基于l~1范数的新型脉冲噪声数字滤波器

旨在研究非线性数字滤波器设计问题。基于稳健统计理论和双边滤波思想,首先提出稳健的图像复原统一框架,并由此导出一种数字滤波器的统一设计框架,简洁地建立了非线性数字滤波器与最优能量泛函框架之间的理论联系。基于统一设计框架,随后提出了一种新型脉冲噪声滤波器,即双边l1滤波器。双边l1滤波器赋予噪声点的权重相对于图像信息的权重接近于零,更好地抑制了噪声点对滤波过程的影响,比中值滤波器具有更为鲁棒的滤波机制。实验结果验证了双边l1滤波器抑制脉冲噪声的有效性。     

基于e1范数的新型脉冲噪声数字滤波器

旨在研究非线性数字滤波器设计问题.基于稳健统计理论和双边滤波思想,首先提出稳健的图像复原统一框架,并由此导出一种数字滤波器的统一设计框架,简洁地建立了非线性数字滤波器与最优能量泛函框架之间的理论联系.基于统一设计框架,随后提出了一种新型脉冲噪声滤波器,即双边e^1滤波器.双边e^1滤波器赋予噪声点的权重相对于图像信息的权重接近于零,更好地抑制了噪声点对滤波过程的影响,比中值滤波器具有更为鲁棒的滤波机制.实验结果验证了双边e^1滤波器抑制脉冲噪声的有效性.     

NLTV:非局部数字全变差滤波算法

在图像平滑处理过程中,如何设计保持图像边缘和纹理细节的数字图像去噪滤波器一直是人们关注的热点问题。本文在统一描述数字全变差滤波算法（DTV）和数字双边全变差算法（DBTV）的滤波机制的基础上,利用图像像素间的近-远程相关性,分别定义近程相关性和远程相关性两个度量,建立了一种非局部图像滤波自适应双边加权机制,提出一种同时适合高斯噪声和脉冲噪声的非局部数字全变差滤波算法（NLTV）。实验验证了新算法在抑制噪声的同时具有较好的边缘细节和纹理保持性能。     

基于广义Huber-MRF图像建模的超分辨率复原算法

超分辨率图像复原是当今一个重要的热门研究课题.鉴于双边滤波优良的噪声抑制性和鲁棒的边缘保持性,提出一种双边滤波导出的广义MRF(Markov random field)图像先验模型.广义MRF模型不仅继承了双边滤波在阶数大邻域中的双重异性加权机制,且简洁地建立了双边滤波与Bayesian MAP(maximum a posterior)方法之间的理论联系.同时,由广义MRF模型导出了一种各向异性扩散PDE(partial differential equation)的改进数值解法.随后,在MRF-MAP框架下分别考虑高斯噪声和脉冲噪声两种情形,提出一种基于广义Huber-MRF模型的超分辨率复原算法,理论上保证具有严格全局最优解,并且利用半二次正则化思想和最速下降法求解相应的最小能量泛函.不论是视觉效果方面,还是峰值信噪比(PSNR)方面,实验结果都验证了广义Huber-MRF模型在超分辨图像复原中具有更强的噪声抑制性和边缘保持能力.     

一种非线性数字滤波器的统一设计框架及其性能分析

文章旨在研究非线性数字滤波器的统一设计框架问题.基于稳健统计理论和双边滤波思想,首先建立了一种鲁棒的图像复原统一能量泛函.该能量泛函充分融合了双边滤波的双重异性加权机制和稳健ρ-函数对边缘奇异点的鲁棒性处理机制,因而具有更强的边缘保持能力.随后,基于图像复原统一能量泛函的欧拉-拉格朗日方程,导出一种非线性数字滤波器的统一设计框架.特别地,在此统一框架下,双边滤波、数字TV滤波以及自适应平滑均可进行相应的扩展.同时,文中系统比较了各种稳健ρ-函数在边缘保持方面的鲁棒性,并提出一种新型边缘保持性稳健ρ-函数,即ρ(x)=-σ2(1 |x|/σ)exp(-|x|/σ) σ2.不论是视觉效果方面还是峰值信噪比方面,大量实验结果验证了文中统一设计框架的合理性和新型稳健p-函数的边缘保持性.     

基于图的数字全变差模型及其带噪图像任意精度放大

分析了利用Sobolev空间Tikhonov正则化模型对带噪图像进行放大的不足，基于图像的修复模型，提出带噪图像放大的数字全变差模型．利用有向图构造出兼顾噪声去除和图像放大的数字TV滤波器，并利用该滤波器提出一种新颖的图像放大算法．作为算法对比，利用Sobolev空间Tikhonor正则化模型，提出相对应的数字Tikhonov放大算法．结果表明：数字TV放大算法明显优于数字Tikhonov放大算法，不仅较好地抑制了噪声的影响，而且使得任意精度放大的图像边缘清晰、过渡自然，特别适合于目标边缘明显的一类非纹理的医学图像的放大。     

异型纤维图像去噪分析

为了去除异型纤维图像中的噪声,首先分析了异型纤维图像中的噪声模型,然后针对噪声模型提出了一种能同时去除异型纤维图像中高斯和脉冲混合噪声的去噪算法.该算法在全变差(Total Variation,TV)算法的基础上进行了算法改进,综合了中值滤波的优点,在达到去噪目的的同时,较好地处理了去除噪声、保留边缘细节信息这对在图像去噪中存在的矛盾.同时,对参数的选取也做了分析,较好地平衡了去噪效果和处理效率问题.数值对比实验中的视觉效果和客观标准均表明了该去噪算法的有效性。     

自适应Shearlet域约束的全变差图像去噪

采用传统非线性扩散图像去噪方法得到的图像边缘模糊,为此,提出一种有限自适应Shearlet域约束的极小化变分图像去噪算法。通过自适应阈值收缩Shearlet系数,保留图像纹理与边缘空间,利用全变差极小化平滑空间,建立全变差正则化的能量泛函去噪模型。实验结果表明,该算法能在减少图像噪声的同时,保留图像边缘信息,对含有丰富纹理结构的图像,去噪性能更佳。     

基于变分PDE的非线性数字混合滤波器

从局部扩散角度分析了经典变分PDE复原模型的不足,给出一种基于全变差模型和调和模型的混合图像复原模型,并导出了相应的数字混合滤波器.该滤波器可以根据图像的局部梯度特征自适应选取滤波器系数,能在去噪的同时保留边缘,并削弱平滑区域的阶梯效应,具有较好的综合性能.针对该混合滤波器,还设计出相应的图像修补和放大算法.大量仿真实验表明,该滤波器可以很好地应用于图像的去噪、修补和放大.     

一种PCNN的彩色图像脉冲噪声滤波方法

通过脉冲噪声特性总结以及对脉冲耦合神经网络（PCNN）工作机理的分析,建立了一个在RGB色彩空间上的一种基于脉冲耦合神经网络的彩色图像去噪算法及模型。首先利用PCNN的同步脉冲发放特性定位脉冲噪声点的位置;然后利用中值滤波对其进行去噪处理,并将结果与中值滤波等其他滤波方法进行了比较。实验结果表明该方法不但能够有效去除图像中的噪声,而且能够更好地保护图像细节,较传统彩色图像去噪方法有较明显的优越性。     

Image denoising using 2-D FIR filters designed with DEPSO

Digital images are often corrupted by additive noises during transmission. Thus, how to alleviate noise as much as possible has received concerns for decades. In this paper, we present a simple denoising method based on two dimensional (2-D) finite impulse response (FIR) filtering, where by differential evolution particle swarm optimization (DEPSO) algorithm, five two dimensional finite impulse response filters are designed to filter different kinds of pixels. Comprised by differential evolution algorithm and particle swarm optimization algorithm, differential evolution particle swarm optimization algorithm is effective and robust, which helps to yield better denoise performance. And computer simulation demonstrates that the proposed method is superior to the conventional lowpass filtering method, as well as the modern bilateral filtering and stochastic denoising method.     

Improved bilateral filter for suppressing mixed noise in color images

It is a challenging problem to suppress mixed noise in color images. The traditional bilateral filter can excellently reduce additive noise without destroying image edges and details, but it fails to remove impulsive noise. This paper presents an improved bilateral filtering method, which can simultaneously suppress both impulsive and additive noise. The proposed solution first introduces a new weighting function to the bilateral filtering mechanism, which is experimentally more effective than the traditional Gaussian kernel. Then, either the current pixel or the vector median, instead of always the current pixel itself, is chosen as the base to take part in the bilateral filtering action, which is determined by whether the current pixel is a possible impulse or not. The experimental results show that the proposed solution can simultaneously remove impulsive and additive noise while preserving edge structures, and outperforms other vector filtering methods in terms of both objective evaluation and subjectively visual quality.     

基于噪声检测的总变分去噪算法

对受高斯和脉冲混合噪声污染的数字图像去噪方法进行了研究,提出了一种基于噪声检测的自适应总变分(TV)去噪算法。提出的改进算法采用两步迭代框架实现:脉冲噪点检测和全变分图像恢复。第一步中,考虑到脉冲噪声污染的像素点不包含原图像有效信息,采用一种局部统计值,即邻域像素间的随机绝对差排序值(ROAD)估计出噪点的位置;第二步中,采用L2-TV方法进行去噪处理,并对上述过程进行迭代处理,得到去噪图像。在噪点估计过程中引入脉冲噪点水平参数,这样处理的优势在于可更准确地检测出脉冲噪点;而L2-TV去噪方法可很好地去除高斯噪声,两者结合有效地解决了TV算法存在误判图像脉冲噪声为边缘而产生假边缘的问题。与现有典型去噪方法的比较实验表明,该迭代去噪算法,即TV-ROAD算法,既能够去除混合噪声,又可以保留图像细节特征。     

一种改进的形态-小波阈值降噪方法

现场采集的旋转机械振动信号中一般存在强脉冲干扰和白噪声,小波阈值滤波对白噪声的滤波效果好,但对脉冲干扰的滤除效果不佳,而形态滤波虽然可以有效地剔除脉冲干扰,但不易滤除白噪声。针对这些问题,提出了一种基于形态滤波和改进的小波阈值滤波相结合的综合滤波方法。该滤波方法结合了两种滤波方法的优点,能够同时有效地滤除旋转机械振动信号中的脉冲干扰和白噪声。通过仿真信号和现场采集的转子振动信号进行了实验验证,结果表明,形态滤波与改进的小波阈值滤波相结合的滤波方法很好地滤除了转子振动信号中的噪声成分,进而提取出淹没在噪声中的转子振动信号。     

Adaptive Impulsive Noise Removal in TV Picture Transmission

This paper presents the capability and real-time processing features of an adaptive filter for the removal of impulse noise in TV picture transmission. The basic method, which has been extensively tested on data corrupted by randomly distributed impulses, is first enhanced to deal with real TV pictures suffering from impulse noise. In particular, the characteristics of the real impulses are incorporated in the noise identification stage. Then the suitability of the method in terms of real-time processing for images corrupted by randomly distributed impulse noise and those corrupted by real impulse strokes is analytically and numerically investigated. Impulse corrupted TV picture sequences are used to demonstrate that the proposed method potentially provides a real-time solution to quality TV picture transmission.     

Efficient noise reduction in images using directional modified sigma filter

A noise reduction of images using a directional modified sigma filter is proposed. It is important that an image should include accurate values without noise for large-scale data processing of a cloud computing environment. A conventional sigma filter has been shown to be a good solution both in terms of filtering accuracy and computational complexity. However, the sigma filter does not preserve small edges well especially for the high level of additive noise. In this paper, we propose a new method using a modified sigma filter. In our proposed method, an input image is first decomposed into two components that have features of horizontal, vertical, and diagonal direction. Then two components are applied: high-pass filtering (HPF) and low-pass filtering (LPF). By applying the conventional sigma filter separately on each of them, an output image is reconstructed from the filtered components. Added noise is removed and our proposed method preserves the edges in the image. Comparative results from experiments show that the proposed algorithm achieves higher gains than the sigma filter and modified sigma filter, which are 2.6 dB PSNR on average and 0.5 dB PSNR, respectively. When relatively high levels of noise are added, the proposed algorithm shows better performance than the two conventional filters. The proposed method can be efficiently applied in digital cameras, digital TV, and smart phones.     

A fuzzy filter for the removal of random impulse noise in image sequences

In this paper a new fuzzy filter for the removal of random impulse noise in digital grayscale image sequences is presented. The filter consists of different noise detection and filtering steps, in which the fuzzy set theory is used. This noise detection is based both on spatial and on temporal information and has the aim to prevent the filtering of noise free image pixels. The filtering of the detected noisy pixels is finally performed in a motion compensated way. Experimental results show that our method outperforms other state-of-the-art filters in terms of the peak-signal-to-noise ratio as well as visual quality.     

Switching-based filter based on Dempster’s combination rule for image processing

In this work, a two-pass switching rank-ordered arithmetic mean (TSRAM) filter that preserves image details while effectively suppressing impulse noise is proposed to improve the performance of switching-based median filters. The proposed filter mechanism includes an efficient impulse detector based on the Dempster-Shafer (D-S) evidence theory and a rank-ordered arithmetic mean filter that works by estimating the noise-free ordered mean values excluding the current pixel. A modified Dempster’s combination rule is applied to the impulse detector. To improve filtering performance, a simple switching median filter is included to perform second-pass filtering. Experimental results show that the proposed filter outperforms many well-accepted switching-based median filters in terms of both noise suppression and detail preservation, providing excellent robustness at various percentages of impulse noise.     

图像去噪混合滤波方法

传统均值滤波和中值滤波对高斯型噪声和椒盐型噪声有着不同的滤波特性。实际滤波时，由于图像往往会受到两种不同性质噪声的同时干扰，因此，单独采用中值滤波或均值滤波都不会达到最好的去噪效果，为了能同时对两种不同性质的噪声进行滤除，现提出了一种新的混合滤波算法，该算法首先利用局部阈值把受高斯型噪声污染的像素和受脉冲型噪声污染的像素区别开来，然后对受高斯噪声污染的像素采用均值滤波算法，而对受椒盐噪声污染的像素则采用中值滤波算法进行去噪。仿真结果证明，该方法更具有实用性和有效性。