基于小波域最大子节点相关性的图像去噪

图像经过小波分解后,真实信号的小波系数之间有很强的相关性,而噪声的小波系数之间的相关性较弱。此外大幅值的小波系数反映了图像的边缘信息。利用小波系数尺度间的关系以及大幅值小波系数,提出基于最大子节点2种相关系数的图像去噪方法。实验结果表明,该方法在去噪和保持纹理及边缘方面都明显优干传统相关系数去噪方法。     

基于复数小波变换增强带噪图像的空间自适应方法

针对目前的多尺度增强方法一般很难实现抑制噪声和凸显细节间有效均衡的问题,提出一种基于复数小波变换增强图像方法,充分利用复数小波兼具平移不变性和方向选择性的优势,首先通过相邻两层小波系数的相关性来有效区分噪声和图像边缘．并根据各层小波系数的分布设置局部阈值抑制噪声;在此基础上,自适应地选取增强函数来增强较弱的细节并保护原图像中的清晰边缘不产生失真．实验结果表明,运用该算法增强带噪图像可以在较好地抑制噪声的同时,显著地放大细节特征．     

利用小波多尺度积实现裂纹缺陷的边缘检测

提出了一种基于小波变换的图像边缘检测方法,即利用边缘信息的多尺度特性和小波变换模极大值对图像进行多尺度分解,将相邻尺度的小波系数相乘增强边缘,再通过双阈值去噪的方法,得到最终的图像边缘。实验结果表明该方法很好地解决了噪声和坏边的问题,边缘连续的同时又保证了边缘定位的准确性,采用双阈值的算法明显优于采用单阈值,可以有效用于结构件的检测。     

基于小波阈值的图像增强算法

本文针对传统的图像增强算法中存在的一些问题，如增强噪声、丢失细节、对比度差等，提出了一种基于小波变换的图像增强算法。图像经过多尺度小波分解后，得到不同尺度的小波系数，然后根据噪声在不同尺度的分布情况和小波系数的特点，对不同尺度的小波系数采用不同的小波阂值增强算法，最后进行小波重构，即可得到增强后的图像。经过仿真实验证明该方法可以有效地增强图像的细节信息，保持图像的边缘特征，改善图像的视觉效果。     

基于小波阈值的图像增强算法

本文针对传统的图像增强算法中存在的一些问题,如增强噪声、丢失细节、对比度差等.提出了一种基于小波变换的图像增强算法.图像经过多尺度小波分解后,得到不同尺度的小波系数,然后根据噪声在不同尺度的分布情况和小波系数的特点,对不同尺度的小波系数采用不同的小波阈值增强算法,最后进行小波重构,即可得到增强后的图像.经过仿真实验证明该方法可以有效地增强图像的细节信息,保持图像的边缘特征.改善图像的视觉效果.     

抗噪的多尺度形态学边缘检测算法

为了使图像边缘检测算法的抗噪声能力更强,能检测到更加丰富的边缘信息,在多尺度形态学边缘检测算法的基础上,提出一种抗噪的多尺度形态学边缘检测算法。一方面,用小波变换法替代常用的加权平均法来融合各尺度下获取的边缘图像,对小波分解后得到的低频系数和高频系数分别采取不同的融合策略,从而有效地保留边缘的细节信息,使得融合后获得的图像清晰且细节丰富。另一方面,在用不同尺度的结构元素检测图像边缘时都采用抗噪的检测算法,因此,该算法具有较强的抗噪声能力。仿真结果表明,该算法既能有效地降低噪声对检测结果的影响,又能获得较理想的边缘图像。     

基于状态权的小波边缘检测算法

提出了一种基于小波变换和各向异性扩散的图像多尺度边缘检测方法。对噪声图像进行小波变换,得到高频和低频小波系数。对高频小波系数归一化后进行各向异性扩散得到状态权,把该权值作用在原高频小波系数上,得到了既去除噪声又保持结构不变的小波系数。对低频小波系数直接用小波阈值方法去噪,利用小波系数模极大值法对去噪后的高频和低频小波系数进行边缘检测,得到最终的边缘图像。实验结果表明,该边缘检测方法由于结合了小波和各向异性扩散方法,从而有效地抑制了噪声,得到了连续、清晰的边缘。     

基于3次B样条小波变换的改进自适应阈值边缘检测算法

针对含噪声图像边缘提取问题,提出了一种改进NormalShrink自适应阈值去噪算法。该算法首先通过小波变换和局部模极大值法提取出可能包含图像边缘特征的小波系数,利用边缘像素之间特殊的空间关系以及噪声在各级小波分解尺度下的不同效应,构建适合各个尺度级的改进NormalShrink自适应阈值,并依此对提取出的小波系数进行筛选。实验结果表明,与改进的Candy算子和传统的NormalShrink自适应阈值相比,本方法提取出的图像边缘较为完整清晰,峰值信噪比提升约6 db。     

复小波域层内层间相关性图像去噪方法

提出了双树复小波变换域尺度内和尺度间复系数相关性图像去噪新方法。该方法利用双树复小波变换的多方向性和平移不变性对图像进行多尺度分解,采用邻域复系数微分窗对其高频方向子图进行尺度内复系数相关性建模,并按最小错误率贝叶斯决策规则进行分类和状态标识;再把复系数尺度内状态标识与复小波域隐马尔可夫树相结合,从而实现降噪功能。实验结果表明,该方法在峰值信噪比指标上优于传统的滤波方法,能有效地抑制噪声的同时,对图像边缘具有较好的保护能力。     

结合平稳小波变换和形态学的图像去噪算法

图像噪声去除是否有效将直接影响后续图像处理的质量,为了在消除噪声的同时保持图像边缘细节,提出一种结合平稳小波变换及形态学处理的新算法。该算法利用平稳小波相位不变性的特点,充分考虑小波系数的层内相关性;同时结合形态学的方法对图像的边缘信息进行估计;最后通过选择性质相似的区域进行阈值去噪。实验结果表明,该方法在降低了图像噪声的同时又有较好的视觉效果。     

Hybrid inter- and intra-wavelet scale image restoration

This paper exploits both the inter- and intra-scale interdependencies that exist in wavelet coefficients to improve image restoration from noise-corrupted data. Using an over-complete wavelet expansion, we group the wavelet coefficients with the same spatial orientation at several scales. We then apply the linear minimum mean squared-error estimation to smooth noise. This scheme exploits the inter-scale correlation information of wavelet coefficients. To exploit the intra-scale dependencies, we calculate the co-variance matrix of each vector locally using a centered square-shaped window. Experiments show that the proposed hybrid scheme significantly outperforms methods exploiting only the intra- or inter-scale dependencies. The performance of noise removal also depends on wavelet filters. In our experiments a biorthogonal wavelet, which best characterizes the image inter-scale dependencies, achieves the best results.     

一种有效保留图像细节的自适应图像消噪方法

针对更多保留图像细节信息有效滤除噪声的问题,分析了双密度双树复小波的变换原理及特点,推导了双变量萎缩函数,提出一种基于双密度双树复小波变换的局域自适应图像消噪算法。首先对含噪图像进行双密度双树复小波分解;后根据小波系数的统计特性以及层内和层间系数的相关性,采用结合局域方差估计的双变量萎缩函数对小波系数进行处理,并用处理后的小波系数重构图像。实验结果表明：该算法在滤除噪声的同时可保留更多的图像细节,极大地改善了图像的视觉质量。     

一种基于细尺度间小波系数相关性的图像去噪方法

图像去噪问题的研究一直是图像处理的热点问题.首先对噪声图像经小波分解后噪声小波系数在细尺度子带间的分布特点进行了研究,提出了一种结合尺度内和尺度间系数相关性的噪声统计模型--细尺度间噪声系数分布的"类零树结构",以及基于分块的Bayes阈值确定方法.在此基础上将二者相结合,提出了一种新的图像去噪方法.该方法首先通过Bayes阈值去噪法去除高层子带中的噪声,同时利用基于块阈值方法定位次外层子带中的噪声位置,然后利用"类零树结构"模型,估计对应的最外层子带中的噪声的分布,并进行相应的去噪处理.实验结果表明,该方法稳定、有效,去噪效果优于传统Bayes逐点阚值去噪方法,且具有较低的时间复杂度.     

Image denoising in extended Shearlet domain using hidden Markov tree models

Denoising of images is one of the most basic tasks of image processing. It is a challenging work to design an edge-preserving image denoising scheme. Extended discrete Shearlet transform (extended DST) is an effective multi-scale and multi-direction analysis method; it not only can exactly compute the Shearlet coefficients based on a multiresolution analysis, but also can provide nearly optimal approximation for a piecewise smooth function. In this paper, a new image denoising approach in extended Shearlet domain using hidden Markov tree (HMT) model is proposed. Firstly, the joint statistics and mutual information of the extended DST coefficients are studied. Then, the extended DST coefficients are modeled using an HMT model with Gaussian mixtures, which can effectively capture the intra-scale and inter-scale dependencies. Finally, the extended Shearlet HMT model is applied to image denoising. Extensive experimental results demonstrate that our extended Shearlet HMT denoising method can obtain better performances in terms of both subjective and objective evaluations than other state-of-the-art HMT denoising techniques. Especially, the proposed method can preserve edges very well while removing noise.     

改进阈值与尺度间相关的小波红外图像去噪

为了更有效地去除红外图像中的噪声, 提出一种基于改进阈值与尺度间相关的小波红外图像去噪方法. 一方面利用阈值修正方案和新阈值函数对通常的小波阈值去噪法进行改进; 另一方面通过对阈值邻近的小波系数进行小波变换尺度间相关性估计, 提高小波系数阈值判断的准确性.实验结果表明, 与通常的小波阈值去噪法相比,该算法能更有效地去除红外图像中的噪声, 获得更高的峰值信噪比(Peak signal-to-noise ratio, PSNR)、边缘保持指数(Edge preserved index, EPI)和更好的视觉效果,具有较好的实用性.     

A new wavelet-based fuzzy single and multi-channel image denoising

In this paper, we propose a new wavelet shrinkage algorithm based on fuzzy logic. In particular, intra-scale dependency within wavelet coefficients is modeled using a fuzzy feature. This feature space distinguishes between important coefficients, which belong to image discontinuity and noisy coefficients. We use this fuzzy feature for enhancing wavelet coefficients' information in the shrinkage step. Then a fuzzy membership function shrinks wavelet coefficients based on the fuzzy feature. In addition, we extend our noise reduction algorithm for multi-channel images. We use inter-relation between different channels as a fuzzy feature for improving the denoising performance compared to denoising each channel, separately. We examine our image denoising algorithm in the dual-tree discrete wavelet transform, which is the new shiftable and modified version of discrete wavelet transform. Extensive comparisons with the state-of-the-art image denoising algorithm indicate that our image denoising algorithm has a better performance in noise suppression and edge preservation.     

PDTDFB变换和双变量模型在图像去噪中的应用

对金字塔复方向滤波器组和贝叶斯最大后验估计理论架构下的双变量模型进行研究的基础上,结合二者的优点,提出一种新的图像去噪算法。PDTDFB（Pyramidal Dual-Tree Directional Filter Bank）变换具有近似时移不变性、多尺度、多方向选择性好的特点;双变量模型充分突出图像分解后系数的尺度内和尺度间的双重相关性;对噪声估计方法做出了详细阐述。仿真实验表明,与已有的多尺度理论（如：轮廓波等）和一些典型的图像去噪算法相比较,该算法的客观评价指标PSNR以及去噪后图像的主观视觉效果都有明显的提高和改善,能有效地保留原始图像的纹理和细节信息。     

Wavelet-based image denoising with the normal inverse Gaussian prior and linear MMSE estimator

A new spatially adaptive wavelet-based method is introduced for reducing noise in images corrupted by additive white Gaussian noise. It is shown that a symmetric normal inverse Gaussian distribution is highly suitable for modelling the wavelet coefficients. In order to estimate the parameters of the distribution, a maximumlikelihood- based technique is proposed, wherein the Gauss?Hermite quadrature approximation is exploited to perform the maximisation in a computationally efficient way. A Bayesian minimum mean-squared error (MMSE) estimator is developed utilising the proposed distribution. The variances corresponding to the noisefree coefficients are obtained from the Bayesian estimates using a local neighbourhood. A modified linear MMSE estimator that incorporates both intra-scale and inter-scale dependencies is proposed. The performance of the proposed method is studied using typical noise-free images corrupted with simulated noise and compared with that of the other state-of-the-art methods. It is shown that the proposed method gives higher values of the peak signal-to-noise ratio compared with most of the other denoising techniques and provides images of good visual quality. Also, the performance of the proposed method is quite close to that of the state-of-the-art Gaussian scale mixture (GSM) method, but with much less complexity.     

On the statistical decorrelation of the 2D discrete wavelet transform coefficients of a wide sense stationary bivariate random process

We present a second order statistical analysis of the 2D Discrete Wavelet Transform (2D DWT) coefficients. The input images are considered as wide sense bivariate random processes. We derive closed form expressions for the wavelet coefficientsʼ correlation functions in all possible scenarios: inter-scale and inter-band, inter-scale and intra-band, intra-scale and inter-band and intra-scale and intra-band. The particularization of the input process to the White Gaussian Noise (WGN) case is considered as well. A special attention is paid to the asymptotical analysis obtained by considering an infinite number of decomposition levels. Simulation results are also reported, confirming the theoretical results obtained. The equations derived, and especially the inter-scale and intra-band dependency of the 2D DWT coefficients, are useful for the design of different signal processing systems as for example image denoising algorithms. We show how to apply our theoretical results for designing state of the art denoising systems which exploit the 2D DWT.