基于低秩矩阵恢复的SAR图像相干斑抑制方法

针对合成孔径雷达(SAR)图像相干斑噪声的特点,提出了一种基于低秩矩阵恢复的SAR图像相干斑抑制算法。该算法首先对SAR图像进行对数变换,将SAR图像相干斑乘性噪声转化为加性噪声;然后对变换后图像等步长遍历提取图像子参考块,利用局部块匹配技术寻找子参考块的相似块组建相似子集,合并数据集中所有相似子集,构建近似低秩的矩阵;再通过低秩矩阵恢复算法将矩阵分解为低秩矩阵部分和稀疏矩阵部分;最后将低秩矩阵部分逆变换回图像块,基于图像块灰度值对图像的每个像素进行加权重构,生成相干斑抑制后的SAR图像。实验表明,文中所提出的算法能够有效抑制SAR图像中的相干斑噪声,同时很好地保留了边缘细节特征。     

基于S1/2范数的非局部视频去噪

为了去除视频中的高斯噪声及脉冲噪声,提出了 一种基于S1/2矩阵范数的非局部视频去噪算法。 首先,在视频数据中利用非局部块匹配的钻石搜索算法搜寻与参考图像块最相似的图像块组 ;然后,将搜 寻到的相似图像块组列向量化后组合成的矩阵进行基于S1/2范数的低秩和稀疏分解,分解后 的低秩成分视 为原视频场景信息,稀疏成分视为视频中存在的随机值脉冲噪声及异常值数据;最后,由低 秩矩阵恢复的 各图像块数据经过加权平均后作为参考图像块的去噪估计值,进而求得视频各帧图像的去噪 估计值。实 验结果表明,本文方法能够有效去除视频中的高斯噪声和脉冲噪声,相比同类 算法,去噪后的视频无论 在视觉质量上还是客观评价指标上都有明显的优势。     

基于秩极小化的压缩感知图像恢复算法

本文将压缩感知图像恢复问题作为低秩矩阵恢复问题来进行研究.为了构建这样的低秩矩阵,我们采样非局部相似度模型,将相似图像块作为列向量构建一个二维相似块矩阵.由于列向量间的强相关性,因此该矩阵具有低秩属性.然后以压缩感知测量作为约束条件对这样的二维相似块矩阵进行低秩矩阵恢复求解.在算法求解的过程中,使用增广拉格朗日方法将受限优化问题转换为非受限优化问题,同时为了减少计算复杂度,使用基于泰勒展开的线性化技术来加速算法求解.实验表明该算法的收敛率、图像恢复性能均优于目前主流压缩感知图像恢复算法.     

应用残差总变分和低秩表示的视频去噪算法

为了有效地去除视频当中的高斯噪声和脉冲噪声,提出了一种新的视频去噪算法。该算法通过相似图像块组内的残差值总变分及低秩表示来同时探索图像块内的局部相似性以及图像块之间的相似性。首先,采用块匹配的方式在含噪视频中寻找最相似图像块并组合成图像块组;其次将每个相似图像组表达为一个低秩矩阵及一个稀疏矩阵之和,并同时强调低秩矩阵内的残差总变分范数最小化;最后,通过求解最优化问题获得最终的低秩矩阵,即恢复出的图像块组数据。实验结果表明,本文的算法能够有效去除视频当中含有的高斯噪声和脉冲噪声。与同类算法相比,能够获得显著的峰值信噪比提升。      

多通道MCP范数最小化的彩色图像去噪方法

低秩去噪方法利用核范数作为秩函数的凸近似,取得了很好的去噪效果。然而,非凸函数更加近似秩函数。针对彩色图像去噪问题,文章提出一种基于多通道MCP范数最小化的图像去噪方法。首先构建MCP(Minimax Concave Penalty)范数最小化的低秩去噪模型,对噪声图像的相似块矩阵施加MCP正则化约束。对于多通道且噪声强度不同的彩色图像,引入权重矩阵以平衡每个通道对恢复图像的估计。最后利用交替乘子方向法迭代求解模型,重建获得干净的图像。经实验验证,所提算法在性能指标和视觉效果方面都有较好的提升。     

外部非局部自相似先验的图像去噪

针对在噪声水平比较高的情况下难以从噪声图像本身提取准确先验信息的问题,提出一种从外部干净图像数据集学习非局部自相似先验信息的图像去噪方法。首先用高斯混合模型学习外部干净图像的非局部自相似先验信息,其次利用最大后验概率估计的方法找到与噪声图像块最匹配的外部先验信息,最后利用外部先验对噪声图像块进行稀疏表示。实验对比表明,所提算法在去除噪声的同时可以较好地保留图像的细节信息,使图像数据集的平均峰值信噪比提高0.18 dB以上。     

基于非局部稀疏编码的超分辨率图像复原

基于压缩感知的超分辨率图像复原方法通常采用局部稀疏编码策略,对每一图像块独立编码,易产生人工的分块效应。针对上述问题,该文提出一种基于非局部稀疏编码的超分辨率图像复原方法。该算法在字典训练和图像编码过程中分别运用图像的非局部自相似先验知识,即利用低分辨率图像的插值图像训练字典,并通过计算相似块局部编码的加权平均,得到每一图像块的非局部稀疏编码。仿真实验表明,所提算法能够获得更优的复原效果,并且对于含噪图像具有较强的鲁棒性。     

低剂量CT重建中的双边滤波权值优化新方法

为了提升低剂量CT重建图像质量,本文提出了一种基于投影数据恢复导引的双边滤波权值优化方法.新方法有效地将CT投影数据恢复和图像数据恢复的两种低剂量成像策略进行结合,实现优质的低剂量CT重建.具体而言,本文中投影数据恢复采用三维块匹配滤波进行,图像数据恢复采用双边滤波进行,其中双边滤波权值进行优化设计.在双边滤波权值设计...     

基于跨尺度低秩约束的单幅图像盲超分辨率算法

单幅图像盲超分辨率方法是在模糊核未知的情况下仅利用单幅低分辨率图像重建高分辨率图像,这是一个严重的欠定逆问题.超分辨率正则化方法通过正则化约束项引入附加信息,为低分辨率图像恢复或重建合理的高频成分.本文将跨尺度自相似性与低秩先验相结合,提出了一种基于跨尺度低秩约束的单幅图像盲超分辨率方法,采用联合建模的方法同时估计模糊核与高分辨率图像.利用高分辨率图像、低分辨率图像及其降采样图像之间的跨尺度自相似性,对于低分辨率图像中的图像块在降采样图像中搜索相似块,将该图像块在高分辨率重建图像中对应的父块与其相似块在低分辨率图像中对应的父块合并,构造跨尺度相似图像块组矩阵.由于低分辨率图像中的跨尺度相似图像块能够为重建图像块提供潜在的细节信息,因此对相似图像块组矩阵进行低秩约束,在迭代求解过程中迫使重建图像恢复高频成分,进而促使模糊核的估计更加准确.此外,低秩约束能够表示数据的全局结构,对噪声具有鲁棒性.在真实和模拟图像上的实验表明,本文的算法能够准确地估计模糊核,重建高分辨率图像的边缘和细节,优于现有的自监督盲超分辨率算法.     

基于非局部相似块低秩的压缩感知图像重建算法

传统的压缩感知重建算法利用信号在某个特征空间下的稀疏性构建目标优化函数,但没有充分考虑信号的局部特性和结构化属性,影响了算法的重建性能和算法的适应性.本文考虑图像的非局部自相似性(NonlocalSelf-Similarity,NLSS),提出一种基于图像相似块低秩的压缩感知图像重建算法,将图像恢复问题转化为聚合的相似块矩阵秩最小问题.算法以最小压缩感知重建误差为约束构建优化模型,并采用加权核范数最小化算法(Weighed Nuclear Norm Minimization,WNNM)求解低秩优化问题,很好地挖掘了图像自身的信息和结构化稀疏特征,保护了图像的结构和纹理细节.多个测试图像、不同采样率下的实验证明了算法的有效性,特别是在低采率下对于纹理较为丰富的图像,提出的算法图像重建质量较明显的优于最新的同类算法.     

Gamma norm minimization based image denoising algorithm

Focusing on the issue of rather poor denoising performance of the traditional kernel norm minimization based method caused by the biased approximation of kernel norm to rank function,based on the low-rank theory,a gamma norm minimization based image denoising algorithm was developed.The noisy image was firstly divided into some overlapping patches via the proposed algorithm,and then several non-local image patches most similar to the current image patch were sought adaptively based on the structural similarity index to form the similar image patch matrix.Subsequently,the non-convex gamma norm could be exploited to obtain unbiased approximation of the matrix rank function such that the low-rank denoising model could be constructed.Finally,the obtained low-rank denoising optimization issue could be tackled on the basis of singular value decomposition,and therefore the denoised image patches could be re-constructed as a denoised image.Simulation results demonstrate that,compared to the existing state-of-the-art PID,NLM,BM3D,NNM,WNNM,DnCNN and FFDNet algorithms,the developed method can eliminate Gaussian noise more considerably and retrieve the original image details rather precisely.     

基于低秩分解和改进的非局部平均的SAR图像相干斑抑制

为抑制合成孔径雷达（SAR）图像成像过程中形成的相干斑噪声,提出了一种基于低秩分解和改进的非局部平均的SAR图像相干斑去噪方法。首先将SAR图像进行对数处理,将乘性噪声转换为加性噪声;然后利用低秩稀疏分解将对数图像分解成低秩图像部分和稀疏图像部分;接着对含噪严重的稀疏图像部分分析其结构张量,生成非局部平均滤波所需的衰减因子,进行改进的非局部平均滤波去噪;最后再做图像合成,经指数变换得到去噪后的SAR图像。实验结果表明,该方法经视觉评价、边缘保持指数（EPI）和等效视数（ENL）等方面评测,具有较好的抑制噪声和保持边缘及纹理细节的能力。      

Optimized Projection Matrix for Compressed Sensing

Sparse signals can be reconstructed from far fewer samples than those that were required by the Shannon sampling theorem, if compressed sensing (CS) is employed. Traditionally, a random Gaussian (rGauss) matrix is used as a projection matrix in CS. Alternatively, optimization of the projection matrix is considered in this paper to enhance the quality of the reconstruction in CS. Bringing the multiplication of the projection matrix and the sparsifying basis to be near an equiangular tight frame (ETF) is a good idea proposed by some previous works. Here, a low-rank Gram matrix model is introduced to realize this idea. Also, an algorithm is presented via a computational method of the low-rank matrix nearness problem. Simulations show that the proposed method is better than some other methods in optimizing the projection matrix in terms of image denoising via sparse representation.     

结合字典稀疏表示和非局部相似性的自适应压缩成像算法

如何以较少的观测值重构出高质量的图像是压缩成像系统的一个关键问题.本文根据图像块随机投影能量大小分布特点,提出了一种新的自适应采样方式以及针对自适应采样的有效重构算法.重构时利用了图像在字典下的稀疏表示原理和图像的非局部相似性先验知识.为实现图像的稀疏表示,文中构造了由多个方向字典和一个正交DCT字典组成的冗余字典,并用l1范数作为约束条件求解稀疏优化问题.由于充分利用了图像块的局部特性和图像的非局部特性,本文的压缩成像算法在低采样率下能重构出较高质量的图像.     

基于图上随机游走过程的SAR图像图谱分割方法

基于图上的随机游走过程,提出了一种新的合成孔径雷达(SAR)图像图谱分割方法。首先根据SAR图像的统计性质,构造了适合于SAR图像的相似度度量函数;然后在正交谱分解和矩阵逼近理论的基础上,建立了SAR图像图谱分割方法中分类数目的确定准则。最后实现了基于谱聚类的SAR图像分割,并通过实验证明了所提方法的有效性和应用潜力。     

基于非局部图像去噪的方法研究

提出了一种利用非局部相似的图像去噪方法,通过非凸函数阈值得到噪声图像的多个初步去噪图像,其参数的选择较接近,并将这些初步去噪的图像选取相似块,利用非局部平均的方法,对图像进行去噪恢复。通过实验可知,文中提出的方法对于噪声图像去噪具有较好的效果,与典型的非局部平均方法相比,该方法能得到更好的峰值信噪比。     

Image denoising based on non-local means filter and its method noise thresholding

Non-local means filter uses all the possible self-predictions and self-similarities the image can provide to determine the pixel weights for filtering the noisy image, with the assumption that the image contains an extensive amount of self-similarity. As the pixels are highly correlated and the noise is typically independently and identically distributed, averaging of these pixels results in noise suppression thereby yielding a pixel that is similar to its original value. The non-local means filter removes the noise and cleans the edges without losing too many fine structure and details. But as the noise increases, the performance of non-local means filter deteriorates and the denoised image suffers from blurring and loss of image details. This is because the similar local patches used to find the pixel weights contains noisy pixels. In this paper, the blend of non-local means filter and its method noise thresholding using wavelets is proposed for better image denoising. The performance of the proposed method is compared with wavelet thresholding, bilateral filter, non-local means filter and multi-resolution bilateral filter. It is found that performance of proposed method is superior to wavelet thresholding, bilateral filter and non-local means filter and superior/akin to multi-resolution bilateral filter in terms of method noise, visual quality, PSNR and Image Quality Index.     

A stochastic image denoising method based on adaptive patch-size

A new stochastic nonlocal denoising method based on adaptive patch-size is presented. The quality of restored image is improved by choosing the optimal nonlocal similar patch-size for each site of image individually. The method contains two phase. The first phase is to search the similar patches base on adaptive patch-size. The second phase is to design the denoising algorithm by making use of similar image patches obtained in the first step. The multiple clusters of similar patches for each pixel point are searched by using Markov-chain Monte Carlo sampling many times. Following, we adjust the patch-size according to the consistency of multiple clusters. This processing is repeated until we obtain the optimal patch-size and corresponding optimal patch cluster. We get the estimation of noise-free patch cluster by employing modified two-directional non-local method. Furthermore, the denoised image is obtained by using the method of superposition approach. The theoretical analysis and simulation results show that the method is feasible and effective.