一种基于小波域系数收缩的图像降噪改进算法

本文根据小波变换中分解级数与噪声在小波域中的特性,利用具有平移不变性的稳态小波分解方法,将Donoho的小波系数收缩算法用于局部小波系数的处理,并提出了一种具有自适应特性的阈值设定方法.这种方法由于考虑到了局部小波系数的变化特点和图像中信息分布的不均匀性,对加性高斯白噪声的去除具有很好的效果.     

一种基于连续小波阈值的图像去噪新算法

基于图像小波分解的特点和小波分解后高频小波系数的统计特性,构造了一种新阈值函数的去噪算法。对比传统的硬阈值、软阈值去噪算法,介绍了新阈值函数的原理,推导了算法公式。该阈值函数连续、可导。实验结果表明,利用新阈值函数进行图像去噪,能够有效地抑制图像噪声及马赛克效应。     

基于小波和灰度形态学的红外图像增强方法

针对红外图像对比度差、信噪比低的特点,提出了一种基于小波变换和灰度形态学的红外图像对比度增强的算法,对红外图像进行小波分解后,利用灰度形态学对低频系数进行对比度增强,同时计算局部阈值,并利用确定的阈值对小波系数进行去噪处理,最后重构得到去噪后的增强图像。实验结果表明,本文算法有效的提高了目标的对比度,同时突出了目标的细节信息,算法在性能优于传统的中值滤波与直方图均衡法相结合、维纳滤波与灰度变换法相结合的对比度增强算法。     

基于K-SVD算法改进BayesShrink小波阈值去噪

提出了一种基于BayesShrink小波阈值去噪算法和稀疏字典学习算法(K-SVD)相结合的图像去噪算法.针对现有的小波去噪算法只处理了细节子带系数,而没有处理近似子带的系数最终导致去噪效果带有局限性的问题,在实际应用中,噪声不仅改变了细节子带系数同时还改变了近似子带的系数,提出了使用K-SVD算法处理图像小波变换近似子带系数以改进现有小波阈值图像去噪算法的效果的缺陷,仿真实验结果表明:改进后的算法能够有效的去除图像的高斯噪声,提高图像的峰值信噪比,明显的改善图像的视觉效果.     

一种改进的自适应图像去噪算法实现

数字图像在形成、传输和处理过程中,往往不可避免的存在噪声污染。因此去噪是数字图像处理的重点也是难点,需要提出一种更加行之有效的去噪算法。针对于传统软硬阈值的缺陷,本文提出一种将改进的的小波阈值去噪法与自适应中值滤波相结合的新的去噪方法。小波阈值去噪即确定一个合适的阈值,对分解的小波系数进行阈值化处理,滤除噪声的小波系数,而保留信号的小波系数。该算法相对于传统软硬阈值的峰值信噪比(PSNR)的提高百分比分别达到了16.32%和8.95%,去噪效果非常理想。该方法较之以往的去噪方法,峰值信噪比有了明显的提高,同时能够有效保留边缘及细节特征。     

基于小波分解的计算机图像去噪算法

计算机图像在形成过程中较易受到外界因素的干扰而形成噪声,对图像质量噪声较大的影响,小波分解可对图像信号在频域中进行细致的划分,选择合适的阈值可实现图像去噪的目的。文中分别对图像质量,小波分解、Mallat算法和小波阈值去噪进行阐述,并利用Matlab仿真软件对应用小波分解的图像信号进行去噪。仿真结果表明,该方法具有较好的图像去噪效果。     

基于小波收缩的改进阈值脑电信号去噪方法研究

脑电（EEG）信号是脑神经细胞的电生理活动在大脑皮层的反应,但采集到的脑电信号一般都含有大量噪声信号。为了有效去除噪声信号并保留有用信息,在经过研究分析后提出一种基于小波收缩的改进阈值去除脑电信号噪声的方法,改进的阈值可以随着分解层数的变化而变化,在实际中可灵活应用。首先利用小波变换对脑电信号进行分解,得到多层的高频系数和低频系数;然后根据分解层次的不同,对小波系数进行自适应的阈值处理;将缩放后的小波系数重构,得到去噪声后的脑电信号。以信噪比（SNR）、均方根误差（RMSE）作为去噪效果的定量指标,通过实验对比了改进阈值法和软硬阈值法以及自适应阈值法,实验结果表明基于小波收缩改进的阈值法去噪效果优于其他三种阈值法。     

二维小波收缩与各向异性扩散等价性框架及在图像去噪中的应用

图像去噪是图像处理中的一种重要技术。小波收缩根据噪声的小波系数幅值较小的特征通过收缩达到去噪目的。各向异性扩散在尽可能保持图像特征的同时,根据梯度方向及幅值去噪。该文首先证明二维小波收缩与各向异性扩散的等价性框架,对等价性给予验证,进而根据等价性提出综合利用两种方法优势的各向异性小波收缩去噪算法。对比实验结果表明,此算法综合利用了小波收缩与各向异性扩散的优势,去噪效果更加理想。     

二维小波收缩与各向异性扩散等价性框架及在图像去噪中的应用

图像去噪是图像处理中的一种重要技术。小波收缩根据噪声的小波系数幅值较小的特征通过收缩达到去噪目的。各向异性扩散在尽可能保持图像特征的同时,根据梯度方向及幅值去噪。该文首先证明二维小波收缩与各向异性扩散的等价性框架,对等价性给予验证,进而根据等价性提出综合利用两种方法优势的各向异性小波收缩去噪算法。对比实验结果表明,此算法综合利用了小波收缩与各向异性扩散的优势,去噪效果更加理想。     

阈值法在毫米波目标辐射信号去噪中的应用研究

小波域阈值法去噪以其效果好,易编程实现而广泛应用到图像及信号的去噪中。该文在分析了毫米波目标辐射信号的小波系数特征后,提出使用非负小波系数代替信号的小波系数。对于确定的阈值,推导了重构信号均方差最小时,非负小波系数的去噪方法,实验表明该文算法具有较好的去噪效果。     

Despeckling of medical ultrasound images using Daubechies complex wavelet transform

The paper presents a novel despeckling method, based on Daubechies complex wavelet transform, for medical ultrasound images. Daubechies complex wavelet transform is used due to its approximate shift invariance property and extra information in imaginary plane of complex wavelet domain when compared to real wavelet domain. A wavelet shrinkage factor has been derived to estimate the noise-free wavelet coefficients. The proposed method firstly detects strong edges using imaginary component of complex scaling coefficients and then applies shrinkage on magnitude of complex wavelet coefficients in the wavelet domain at non-edge points. The proposed shrinkage depends on the statistical parameters of complex wavelet coefficients of noisy image which makes it adaptive in nature. Effectiveness of the proposed method is compared on the basis of signal to mean square error (SMSE) and signal to noise ratio (SNR). The experimental results demonstrate that the proposed method outperforms other conventional despeckling methods as well as wavelet based log transformed and non-log transformed methods on test images. Application of the proposed method on real diagnostic ultrasound images has shown a clear improvement over other methods.     

基于尺度连贯性边缘检测的小波收缩图像去噪

为有效地去除图像噪声而不使图像边缘模糊,文章提出了一种保留边缘信息的小波图像去噪新方法.此方法基于二进小波变换的多分辨率分解,小波系数的分布被模型化为高斯分布,得到每一尺度的收缩因子,连续尺度上的收缩凼子被结合,一致性检测被用于进一步检测边缘.将检测到的边缘点与非边缘点对应的小波系数,分别用不同的方法进行处理,采用不同的收缩因子进行收缩.仿真实验表明,与其它几种传统去噪方法相比,本算法具有更好的重建视觉效果,峰值信噪比也比其它方法有了较大幅度的提高.     

基于贝叶斯估计的小波阈值图像降噪方法

提出一种新的基于贝叶斯估计的小波收缩阈值的图像降噪方法，该方法是通过最小Bayes风险的方法对图像小波变换后的小波系数进行估计，这种对小波系数的估计不仅与子带的方向和层次有关，而且与小波系数的大小有关。试验结果该方法比一般小波收缩阈值方法的降噪效果要好；还表明在峰值信噪比较低时该方法的降噪效果比Wiener滤波差，当峰值信噪比较高时该方法的降噪效果比Wiener滤波好。     

基于贝叶斯估计的小波阈值图像降噪方法

提出一种新的基于贝叶斯估计的小波收缩阈值的图像降噪方法,该方法是通过最小Bayes风险的方法对图像小波变换后的小波系数进行估计,这种对小波系数的估计不仅与子带的方向和层次有关,而且与小波系数的大小有关.试验结果表明该方法比一般小波收缩阈值方法的降噪效果要好;还表明在峰值信噪比较低时该方法的降噪效果比Wiener滤波差,当峰值信噪比较高时该方法的降噪效果比Wiener滤波好.     

Image reconstruction using the wavelet transform for positronemission tomography

We conducted positron emission tomography (PET) image reconstruction experiments using the wavelet transform. The Wavelet-Vaguelette decomposition was used as a framework from which expressions for the necessary wavelet coefficients might be derived, and then the wavelet shrinkage was applied to the wavelet coefficients for the reconstruction (WVS). The performances of WVS were evaluated and compared with those of the filtered back-projection (FBP) using software phantoms, physical phantoms, and human PET studies. The results demonstrated that WVS gave stable reconstruction over the range of shrinkage parameters and provided better noise and spatial resolution characteristics than FBP.     

Feature-based wavelet shrinkage algorithm for image denoising.

A selective wavelet shrinkage algorithm for digital image denoising is presented. The performance of this method is an improvement upon other methods proposed in the literature and is algorithmically simple for large computational savings. The improved performance and computational speed of the proposed wavelet shrinkage algorithm is presented and experimentally compared with established methods. The denoising method incorporated in the proposed algorithm involves a two-threshold validation process for real-time selection of wavelet coefficients. The two-threshold criteria selects wavelet coefficients based on their absolute value, spatial regularity, and regularity across multiresolution scales. The proposed algorithm takes image features into consideration in the selection process. Statistically, most images have regular features resulting in connected subband coefficients. Therefore, the resulting subbands of wavelet transformed images in large part do not contain isolated coefficients. In the proposed algorithm, coefficients are selected due to their magnitude, and only a subset of those selected coefficients which exhibit a spatially regular behavior remain for image reconstruction. Therefore, two thresholds are used in the coefficient selection process. The first threshold is used to distinguish coefficients of large magnitude and the second is used to distinguish coefficients of spatial regularity. The performance of the proposed wavelet denoising technique is an improvement upon several other established wavelet denoising techniques, as well as being computationally efficient to facilitate real-time image-processing applications.     

Optimizing the multiwavelet shrinkage denoising

Denoising methods based on wavelet domain thresholding or shrinkage have been found to be effective. Recent studies reveal that multivariate shrinkage on multiwavelet transform coefficients further improves the traditional wavelet methods. It is because multiwavelet transform, with appropriate initialization, provides better representation of signals so that their difference from noise can be clearly identified. We consider the multiwavelet denoising by using multivariate shrinkage function. We first suggest a simple second-order orthogonal prefilter design method for applying multiwavelet of higher multiplicities. We then study the corresponding thresholds selection using Stein's unbiased risk estimator (SURE) for each resolution level provided that we know the noise structure. Simulation results show that higher multiplicity wavelets usually give better denoising results and the proposed threshold estimator suggests good indication for optimal thresholds.     

Wavelet methods for inverting the Radon transform with noisy data

Because the Radon transform is a smoothing transform, any noise in the Radon data becomes magnified when the inverse Radon transform is applied. Among the methods used to deal with this problem is the wavelet-vaguelette decomposition (WVD) coupled with wavelet shrinkage, as introduced by Donoho (1995). We extend several results of Donoho and others here. First, we introduce a new sufficient condition on wavelets to generate a WVD. For a general homogeneous operator, whose class includes the Radon transform, we show that a variant of Donoho's method for solving inverse problems can be derived as the exact minimizer of a variational problem that uses a Besov norm as the smoothing functional. We give a new proof of the rate of convergence of wavelet shrinkage that allows us to estimate rather sharply the best shrinkage parameter needed to recover an image from noise-corrupted data. We conduct tomographic reconstruction computations that support the hypothesis that near-optimal shrinkage parameters can be derived if one can estimate only two Besov-space parameters about an image f. Both theoretical and experimental results indicate that our choice of shrinkage parameters yields uniformly better results than Kolaczyk's (1996) variant of Donoho's method and the classical filtered backprojection method.     

A NEW APPROACH FOR UNSUPERVISED RESTORING IMAGES BASED ON WAVELET-DOMAIN PROJECTION PURSUIT LEARNING NETWORK

The Wavelet-Domain Projection Pursuit Learning Network (WDPPLN) is proposed for restoring degraded image. The new network combines the advantages of both projection pursuit and wavelet shrinkage. Restoring image is very difficult when little is known about a priori knowledge for multisource degraded factors. WDPPLN successfully resolves this problem by separately processing wavelet coefficients and scale coefficients. Parameters in WDPPLN,which are used to simulate degraded factors, are estimated via WDPPLN training, using scale coefficients. Also, WDPPLN uses soft-threshold of wavelet shrinkage technique to suppress noise in three high frequency subbands. The new method is compared with the traditional methods and the Projection Pursuit Learning Network (PPLN) method. Experimental results demonstrate that it is an effective method for unsupervised restoring degraded image.     

Enhancement of spectral analysis of myoelectric signals duringstatic contractions using wavelet methods

In this paper, we introduce wavelet packets as an alternative method for spectral analysis of surface myoelectric (ME) signals. Both computer synthesized and real ME signals are used to investigate the performance. Our simulation results show that wavelet packet estimate has slightly less mean square error (MSE) than Fourier method, and both methods perform similarly on the real data. Moreover, wavelet packets give us some advantages over the traditional methods such as multiresolution of frequency, as well as its potential use for effecting time-frequency decomposition of the nonstationary signals such as the ME signals during dynamic contractions. We also introduce wavelet shrinkage method for improving spectral estimates by significantly reducing the MSE's for both Fourier and wavelet packet methods.