods and wavelet transform-based methods.     

基于稀疏性的图像去噪综述*

利用图像的稀疏与冗余表达模型去噪是当前较为新颖的去噪方法,在对国内外稀疏模型去噪文献进行理解和分析的基础上,回顾稀疏性去噪研究的发展,阐明稀疏去噪的原理与降噪模型。总结用于稀疏去噪中的各类方法,介绍利用稀疏性在图像去噪中的分解与重构过程,并将小波法去噪、多尺度几何分析法去噪、独立成分法去噪中所涉及的传统稀疏性与当前的稀疏与冗余表达模型去噪对比分析。最后基于对稀疏性去噪方法的分析,提出对稀疏去噪研究方法的一些展望。     

基于小波变换的图像去噪

近年来,采用小波变换进行图像去噪已成为一个活跃的研究课题。针对传统去噪方法的缺陷,从理论上推导了二维小波分解和重构具体算法,研究了小波图像去噪的基本理论和方法,在此基础上利用Matlab7．0．1对含有两种不同高斯白噪声的图像进行了仿真实验,实验表明,基于小波变换的图像去噪可以有效地提高图像的去噪效果。     

基于U-Net融合的保留纹理的图像去噪方法

图像的噪声阻碍了高级视觉任务对图像的理解,且去除图像的噪声是一个具有挑战性的任务.现有的基于卷积神经网络的图像去噪方法在去除噪声的同时,对图像纹理会引入一定程度的破坏,导致去噪后图像无法保留图像的纹理.为了解决这个问题,本文提出一种用二分支U-Net网络来融合特征和保留纹理的图像去噪方法.首先选取一种去噪方法的两个不同去噪参数的预训练模型分别得到同一张噪声图像的不同去噪结果,其中一个结果中去噪效果比纹理保留效果好,另一个结果中纹理保留比去噪效果好.然后将这两个去噪图像作为卷积神经网络的输入,利用两个编码器分别提取图像的特征,并同时放入融合模块融合图像的特征,最后利用解码器重建出无噪声图像.实验结果表明,与现有的方法相比本文的方法更有效,在去除噪声的同时能保留更多的图像纹理信息.     

基于PCA的图像小波去噪方法

目前使用的各种小波去噪方法基本上都是建立在对噪声方差精确估计的基础上，而对噪声方差的精确估计是很困难的．提出了一种采用主分量分析（PCA）提取小波系数的主要特征，通过对小波域中噪声能量的估计来实现去噪的新方法．首先利用PCA对小波高频子带进行局部特征提取；然后以主分量对小波系数进行重建的平均能量作为局部噪声能量的估计；将原小波系数的能量减去噪声能量，就得到去噪后的小波系数；最后用小波逆变换对剔除噪声分量后的小波系数进行恢复得到去噪后的图像．本文算法无需对噪声方差进行估计，因而更具实用价值．本文算法与“软阈值”、“硬阈值”去噪方法相比，峰值信噪比（PNNR）提高了2～8dB．实验证实了本文算法良好的去噪性能。     

基于新阈值函数和小波分析的数字图像去噪方法

在数字图像处理过程中消除和减弱噪声对信号具有很重要的影响。中值滤波是传统的减少图像噪声,提高图像质量的可行方法。文章研究了中值滤波及其改进算法在图像去噪中的应用,基于小波分析基础理论和数字图像信号的小波变换分解重构原理,通过对小波分解系数选定恰当的阈值并进行阈值量化,基于小波分解后的高低频系数进行信号重构,从而有效去除或降低信号的噪声。本文采取的算法在MATLAB仿真平台进行了验证,结果表明,基于本文提出的阈值函数和小波分析处理方法对图像去噪具有更好的适应性,能够更好的改善数字图像的质量。     

多帧融合自适应核回归图像去噪

图像去噪是数字图像处理的重要内容,常用的传统方法包括空域中值滤波和维纳滤波,近年来基于小波变换、核回归等的去噪方法备受关注,基于单帧处理的实验发现核回归方法有更好的去噪效果。在理论上将核回归方法推广到多帧情况,并进行了对比实验,结果表明多帧处理能够进一步改进去噪效果。     

形态小波域声呐图像谱聚类去噪算法研究

针对声呐图像噪声污染严重的问题,在基于形态小波的声呐图像去噪方法中引入了谱聚类算法以实现低信噪比下图像的去噪.给出基于形态中点小波的声呐图像去嗓法,在此基础上引入谱聚类的概念,针对谱聚类能快速实现数据分类的特点,对形态中点小波分解后的高频小波系数进行分类,使得包含噪声与细节信号部分的小波系数得以分离.对分离后的两类小波...     

Development of acoustic denoising learning network for communication enhancement in construction sites

This paper presents a novel denoising approach based on deep learning and signal processing to improve communication efficiency. Construction activities take place when different trades come to the site for overlapped periods to perform their works, which may easily produce hazardous noise levels. The existence of noise affects workers' health issues, especially hearing and rhythm of the heart, and impacts communication efficiency between workers. The proposed approach employs signal processing technique to transform the noisy audio into image and utilize neural networks to extract noisy features and denoise the image. The denoised image is then converted to obtain the denoised audio. Experiments on reducing the side effect of several common noises in construction sites were conducted, compared with the performance of denoising using conventional wavelet transform. Standard objective measures, such as signal-to-noise ratio (SNR), and subjective measures, such as listening tests are used for evaluations. Our experimental results show that the proposed algorithm achieved significant improvements over the traditional method, as evidenced by the following quantitative results of median value: MSE of 0.002, RMSE of 0.049, SNR of 5.7 dB, PSNR of 25.8 dB, and SSR of 8.Results indicate that the proposed algorithm outperforms conventional denoising methods in terms of both objective and subjective evaluation metrics and have the potential to facilitate communication between site workers when facing different noise sources inevitably.     

结合分块噪声估计的字典学习图像去噪算法

图像去噪是图像处理领域的重要环节,也是对图像进行后续处理的基础。近年来K-SVD字典学习去噪算法因其耗时短、去噪效果好的特点得到广泛关注和应用。但该算法的适用条件为图像的噪声为加性噪声且噪声标准差已知。针对这一情况,本文先提出一种平滑图像块筛选方法,并将其与奇异值分解(Singular Value Decomposition, SVD)相结合实现对图像的噪声标准差估计。再将得到的噪声估计方法与K-SVD字典学习去噪算法结合起来,提出一种具备噪声估计特性的K-SVD字典学习去噪算法。对多种图像的去噪实验结果表明,与Donoho小波软阈值去噪算法、全变分(Total Variation, TV)去噪算法相比,本文算法不仅能够使去噪后图像的峰值信噪比提升1~3dB,并且能较好地保留图像的细节信息和边缘特征。     

基于排列熵的振动信号小波包阈值去噪研究

工程实践中的振动信号往往存在噪声干扰而导致信号特征信息无法显露,传统小波包软、硬阈值函数去噪形式固定,无法依据信号小波包分解系数的噪声干扰情况进行调整.据此,提出一种新的介于软、硬阈值函数之间的改进小波包阈值函数,并将排列熵作为信号含噪情况表征参数引入阈值函数中.对信号小波包系数进行排列熵计算,并依据该值对阈值函数进行自适应调整,使得新的阈值函数能够对含噪较多的小波包系数进行大尺度收缩而对含实际信号特征较多的小波包系数尽可能地保留,从而达到最佳的去噪效果.对滚动轴承振动实验信号的去噪分析,并与其他方法进行对比,验证了该方法的有效性与优越性.