A universal noise removal algorithm with an impulse detector.

We introduce a local image statistic for identifying noise pixels in images corrupted with impulse noise of random values. The statistical values quantify how different in intensity the particular pixels are from their most similar neighbors. We continue to demonstrate how this statistic may be incorporated into a filter designed to remove additive Gaussian noise. The result is a new filter capable of reducing both Gaussian and impulse noises from noisy images effectively, which performs remarkably well, both in terms of quantitative measures of signal restoration and qualitative judgements of image quality. Our approach is extended to automatically remove any mix of Gaussian and impulse noise.     

A sparsity-ranking edge-preservation filter for removal of high-density impulse noises

In this study, a novel sparsity-ranking edge-preservation filter (SREPF) is proposed for removal of high-density impulse noise in images. Using the sparse matrix representation, the first stage of SREPF is not only to identify the noisy candidates but also to decide the processing order of them via a rank of noise-pixel sparsity in the working window. Then the second stage of SREPF utilizes a modified double Laplacian convolution to confirm the truly noisy pixels and yield a directional mean to recover them. This new approach has achieved more remarkable success rate of the edge detection than other edge-preservation methods especially in high noise ratio over 0.5. As a result, SREPF has significant improvements in terms of edge preservation and noise suppression exhibited by the peak signal-to-noise ratio (PSNR) and the structural similarity index metric (SSIM). Simulation results show that this method is capable of producing better performance compared to several representative filters.     

A new efficient approach for the removal of impulse noise fromhighly corrupted images

A new framework for removing impulse noise from images is presented in which the nature of the filtering operation is conditioned on a state variable defined as the output of a classifier that operates on the differences between the input pixel and the remaining rank-ordered pixels in a sliding window. As part of this framework, several algorithms are examined, each of which is applicable to fixed and random-valued impulse noise models. First, a simple two-state approach is described in which the algorithm switches between the output of an identity filter and a rank-ordered mean (ROM) filter. The technique achieves an excellent tradeoff between noise suppression and detail preservation with little increase in computational complexity over the simple median filter. For a small additional cost in memory, this simple strategy is easily generalized into a multistate approach using weighted combinations of the identity and ROM filter in which the weighting coefficients can be optimized using image training data. Extensive simulations indicate that these methods perform significantly better in terms of noise suppression and detail preservation than a number of existing nonlinear techniques with as much as 40% impulse noise corruption. Moreover, the method can effectively restore images corrupted with Gaussian noise and mixed Gaussian and impulse noise. Finally, the method is shown to be extremely robust with respect to the training data and the percentage of impulse noise.     

An efficient algorithm for the removal of impulse noise from corrupted images

In this letter, we propose an efficient algorithm, which can successfully remove impulse noise from corrupted images while preserving image details. It is efficient, and requires no previous training. The algorithm consists of two steps: impulse noise detection and impulse noise cancellation. Extensive experimental results show that the proposed approach significantly outperforms many other well-known techniques for image noise removal.     

A new filter for the removal of random-valued impulse noise from highly corrupted images

In this paper, we present a new two-stage filter for the removal of random-valued impulse noise. The new filter identifies noise candidates by analyzing the amount of similar pixels in intensity value, and then reconstructs them by the total variation inpainting method. The experimental results are reported which show the efficiency of our method in removing random-valued impulse noise. Further, our filter can be used for image restoration from images damaged by the superimposed artifacts.     

一种用于抑制椒盐噪声的多窗口中值滤波器

该文提出了一种用于抑制椒盐噪声的多窗口中值滤波算法。算法在招待过程中根据具体情况采用不同大小的滤波窗口。仿真结果表明，与标准中值滤波算法相比，该方法不仅可以有效去除图像中的椒盐噪声，特别是在噪声密度非常大的情况下，表现了很好的性。     

Similar neighbor criterion for impulse noise removal in images

In this paper, a new method is proposed for removing and restoring random-valued impulse noise in images. This approach is based on a similar neighbor criterion, in which any pixel to be considered as an original pixel it should have sufficient numbers of similar neighboring pixels in a set of filtering windows. Compared with other well known methods in the literature, this technique achieves superior performance in restoring heavily corrupted noisy images. Furthermore, it has low computational complexity, and equally effective in restoring corrupted color and gray-level images.     

基于噪声检测的高密度椒盐噪声自适应滤波算法

为了减少图像中的椒盐噪声对后续图像处理的影响,针对高密度噪声污染图像,提出了基于噪声检测的高密度椒盐噪声滤波算法。噪声检测方法理论可靠,保证了较高的噪声检测率,根据噪声点邻域信号点分布的不同采用不同的策略,能最大限度的保护图像的细节信息,使得高密度噪声污染图像也能得到较好地恢复。实验结果表明,所提出的滤波算法具有较强的自适应性、较高的算法保真率及较好的滤波效果。     

Fast algorithm for multiplicative noise removal

In this work, we consider a variational restoration model for multiplicative noise removal problem. By using a maximum a posteriori estimator, we propose a strictly convex objective functional whose minimizer corresponds to the denoised image we want to recover. We incorporate the anisotropic total variation regularization in the objective functional in order to preserve the edges well. A fast alternating minimization algorithm is established to find the minimizer of the objective functional efficiently. We also give the convergence of this minimization algorithm. A broad range of numerical results are given to prove the effectiveness of our proposed model.     

High performance detection filter for impulse noise removal in images

A high performance detection (HPD) filter is proposed for impulse noise removal in images. In this approach, the noisy pixels are detected iteratively through several phases, based on a set of unique similarity criteria. Simulation results show that the HPD filter outperforms others at medium to high noise rates and suppresses impulse noise effectively while preserving image details, even thin lines.     

基于形态学和OTSU算法的红外图像降噪及分割

为了在去除红外图像的脉冲噪声的同时,有效保持和恢复图像的边缘细节,提出了基于灰度特征和众数原则的迭代双边中值滤波方法。此方法根据脉冲噪声的灰度特征以及众数原则,将取最小和最大值、而在邻域的灰度分布上孤立的像素识别为噪声。根据基于空间距离和灰度相似的加权系数,对邻域中的无噪像素与已经去噪恢复的像素进行频次加权,用频次加权中值作为噪声像素的估计值。其中,以迭代遍历的方式执行去噪处理,充分利用前次遍历处理的结果,以去除高密度噪声。实验数据证明,此方法去噪所得的PSNR和EPI值以及视觉效果均优于现有方法,具有更好的去噪性能。     

A two-stage shearlet-based approach for the removal of random-valued impulse noise in images

In this paper, we introduce a novel two-stage denoising method for the removal of random-valued impulse noise (RVIN) in images. The first stage of our algorithm applies an impulse-noise detection routine that is a refinement of the HEIND algorithm and is very accurate in identifying the location of the noisy pixels. The second stage is an image inpainting routine that is designed to restore the missing information at those pixels that have been identified during the first stage. One of the novelties of our approach is that our inpainting routine takes advantage of the shearlet representation to efficiently recover the geometry of the original image. This method is particularly effective to eliminate jagged edges and other visual artifacts that frequently affect many RVIN denoising algorithms, especially at higher noise levels. We present extensive numerical demonstrations to show that our approach is very effective to remove random-valued impulse noise without any significant loss of fine-scale detail. Our algorithm compares very favourably against state-of-the-art methods in terms of both visual quality and quantitative measurements.     

Cognition and removal of impulse noise with uncertainty

Uncertainties are the major inherent feature of impulse noise. This fact makes image denoising a difficult task. Understanding the uncertainties can improve the performance of image denoising. This paper presents a novel adaptive detail-preserving filter based on the cloud model (CM) to remove impulse noise. It is called the CM filter. First, an uncertainty-based detector identifies the pixels corrupted by impulse noise. Then, a weighted fuzzy mean filter is applied to remove the noise candidates. The experimental results show that, compared with the traditional switching filters, the CM filter makes a great improvement in image denoising. Even at a noise level as high as 95%, the CM filter still can restore the image with good detail preservation.     

Predictive-based adaptive switching median filter for impulse noise removal using neural network-based noise detector

A predictive-based adaptive switching median filter for impulse noise removal using neural network-based noise detector (PASMF) is presented. The PASMF has a noise detector stage and a noise filtering stage. The noise detector implemented using feed forward neural network detects impulse noises in the corrupted image. The filter is a modified median filter, which removes detected impulse noise from the image. In contrast to the standard median filter, the PASMF computes the median value after predicting the appropriate values for neighboring corrupted pixels of the current central pixel in the filtering window. The results show that the PASMF gives better performance visually as well as in terms of different performance measures.     

基于PCNN噪声检测的两级脉冲噪声滤波算法

为有效滤除图像中严重脉冲噪声干扰,提出了一种基于改进型脉冲耦合神经网络(PCNN)噪声检测的两级脉冲噪声滤除算法。该算法首先利用PCNN同步脉冲发放特性区分定位噪声点和信号点位置,其次根据噪声点局部邻域信息对噪声进行第1级自适应滤波,然后再利用具有保护边缘细节特点的多方向信息中值滤波器(MF进行第2级辅助滤波。实验结果表明,该算法在噪声检测中无需设定检测阈值,噪声检测精度较高;在去噪过程中不但有效滤除噪声干扰,而且能很好地保护图像边缘细节等信息,具有较好的主观视觉效果和客观评价指标,比传统MF及其它相关算法有更优的滤波性能,去噪能力强、信噪比高和适应性好,特别是对受严重噪声污染的图像,显示了更大的优越性。     

基于像素梯度自适应迭代中值滤波器的图像脉冲噪声抑制算法

图像脉冲噪声移除是获得高质量图像的关键。本文通过热红外相机成像原理研究,提出了一种基于像素梯度自适应迭代中值滤波器的图像脉冲噪声抑制算法。首先,根据相机的调制传递函数计算获取原始图像的最大像素梯度,继而建立相应的像素梯度集合。然后,计算原始图像与对应像素梯度滤波图像的梯度权重均方根误差集合,并将该集合高斯分布的最大值对应的像素梯度确定为最佳像素梯度。最后,根据图像中脉冲噪声的密度和复杂度,确定所提滤波器的自适应窗口大小和迭代次数。大量实验结果表明,所提滤波器对移除8位、16位的单通道脉冲噪声图像展现出良好的鲁棒性。与其它先进方法相比,该方法可以实时移除真实热红外相机采集图像中低密度的随机值脉冲噪声和SAPN,并实现噪声抑制过程中99.5%以上的原始像素不会遭受破坏。除此之外,针对高密度SAPN抑制,该方法获得了具有竞争力的结果,与运行时间较快的滤波方法相比表现出较好的PSNR和SSIM,与PSNR和SSIM较优秀的去噪方法相比表现出较快的运行时间。对于极限SAPN（99%）破坏的图像,也能够恢复有意义的图像细节。     

A restoration algorithm for images contaminated by mixed Gaussian plus random-valued impulse noise

In this paper, we study the problem of restoring the image corrupted by additive Gaussian noise plus random-valued impulse noise. A novel noise classifier is firstly created to identify different noise in the corrupted image. Then, we use the remaining effective information to train an adaptive overcomplete dictionary for sparse representation of image patches with the help of masked K-SVD algorithm. Because of the adaptive nature of the learned dictionary, it can represent the image patches in concern more efficiently. Then, we minimize a variational model containing an optional data-fidelity term and a smooth regularization term respecting sparse representation of every image patch to get the final restored image. Extensive experimental results prove that our method cannot only remove noise from the corrupted image well, but also preserve more details and textures. It surpasses some state-of-the-art methods.     

Modified LMS algorithm for unbiased impulse response estimation innonstationary noise

In the presence of input interference, the Wiener solution for impulse response estimation is biased. It is proved that bias removal can be achieved by proper scaling of the optimal filter coefficients and a modified least mean squares (LMS) algorithm is then developed for accurate system identification in noise. Simulation results show that the proposed method outperforms two total least squares (TLS) based adaptive algorithms under nonstationary interference conditions     

冲激噪声下相干信源的求根MUSIC算法

由于在冲激噪声背景下,MUSIC算法对信源波达方向估计将失去韧性,且无法解相干,运算量较大,为此对前后向平滑算法和修正的MUSIC算法进行了改进,提出相干信源波达方向估计新算法。简要分析了线阵模型以及共变,将阵列输出矩阵从二阶原点矩扩展到低阶矩,通过分析共变矩阵,得到基于共变矩阵的空间谱,再将谱峰搜索转变为多项式求根,最后可得相干信源波达方向估计。通过仿真,在冲激噪声或高斯噪声下,改进算法可以对相干信源的波达方向进行正确估计。算法性能分析表明改进算法具有良好的稳健性。