An adaptive edge-preserving image denoising technique using patch-based weighted-SVD filtering in wavelet domain

Image denoising has always been one of the standard problems in image processing and computer vision. It is always recommendable for a denoising method to preserve important image features, such as edges, corners, etc., during its execution. Image denoising methods based on wavelet transforms have been shown their excellence in providing an efficient edge-preserving image denoising, because they provide a suitable basis for separating noisy signal from the image signal. This paper presents a novel edge-preserving image denoising technique based on wavelet transforms. The wavelet domain representation of the noisy image is obtained through its multi-level decomposition into wavelet coefficients by applying a discrete wavelet transform. A patch-based weighted-SVD filtering technique 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 achieves very impressive gain in denoising performance.     

基于小波变换的图像去噪研究

根据噪声能量在不同尺度、不同方向上的高频系数的分布差异,将全局阈值法改进为在不同尺度、不同方向采用不同的阈值进行去噪。该方法与全局软阈值与硬阈值相比,有更好的视觉效果。通过比较去噪图像的峰值信噪比和均方根误差的数据可以看出,此法较全局软、硬阈值法有更好的去噪效果。     

Preconditioned edge-preserving image deblurring and denoising

Preconditioned conjugate gradient (PCG) algorithms have been successfully used to significantly reduce the number of iterations in Tikhonov regularization techniques for image restoration. Nevertheless, in many cases Tikhonov regularization is inadequate, in that it produces images that are oversmoothed across intensity edges. Edge-preserving regularization can overcome this inconvenience but has a higher complexity, in that it involves non-convex optimization. In this paper, we show how the use of preconditioners can improve the computational performance of edge-preserving image restoration as well. In particular, we adopt an image model which explicitly accounts for a constrained binary line process, and a mixed-annealing algorithm that alternates steps of stochastic updating of the lines with steps of preconditioned conjugate gradient-based estimation of the intensity. The presence of the line process requires a specific preconditioning strategy to manage the particular structure of the matrix of the equivalent least squares problem. Experimental results are provided to show the satisfactory performance of the method, both with respect to the quality of the restored images and the computational saving.     

A survey of edge-preserving image denoising methods

Reducing noise has always been one of the standard problems of the image analysis and processing community. Often though, at the same time as reducing the noise in a signal, it is important to preserve the edges. Edges are of critical importance to the visual appearance of images. So, it is desirable to preserve important features, such as edges, corners and other sharp structures, during the denoising process. This paper presents a review of some significant work in the area of image denoising. It provides a brief general classification of image denoising methods. The main aim of this survey is to provide evolution of research in the direction of edge-preserving image denoising. It characterizes some of the well known edge-preserving denoising methods, elaborating each of them, and discusses the advantages and drawbacks of each. Basic ideas and improvement of the denoising methods are also comprehensively summarized and analyzed in depth. Often, researchers face difficulty in selecting an appropriate denoising method that is specific to their purpose. We have classified and systemized these denoising methods. The key goal of this paper is to provide researchers with background on a progress of denoising methods so as to make it easier for researchers to choose the method best suited to their aims.     

Adaptive image denoising using cuckoo algorithm

This paper presents a novel denoising approach based on smoothing linear and nonlinear filters combined with an optimization algorithm. The optimization algorithm used was cuckoo search algorithm and is employed to determine the optimal sequence of filters for each kind of noise. Noises that would be eliminated form images using the proposed approach including Gaussian, speckle, and salt and pepper noise. The denoising behaviour of nonlinear filters and wavelet shrinkage threshold methods have also been analysed and compared with the proposed approach. Results show the robustness of the proposed filter when compared with the state-of-the-art methods in terms of peak signal-to-noise ratio and image quality index. Furthermore, a comparative analysis is provided between the said optimization algorithm and the genetic algorithm.     

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.     

Blind separation of audio signals using trigonometric transforms and wavelet denoising

This paper deals with the problem of blind separation of audio signals from noisy mixtures. It proposes the application of a blind separation algorithm on the discrete cosine transform (DCT) or the discrete sine transform (DST) of the mixed signals, instead of performing the separation on the mixtures in the time domain. Wavelet denoising of the noisy mixtures is recommended in this paper as a preprocessing step for noise reduction. Both the DCT and the DST have an energy compaction property, which concentrates most of the signal energy in a few coefficients in the transform domain, leaving most of the transform domain coefficients close to zero. As a result, the separation is performed on a few coefficients in the transform domain. Another advantage of signal separation in transform domains is that the effect of noise on the signals in the transform domains is smaller than that in the time domain due to the averaging effect of the transform equations, especially when the separation algorithm is preceded by a wavelet denoising step. The simulation results confirm the superiority of transform domain separation to time domain separation and the importance of the wavelet denoising step.     

保边缘自蛇模型毫米波图像去噪

由于毫米波图像分辨率低并伴随有大量噪声,其图像边缘常被噪声污染或丢失,为此提出保边缘自蛇模型并应用于毫米波图像去噪。引入只在图像的边缘处具有最大值,且对噪声不敏感的非局部梯度,以此构造边缘停止函数,使其在图像边缘处接近0,而在平坦同质区域接近1;给出保边缘的自蛇模型迎风差分数字解法;提出毫米波图像去噪的定量评价算法性能指标。实验结果表明,该算法在等效视数和边缘清晰度性能指标上明显优于标准自蛇模型和保特征的各向异性扩散模型,具有较好的去噪效果和保边缘能力。     

基于小波变换和脊波变换的自适应图像去噪算法

为了克服单纯小波变换或脊波变换的不足,提出了基于小波变换和脊波变换的自适应去噪算法。实验结果表明,在处理点奇异性和线奇异性的图像时,该方法比单纯小波变换或脊波变换的阈值去噪算法更具优越性,在实际应用中更为有效。     

Ocean remotely sensed image analysis using two-dimensional continuous wavelet transforms

Ocean remote sensing is a useful way to obtain ocean wave information. Due to possible inhomogeneities from remotely sensed images, the current work proposes issues concerning ocean wave image analysis using the two-dimensional continuous wavelet transforms (2-D CWTs) to calculate local wave image spectra from inhomogeneous images. To optimize the algorithm of the 2-D CWT for wave image analysis, this work explores ideal parameter values for the wavelet function. The current study also analyses the limits of spatial image resolution and wave image size. After implementing the 2-D CWT on satellite and X-band radar images, this study presents local image spectra and ocean wave information from all the ocean images. These local image spectra reveal the phenomenon of wave refraction and wave nonlinearity nearshore. Compared to real wave spectra, the wavelet spectra present accurate results to describe local wave features in the spatial frequency domain.     

基于多小波域Besov球映射的SAR图像去噪算法

针对单小波域难以准确描述SAR图像不同平滑区域特征的不足,提出一种基于多小波域Besov球映射去噪算法。首先利用统一小波隐马尔可夫树模型和Besov标准求一组小波基Besov球半径,然后交替使用基于不同小波基的Besov球映射算法估计原始图像信息。实验结果表明,该算法具有很好的去噪效果和边缘结构保护能力,大大优于其他单一小波去噪算法。     

一种基于小波变换边缘保护的图像融合算法

提出一种基于小波变换的像素级图像融合算法。采用小波系数局部模极大和加权局部能量分析相结合的方法融合高频成分;用加权局部能量分析融合尺度系数。算法获得的融合图像具有很强的视觉表现能力。此算法不需要设置阈值,具有较强的泛化能力。对多聚焦图像进行的融合实验结果表明,基于小波系数局部模极大和局部能量分析相结合的高频融合策略较好地再现了图像中各种边缘信息;基于加权局部能量估计的低频融合策略有效地去除了原图像的模糊。融合后的图像在客观评价和主观视觉效果上均有显著提高。     

复Daubechies小波域HMT模型Bayesian图像去噪

提出了基于复Daubechies小波域隐马尔可夫树(SDW-HMT)模型Bayesian图像去噪算法,由于SDW小波是紧支撑、对称、正交小波,且具有近似线性相位,将其与HMT模型结合,能够更加准确地刻画小波系数的统计特征,在Bayesian图像去噪中获得很好的效果,仿真实例显示了所提算法的有效性。     

基于提升小波MRI图像自适应阈值去噪算法

分析了小波的消失矩特性对图像重构误差的影响,提出了利用提升算法提高双正交小波消失矩的改进算法。通过提升算法对传统小波提高消失矩,改善了小波的性能,使小波具有更好的振荡性,能够更好地捕捉图像的细节,从而提高了重构信号的精确度。根据磁共振图像的特点及其噪声的分布特性,提出了一种对小波系数进行分块处理的阈值去噪方法。通过对分解后每个层次上的各高频系数矩阵分为多个子矩阵分别进行不同阈值的选取,实现在不同的对比度区域选取不同的阈值的目的,从而使阈值的选取更具有自适应性。     

小波分析在图像降噪中的应用

针对图像在采集与传输中受到的噪声污染,为提高图像信噪比,提升图像准确性与实用性,基于小波分析应用在图像降噪领域的原理与优势,在Donoho阈值降噪方法基础上,提出了一种改进的图像降噪方法.应用改进公式,可以根据图像具体情况选择参数,获得更有效的阈值函数.该方法的优势在于计算小波系数方面,尤其是计算大的系数误差比小的系数误差要小,从而提高了降噪水平.通过Matlab仿真和实际图像降噪结果分析,该方法明显优于传统阈值降噪方法,主要体现在阈值选取灵活、边缘信息处理平滑、降噪效果好等方面.     

小波分析理论与图像降噪处理

简要介绍了小波分析基本理论中的小波变换和小波包变换,重点论述了小波分析在图像降噪处理中的应用及其算法流程。在此基础上,利用Matlab R2007进行了图像去噪仿真测试,并对仿真结果进行了分析。结果表明,利用小波分析理论进行图像降噪处理,能够取得较好的降噪效果。     

利用EMD的自适应图像去噪

为了在去噪的同时保证图像细节尽可能不被破坏,提出了利用经验模式分解（Empirical Mode Decomposition,EMD）的自适应图像去噪方法。对噪声图像按照列、行、左对角和右对角方向一维展开,分别进行EMD处理,采用提出的基于噪声标准差的自适应阈值对各个基本模式函数（Intrinsic Mode Function,IMF）进行局部硬阈值去噪,将去噪后的IMF进行反变换分别获得按照四个方向展开对应的去噪后图像,将它们加和平均得到去噪后图像。实验结果表明,提出的方法能够有效地去除图像的噪声并保留足够的图像细节。