Image Denoising Using Trivariate Shrinkage Filter in the Wavelet Domain and Joint Bilateral Filter in the Spatial Domain

This correspondence proposes an efficient algorithm for removing Gaussian noise from corrupted image by incorporating a wavelet-based trivariate shrinkage filter with a spatial-based joint bilateral filter. In the wavelet domain, the wavelet coefficients are modeled as trivariate Gaussian distribution, taking into account the statistical dependencies among intrascale wavelet coefficients, and then a trivariate shrinkage filter is derived by using the maximum a posteriori (MAP) estimator. Although wavelet-based methods are efficient in image denoising, they are prone to producing salient artifacts such as low-frequency noise and edge ringing which relate to the structure of the underlying wavelet. On the other hand, most spatial-based algorithms output much higher quality denoising image with less artifacts. However, they are usually too computationally demanding. In order to reduce the computational cost, we develop an efficient joint bilateral filter by using the wavelet denoising result rather than directly processing the noisy image in the spatial domain. This filter could suppress the noise while preserve image details with small computational cost. Extension to color image denoising is also presented. We compare our denoising algorithm with other denoising techniques in terms of PSNR and visual quality. The experimental results indicate that our algorithm is competitive with other denoising techniques.     

基于稀疏表示的红外图像去噪算法研究

红外图像具有动态范围窄、对比度低、易受噪声污染等缺点,传统红外图像去噪算法在去除噪声的同时也滤掉了图像细节。提出了一种基于稀疏表示的红外图像去噪新方法。该方法首先将原始红外图像进行聚类分析,再将每一聚类子图像分解成字典,由稀疏系数矩阵重构去噪后的红外图像。实验结果表明,该方法相比于传统红外图像去噪算法,能更好地保留图像的细节信息,视觉效果比较理想。     

Efficient analysis of hybrid directional lifting technique for satellite image denoising

Satellite images are often corrupted by noise in the acquisition and transmission process. While removing noise from the image by attenuating the high frequency image components, it removes some important details as well. In order to improve the visual appearance and retain the useful information of the images, an effective denoising technique is required to reduce the noise level. For denoising, many researches exploit the directional correlation in either spatial or frequency domain. However, the orientation estimation for directional correlation becomes inefficient and error prone in noised circumstances. This paper proposes a new hybrid directional lifting (HDL) technique for image denoising that involves pixel classification and orientation estimation, along with adding small amount of noise, in order to improve the performance efficiency of the technique. Experimental results show that the HDL technique improves both peak signal to noise ratio and visual quality of images with rich textures.     

PCA-Based Spatially Adaptive Denoising of CFA Images for Single-Sensor Digital Cameras

Single-sensor digital color cameras use a process called color demosaicking to produce full color images from the data captured by a color filter array (CFA). The quality of demosaicked images is degraded due to the sensor noise introduced during the image acquisition process. The conventional solution to combating CFA sensor noise is demosaicking first, followed by a separate denoising processing. This strategy will generate many noise-caused color artifacts in the demosaicking process, which are hard to remove in the denoising process. Few denoising schemes that work directly on the CFA images have been presented because of the difficulties arisen from the red, green and blue interlaced mosaic pattern, yet a well designed “denoising first and demosaicking later” scheme can have advantages such as less noise-caused color artifacts and cost-effective implementation. This paper presents a principle component analysis (PCA) based spatially-adaptive denoising algorithm, which works directly on the CFA data using a supporting window to analyze the local image statistics. By exploiting the spatial and spectral correlations existed in the CFA image, the proposed method can effectively suppress noise while preserving color edges and details. Experiments using both simulated and real CFA images indicate that the proposed scheme outperforms many existing approaches, including those sophisticated demosaicking and denoising schemes, in terms of both objective measurement and visual evaluation.      

Content adaptive video denoising based on human visual perception

In this paper, we propose content adaptive denoising in highly corrupted videos based on human visual perception. We introduce the human visual perception in video denoising to achieve good performance. In general, smooth regions corrupted by noise are much more annoying to human observers than complex regions. Moreover, human eyes are more interested in complex regions with image details and more sensitive to luminance than chrominance. Based on the human visual perception, we perform perceptual video denoising to effectively preserve image details and remove annoying noise. To successfully remove noise and recover the image details, we extend nonlocal mean filtering to the spatiotemporal domain. With the guidance of content adaptive segmentation and motion detection, we conduct content adaptive filtering in the YUV color space to consider context in images and obtain perceptually pleasant results. Extensive experiments on various video sequences demonstrate that the proposed method reconstructs natural-looking results even in highly corrupted images and achieves good performance in terms of both visual quality and quantitative measures.     

Comparison of PDE-based nonlinear diffusion approaches for image enhancement and denoising in optical coherence tomography

A comparison between two nonlinear diffusion methods for denoising OCT images is performed. Specifically, we compare and contrast the performance of the traditional nonlinear Perona-Malik filter with a complex diffusion filter that has been recently introduced by Gilboa et al.. The complex diffusion approach based on the generalization of the nonlinear scale space to the complex domain by combining the diffusion and the free Schridinger equation is evaluated on synthetic images and also on representative OCT images at various noise levels. The performance improvement over the traditional nonlinear Perona-Malik filter is quantified in terms of noise suppression, image structural preservation and visual quality. An average signal-to-noise ratio (SNR) improvement of about 2.5 times and an average contrast to noise ratio (CNR) improvement of 49% was obtained while mean structure similarity (MSSIM) was practically not degraded after denoising. The nonlinear complex diffusion filtering can be applied with success to many OCT imaging applications. In summary, the numerical values of the image quality metrics along with the qualitative analysis results indicated the good feature preservation performance of the complex diffusion process, as desired for better diagnosis in medical imaging processing.     

自适应维纳滤波在钢水红外图像去噪中的应用

红外测温系统的应用减少了人工测温的安全事故,但其温度的准确性取决于由红外热像仪获得的图像的质量。为了对钢水红外图像质量的影响,提出了基于自适应维纳滤波的去噪方法。通过自相关的参数指数衰减模型来控制算法的计算复杂性和敏感性,进而有效提高维纳滤波器的去降噪性能。基于对不同温度下钢水红外图像的去噪处理,验证了所提去噪方法比维纳滤波和稀疏分解方法的图像去噪具有更好的去噪性能。     

基于边缘检测的自适应降噪处理方法

提出了一种分区处理的降噪方法,对图像边缘和非边缘区域分别采用自适应中值滤波和均值滤波的方法进行处理.论及的噪声区分高斯噪声和椒盐噪声两种,对含有混合噪声的图像首先滤除椒盐噪声,然后标定图像的边缘细节,在保留图像细节的前提下充分降低噪声.测试结果表明本算法有效降低噪声,改善了图像视觉效果,提高视频编码中压缩效率.     

基于改进三维块匹配滤波的红外全息降噪算法北大核心CSCD

红外全息技术更适用于长距离的大视场成像,但其散斑噪声与高斯噪声对图像质量的影响也更加显著,限制了红外全息技术的应用与推广。本文通过引入全局傅立叶阈值与自适应维纳滤波的方法对三维块匹配滤波算法进行优化,提高了其对红外全息图像降噪的适应性与细节保留,得到改进的三维块匹配滤波算法,并与多种采用传统滤波方法的结果进行了对比。结果表明,改进后的算法可以在对红外全息图像中的高斯噪声等环境噪声与散斑噪声进行降噪的同时保留更多细节,是一种更加适用于红外全息图像的降噪方法。     

Color monogenic wavelet transform for multichannel image denoising

This paper proposes an effective color image denoising algorithm using the combination color monogenic wavelet transform (CMWT) with a trivariate shrinkage filter. The CMWT coefficients are one order of magnitude with three phases: two phases encode the local color information while the third contains geometric information relating to texture within the color image. In the CMWT domain, a trivariate Gaussian distribution is applied to capture statistical dependencies between the CMWT coefficients, and then a trivariate shrinkage filter is derived using a maximum a posteriori estimator. The performance of the proposed algorithm is experimentally verified using a variety of color test images with a range of noise levels in terms of PSNR and visual quality. The experimental results demonstrate that the proposed algorithm is equal to or better than current state-of-the-art algorithms in both visual and quantitative performance.     

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.     

Robust NL-Means Filter With Optimal Pixel-Wise Smoothing Parameter for Statistical Image Denoising

Most denoising methods require that some smoothing parameters be set manually to optimize their performance. Among these methods, a new filter based on nonlocal weighting (NL-means filter) has been shown to have a very attractive denoising capacity. In this paper, we propose fixing the smoothing parameter of this filter automatically. The smoothing parameter corresponds to the bandwidth h of a local constant regression. We use the C_p statistic embedded in Newton's method to optimize h in a point-wise fashion. This statistic also has the advantage of being a reliable measure of the quality of the denoising process for each pixel. In addition, we introduce a robust regression in the NL-means filter designed to greatly reduce the blur yielded by the weighting. Finally, we show how the automatic denoising model can be extended to images degraded by multiplicative noise. Experiments conducted on images with additive and multiplicative noise demonstrate a high denoising power with a degree of detail preservation...     

基于中值滤波器的红外图像噪声处理的改进方法

基于红外图像成像的机理和热像仪工作方式,红外图像往往混有大量随机噪声,而这些都是造成红外图像和视频质量下降的重要原因。中值滤波是一种常用的非线性的滤波方式,对于图像降噪有很好的效果。中值滤波器的处理窗口大小需要提前设定且在处理过程中不能改变。噪声密度越大需要处理窗口越大,但也导致图像的细节相应越模糊。综合窗口大小对降噪能力和细节处理能力的影响,文中对传统的中值滤波器算法进行改进。实验表明,在中值滤波器去除噪声的过程中,随着窗口图像噪声分布情况动态调整窗口大小,能够做到既尽可能去除噪声,又尽可能保持图片的细节,使图像处理整体效果得到提升。     

基于域自适应的红外图像去噪算法

在红外图像去噪任务中,由于真实的红外噪声图像难以大量获取,而使深度学习算法高度依赖于人工合成噪声,无法很好地去除真实的红外噪声。本文提出一种基于域自适应的红外图像去噪算法,包括一个图像转换模块和两个图像去噪模块。首先利用图像转换模块将合成红外噪声图像和真实红外噪声图像相互转换,然后将转换后的图像和原图像作为去噪模块的训练数据,采用一致性损失函数使两个图像去噪模块产生一致的结果,最后将训练后的去噪网络框架用于红外图像去噪任务。实验表明,本文提出的算法与BM3D、DnCNN和ADNet算法相比在合成红外噪声数据集上有更高的指标数值和更好的视觉效果,在真实红外噪声数据集上有同样优秀的去噪效果。证明了该算法具有良好的泛化能力,能够在真实噪声下恢复清晰的红外图像。     

非制冷红外图像降噪算法综述

红外图像处理中,由于非制冷红外探测器工艺技术上的原因,原始的红外图像包含多种噪声,尤其是椒盐噪声、固定或随机条纹噪声。当前有许多红外图像降噪的滤波算法,但在时间、空间、降噪效果、细节保持等方面各有侧重,难以实现完美结合。如何更快速、更高效、更准确地滤除噪声信息,保留更多的细节信息,是今后红外图像处理降噪研究的关键方向。本文调研了目前主流的红外图像降噪算法,并从传统滤波降噪、变换域滤波降噪、基于图像分层处理滤波降噪三大类别进行了分析比较,并且提出了一种结合传统算法和基于图像分层的自适应降噪算法,为今后的相关领域研究人员提供参考。     

一种基于同态滤波的红外图像增强新方法

针对红外图像分辨率低,对比度低,噪声大等不足,提出了一种基于同态滤波的红外图像增强新方法。这种方法首先用自适应中值滤波对红外图像进行去噪,保证噪声不被增强;然后利用同态滤波的原理,对图像细节进行增强。为了克服同态滤波结果所存在缺陷,最后联合使用限制对比度自适应直方图均衡进一步调整图像的动态范围。实验结果验证本文方法对红外图像的分辨率和对比度增强有很好的效果。     

一种小波域与空域相结合的图像滤波方法

利用小波阈值去噪方法和传统空间域Lee 滤波的特点, 提出了一种图像去噪的的组合滤波方案。首先在小波域对图像阈值去噪, 得到预去噪图像; 再在空间域上利用自适应Wiener 滤波器进一步提高恢复图像的精度。为了保证小波域和空间域两种算法之间的匹配, 对预去噪图像中残留噪声的分布进行了研究, 对其噪声方差估计做了改进, 提出了一种估计噪声方差的近似最优公式。仿真实验表明, 与单独的在小波域或空域去噪相比, 该方法的均方误差和信噪比指标均得到了改善。     

Smoothing low-SNR molecular images via anisotropic median-diffusion

We propose a new anisotropic diffusion filter for denoising low-signal-to-noise molecular images. This filter, which incorporates a median filter into the diffusion steps, is called an anisotropic median-diffusion filter. This hybrid filter achieved much better noise suppression with minimum edge blurring compared with the original anisotropic diffusion filter when it was tested on an image created based on a molecular image model. The universal quality index, proposed in this paper to measure the effectiveness of denoising, suggests that the anisotropic median-diffusion filter can retain adherence to the original image intensities and contrasts better than other filters. In addition, the performance of the filter is less sensitive to the selection of the image gradient threshold during diffusion, thus making automatic image denoising easier than with the original anisotropic diffusion filter. The anisotropic median-diffusion filter also achieved good denoising results on a piecewise-smooth natural image and real Raman molecular images.     

分数阶微积分对频域除噪技术的改进

频域除噪是信号降噪技术中的重要内容。由于噪声多为高频,频域除噪技术一般利用低通滤波器滤除含噪信号中的高频部分,以达到除噪的目的。然而图像信号的轮廓以及某些细节部分也为高频,会被低通滤波器当作噪声滤除,降低除噪效果。利用分数阶微积分,对滤波器算法进行细微变换和调整,使其能够更加精确地区分噪声与高频信号,从而在滤除噪声的同时更多地保留高频信号部分。文中通过大量的仿真,证明了该方法较传统的滤波除噪技术具有很大的进步性。     

一种小波域与空域相结合的图像滤波方法

利用小波阈值去噪方法和传统空间域Lee滤波的特点,提出了一种图像去噪的的组合滤波方案。首先在小波域对图像阈值去噪,得到预去噪图像;再在空间域上利用自适应Wiener滤波器进一步提高恢复图像的精度。为了保证小波域和空间域两种算法之间的匹配,对预去噪图像中残留噪声的分布进行了研究,对其噪声方差估计做了改进,提出了一种估计噪声方差的近似最优公式。仿真实验表明,与单独的在小波域或空域去噪相比,该方法的均方误差和信噪比指标均得到了改善。