Image denoising via sparse coding using eigenvectors of graph Laplacian

Image denoising plays an important role in image processing, which aims to separate clean images from the noisy images. A number of methods have been presented to deal with this practical problem in the past decades. In this paper, a sparse coding algorithm using eigenvectors of the graph Laplacian (EGL-SC) is proposed for image denoising by considering the global structures of images. To exploit the geometry attributes of images, the eigenvectors of the graph Laplacian, which are derived from the graph of noised patches, are incorporated in the sparse model as a set of basis functions. Sequently, the corresponding sparse coding problem is presented and efficiently solved with a relaxed iterative method in the framework of the double sparsity model. Meanwhile, as the denoising performance of the EGL-SC significantly depends on the number of the used eigenvectors, an optimal strategy for the number selection is employed. A parameter called as out-of-control rate is set to record the percentage of the denoised patches that suffer from serious residual errors in the sparse coding procedure. Thus, with the eigenvector number increasing, the appropriate number can be heuristically selected when the out-of-control rate falls below an empirical threshold. Experiments illustrate that the EGL-SC can achieve a better performance than some other well-developed denoising methods, especially in the structural similarity index for the noise of large deviations.     

Application of soft-thresholding on the decomposed Lamb wave signals for damage detection of plate-like structures

Effective application of the Lamb waves for structural health monitoring and damage identification intensively relies on the accurate damage-related feature extraction in the received signals. Most of existing signal processing methods extract the damage-related features from the time–frequency joint spectrum which requires a quite amount of effort. In this paper, the soft-thresholding process, based on different signal decomposition methods, is introduced to damage identification so that the damage-related signal features can be manifested more distinctively. By applying two popular signal decomposition methods (i.e., the discrete wavelet transform (DWT) and the empirical mode decomposition (EMD)), the signal of interest can be represented by a series of components with different frequencies. Since most noises exist in the high frequency range, it is feasible to alleviate noise by restricting the energy of high-frequency components. Finally, a denoised signal is synthesized using the corresponding reconstruction method. As an application, the soft-thresholding process is performed to detect a small crack on an isotropic aluminum plate under the white Gaussian noise contamination. The results, from both the numerical finite element simulation and experimental test, indicate that the soft-thresholding process is capable of effectively reducing the effect of noise, convincingly improving the sensitivity of damage identification, and discriminating relatively small damage.     

EEMD在爆破振动信号去噪中的应用

针对小波类去噪方法存在基函数的选择,同时未摆脱Fourier变换为基础带来的缺陷、EMD去噪存在模式混叠的问题,将EEMD去噪引入到爆破振动信号处理领域.首先利用仿真试验验证了EEMD克服了EMD的固有缺陷,然后分别利用小波、EMD、EEMD对数值微分所获取的加速度时程曲线进行低通去噪处理,对比结果表明:EEMD不仅具...     

瞬态诱发耳声发射信号的小波去噪方法

在真实的瞬态诱发耳声发射信号中,加上合理的噪声信号,模拟采集的瞬态诱发耳声发射信号。用传统的和小波变换去噪方法对模拟信号进行去噪处理,分析去噪效果。找到了合适的小波参量,使去噪后的相关率和信噪比指标提高,减少了检测时间。     

GAUSSIAN PRINCIPLE COMPONENTS FOR NONLOCAL MEANS IMAGE DENOISING

NonLocal Means (NLM),taking fully advantage of image redundancy,has been proved to be very effective in noise removal.However,high computational load limits its wide application.Based on Principle Comp...     

稀疏性正则化的图像泊松去噪算法

去除医学、天文图像中的泊松噪声是一个重要问题,基于图像在过完备字典下的稀疏表示,在BayesianMAP框架下建立了稀疏性正则化的图像泊松去噪凸变分模型,采用负log的泊松似然函数作为模型的数据保真项,模型中非光滑的正则项约束图像表示系数的稀疏性,并附加非负件约束,保证去噪图像的非负性.基于分裂Bregman方法,提出...     

基于统计小波模型的信号去噪研究

针对水声目标信号检测与识别中,海洋环境噪声的存在所造成的检测性能下降问题,提出一种基于统计小波模型的信号去噪及原信号波形估计方法.通过对舰船声信号以及海洋环境噪声信号特性的分析,根据信号的概率密度函数,推导出信号小波系数的相邻尺度间关系,从而建立信号的去噪模型,对仿真和实测数据的分析都验证了方法的有效性.     

雷达目标一维高分辨距离像的特性分析及预处理方法研究

目标高分辨距离像已经广泛应用于雷达目标识别中。但高分辨距离像对目标的运动很敏感,而且易受到杂波的干扰。针对这一问题,为了克服目标高分辨距离像的姿态敏感性和平移敏感性,利用小波去噪、平均距离像等方法得到关于目标更为稳定的高分辨距离像。对高分辨距离像的仿真实验表明,该方法获得的结果比直接结果具有更高的精度和可靠性。     

基于Contourlet域K-L变换的SAR图像相干斑抑制

针对SAR图像相干斑噪声去除问题,提出了一种基于多尺度分解的Contourlet域K-L变换的SAR图像去噪的新方法。方法首先对源图像进行Contourlet分解,在不同频段的子带图像中,利用K-L变换进行能量保持即提出信号的主要特征,用重构图像来进行去噪,最后通过Contourlet逆变换得到去噪之后的图像。在SAR图像上的实验结果表明,方法不仅较好地保持了图像的纹理和细节特征及边缘特征,且信噪比也较高。