基于NSCT域各向异性双变量萎缩图像去噪

提出了一种用各向异性双变量拉普拉斯函数模型去模拟NSCT域的系数的图像去噪算法,这种各向异性双边拉普拉斯模型不仅考虑了NSCT系数相邻尺度间的父子关系,同时满足自然图像不同尺度间NSCT系数方差具有各向异性的特征,基于这种统计模型,文中先推导出了一种各向异性双变量收缩函数的近似形式,然后基于贝叶斯去噪法和局部方差估计将这种新的阈值收缩函数应用于NSCT域,实验结果表明文中提出的方法同小波域BiShrink算法、小波域ProbShrink算法、小波域NeighShrink算法相比,能够有效地去除图像的高斯噪声,提高了图像的峰值信噪比;并较完整地保持了图像的纹理和边缘等细节信息,从而明显改善了图像的视觉效果。     

基于双变量收缩函数的对偶树复小波图像去噪

常用离散小波变换缺乏平移不变性和良好的方向选择性,并且在图像去噪中使用的模型没有充分考虑系数间的相关性,导致去噪效果不理想.为了克服上述离散小波变换图像去噪的不足,提出了利用对偶树复小波变换与双变量收缩函数相结合的图像去噪算法.实验结果表明,该算法比传统算法有更好的去噪效果.     

非高斯双变量模型contourlet图像去噪

Contourlet变换是继小波变换之后的又一新变换.由于contourlet变换的多尺度和多方向特性,能有效地捕获到自然图像中的轮廓,并对其进行稀疏表示.详细分析了图像contourlet系数的统计特性,并利用非高斯双变量分布对系数层间相关性进行建模.最后,将此分布应用于图像去噪,就PSNR、NMSE和视觉质量这三方面的评价指标与contourlet HMT和小波阈值法进行了比较.实验结果表明：算法能获得较好的结果,尤其是对于含有丰富纹理的图像.     

基于一种新的指数收缩函数的小波去噪方法

首先介绍一些基于小波去噪的经典方法,主要集中在小波收缩函数上,然后提出了一种新的柔性收缩函数模型,相比以前的收缩函数,这种函数具有较好的柔性结构,能够较好地提高去噪能力。新的收缩函数避免了硬收缩函数所带来的不连续性和软收缩模型带来的偏差估计。利用Matlab进行了仿真实验,用仿真实例说明了这种指数收缩函数相比以前的函数能够提供更高的SNR增益和更小的MSE性能。     

An edge fusion scheme for image denoising based on anisotropic diffusion models

In this paper, we propose an enhanced anisotropic diffusion model. The improved model can classify finely image information as smooth regions, edges, corners and isolated noises by characteristic parameters and gradient variance parameter. And for different image information the eigenvalues of diffusion tensor are designed to conduct adaptive diffusion. Moreover, an edge fusion scheme is posed to preserve edges after denoising by combing different denoising and edge detection methods. Firstly, different denoising methods are applied for noisy image to obtain denoised images, and the best method among them is selected as main method. Then edge images of denoised images are obtained by edge detection methods. Finally, by fusing edge images together more integrated edges can be achieved to replace edges of denoised image obtained by main method. The experimental results show the proposed model can denoise meanwhile preserve edges and corners, and the edge fusion scheme is accurate and effective.     

基于对偶树复数小波变换的邻域自适应的图像降噪

该文提出一种新的基于对偶树复数小波变换的邻域自适应的图像降噪方法,它是现存的NeighShrink降噪方法的改进。该文运用Stein的无偏风险估计,在小波域每一个子带为NeighShrink方法确定一个最优的阈值和邻域窗口,并将NeighShrink方法从正交的小波变换推广到对偶树复数小波变换。实验结果证实,该文方法比当前基于小波的最具竞争力的图像降噪方法取得了更好的降噪效果。     

Image denoising based on iterative generalized cross-validation and fast translation invariant

Wavelet shrinkage is a promising method in image denoising, the key factor of which lies in the threshold selection. A fast and effective wavelet denoising method, called Iterative Generalized Cross-Validation and Fast Translation Invariant (IGCV–FTI) is proposed, which reduces the computation cost of the standard Generalized Cross-Validation (GCV) method and efficiently suppresses the Pseudo-Gibbs phenomena with an extra gain of 1–1.87 dB in PSNR compared with GCV. In the proposed approach, we establish a novel functional relation between the GCV results of two neighboring thresholds based on integer wavelet transform, and combine it with threshold-search interval optimization. As a result, the proposed IGCV reduces the time complexity of original GCV algorithm by two orders of magnitude. In addition, a recursion strategy is applied to expedite the translation invariant. The high efficiency and proficient capacity to remove noise make IGCV–FTI a good choice for image denoising.     

基于Contourlet变换的图像去噪方法

图像去噪是数字图像处理领域的一项重要技术.传统的基于小波变换的去噪方法,去噪效果不是很理想.为了解决这一问题,提出了一种基于Contourlet变换的图像去噪方法.实验结果表明,与传统小波去噪方法相比,该方法不但可以保留图像的边缘信息,而且能提高去噪后图像的信噪比.     

结合Contourlet变换的各向异性扩散图像去噪

提出了一种结合Contourlet变换的各向异性扩散图像去噪算法.结合Contourlet变换和各向异性扩散的优点,通过Contourlet变换得到图像不同尺度的Contourlet系数矩阵,实现了建立在对图像多尺度分析基础上新的各向异性扩散算法.实验表明,新算法能够获得良好的视觉效果并且有效地提高了去噪图像的PSNR值,同时避免了传统的各向异性扩散出现的阶梯效应,更好地保留了图像的纹理和细节.     

一种球坐标系下小波收缩去噪新算法

基于Besov空间范数理论提出一个新的球坐标下的自适应收缩阈值,并将小波域上的多尺度积推广到球坐标下,充分利用尺度间小波系数的相关性。最后,提出了一种新的自适应曲线收缩函数,此函数有一定的边缘增强效果。根据球坐标下图像的统计特性,用新的收缩阈值和新的收缩函数进行去噪处理。仿真实验分别从峰值信噪比(PSNR)、均方误差(MSE)和运行时间上进行评估,确立了最佳分解尺度,并且与其它算法相比,提高了PSNR,而且具有运算简单、运算量小的优点。     

Spectral-spatial adaptive and well-balanced flow-based anisotropic diffusion for multispectral image denoising

Anisotropic diffusion can provide better compromise between noise reduction and edge preservation. In multispectral images, there exist different spatial local structures in the same band. Therefore, the levels of smoothing of anisotropic diffusion process should conform to both of image spectral and spatial features. In this paper, we present an effective denoising algorithm by integrating the spectral-spatial adaptive mechanism into a well-balanced flow (WBF) based anisotropic diffusion model, in which an adjustable weighted function is introduced to perform the appropriate levels of smoothing and enhancing according to different feature scales. Moreover, we make the fidelity term in the model to be adaptive by replacing the original noisy signal with the last evolution of the smoothed image. Consequently, the proposed algorithm can better control the diffusion behavior than traditional multispectral diffusion-based algorithms. The experimental results verify that our algorithm can improve visual quality of the image and obtain better quality indices.     

Low light image enhancement with dual-tree complex wavelet transform

In low light condition, low dynamic range of the captured image distorts the contrast and results in high noise levels. In this paper, we propose an effective contrast enhancement method based on dual-tree complex wavelet transform (DT-CWT) which operates on a wide range of imagery without noise amplification. In terms of enhancement, we employ a logarithmic function for global brightness enhancement based on the nonlinear response of human vision to luminance. Moreover, we enhance the local contrast by contrast limited adaptive histogram equalization (CLAHE) in low-pass subbands to make image structure clearer. In terms of noise reduction, based on the direction selective property of DT-CWT, we perform content-based total variation (TV) diffusion which controls the smoothing degree according to noise and edges in high-pass subbands. Experimental results demonstrate that the proposed method achieves a good performance in low light image enhancment and outperforms state-of-the-art ones in terms of contrast enhancement and noise reduction.     

基于局部方向能量的鲁棒图像融合算法

针对现有小波类图像融合算法在特征表达上的不足,将对偶树复数小波变换引入图像融合中。Robins等的研究表明,局部能量对各类图像特征的表达和定位具有稳健性。基于对偶树复数小波变换,定义了局部方向能量和局部能量,结合人类视觉系统对图像特征的响应特性,定义了局部带限对比度,表达特征的显著性。实时图像融合系统中,输入可能被随机噪声污染。根据图像特征和噪声局部方向能量分布不同的特点,定义了局部方向能量熵,用以自适应改善带限对比度,提高融合过程对噪声的鲁棒性。对融合算法仿真结果的主客观性能分析,充分验证了本文提出的鲁棒的图像融合算法的卓越性能。     

基于中值滤波和小波变换的图像去噪

针对混合噪声的特点,提出一种中值滤波和小波变换相结合的去噪方法。首先对噪声图像进行中值滤波,然后再通过小波阈值法对噪声进行去除,达到去噪目的。最后进行了Matlab仿真实验以及客观标准评价,结果表明:这种方法改善了图像质量,去噪效果优于传统的软、硬阈值方法以及单纯的中值滤波方法,可以有效的去除混合噪声。     

改进的BiShrink与DTCWT相结合的遥感图像去噪

基于双树复数小波变换(DTCWT)良好的平移不变性和多方向选择性,以及尺度内DTC-WT系数的领域相关性,提出了一种bivariate shrinkage(BiShrink)的改进算法,对遥感图像进行去噪处理。实验结果表明,经本文算法降噪后,图像的峰值信噪比(PSNR)得到显著提高,较好地保持图像的边缘和细节信息,并抑制混淆现象。     

一种有效的双树复小波-Wiener滤波去噪算法

为了有效恢复被高斯白噪声污染的图像,将双树复小波变换和自适应Wiener滤波结合起来,提出了一种双树复小波-Wiener滤波去噪算法.仿真结果表明,利用该算法去噪后恢复的图像主观质量和峰值信噪比比基于正交小波变换的门限法和Wiener滤波法都要好.     

Q-shift复小波的一种新型构造方法及其在图像去噪中的应用

为了提高复小波变换的效率,本文提出了一种设计Q-shift复小波滤波器的新方法。与目前采用多相位矩阵的晶格分解结构得到正交小波的方法不同的是,这里从更为一般的完全重构滤波器组出发寻求满足特定要求的正交小波。不但可以构造出系数更为简单、运算更加方便的小波,而且可以实现任意精度的复小波变换。该方法的可拓展性好,可以很方便的添加如高阶消失矩等限制并简化设计过程。以普遍采用的Q-shift10/10小波为例,利用本文构造的正交小波可将复小波变换中的乘法运算降低到原来的1/3,而加法基本相当,且小波的频率选择性质更好。将其用于图像去噪的实验表明,采用本文构造的小波可以显著提高处理速度并得到更高的峰值信噪比(PSNR)。     

一种基于小波变换的偏微分方程图像去噪方法

针对纹理图像在去除噪声时,纹理信息容易被磨光,尤其是纹理的线状结构很容易被破坏的问题,提出在小波域改进耦合P-M扩散与相干增强扩散的方法,并用改进的方法对不同的小波子带进行扩散,然后重构,得到去噪图像.数值实验结果表明,本文方法在达到一定降噪效果,保持区域内部较好光滑性的同时,对保持纹理信息、纹理的线状结构及纹理的光滑有很好的效果,说明该方法对纹理图像去噪有较好的效果.     

一种自适应小波域图像降噪方法

Donoho所提出的去噪算法由于没有考虑到图像的局部特征,而滤除了过多的小波系数,影响了图像的去噪效果。本文介绍了一种自适应阈值的小波系数收缩算法,该算法利用邻域小波系数与噪声方差关系,同时根据小波分解级数的不同而动态地改变小波系数收缩的幅度。由于阈值的自适应性。从而可以利用更多小波分解级数而不会滤除过多的小波系数,因此在去噪方面达到了更好的效果。本文还讨论了如何选取合适的小波分解级数、窗口大小、以及算法的复杂性。通过大量的实验结果可以看出,本算法在去噪的视觉效果和峰值信噪比(PSNR)指标上,优于其他去噪算法,同时,算法的执行和原理非常简单。     

Image denoising algorithm based on even step-length generalized cross validation model

Generalized cross validation (GCV) is a significant mean square error (MSE) estimator. It is widely used for image denoising because it can provide an optimal denoising threshold for these wavelet coefficients of noise image. However, the computational complexity of GCV is higher than that of the universal threshold denoising algorithm. In this study, an efficient and fast image denoising algorithm is proposed based on even step-length (ESL) GCV model. In ESL-GCV model, only the thresholds on even points are calculated from four to the maximum wavelet coefficient. In addition, the ESL-GCV model is optimized using the integer wavelet transform (IWT). These experimental results show that the IWT-based ESL-GCV model can provide lower computational complexity and the better peak signal-to-noise ratio (PSNR) than those of the traditional GCV. The proposed algorithm has important theoretical and practical value for image denoising in the future.