Contrast enhancement in retinal image via multi-scale geometrical analysis

Recently,there has been a growing awareness to theobservation that wavelets may not be the best choiceforrepresenting natural i mages .This observation is due tothe fact that wavelets are blindtothe smoothness alongthe edges commonly found in i mages .In …     

高分辨率红外图像的分层自适应阈值Curvelet系数萎缩去噪方法

高分辨率红外图像在基于小波系数阈值萎缩的去噪过程中,容易导致边缘模糊或丢失等失真。文中首次引入基于wrapping的第二代快速Curvelet变换,对图像边缘信息进行有效的稀疏保存,并采用分层自适应阈值算法独立估计每个尺度、方向上的Curvelet系数噪声阈值,并针对红外图像的Curvelet系数能量高度集中于低尺度系数的特点,采用尺度相关的硬阈值对染噪图像的Curvelet系数进行处理。实验结果表明：在不同噪声条件下,与基于小波系数的Visu Shrink,Penalized,sparsity-norm阈值等去噪算法相比,文中提出的去噪算法取得了较好的去噪效果,在噪声方差σ=30时,使用该方法的峰值信噪比(PSNR)可高达31.77 dB,去噪后的图像边缘保持良好,具有较好的视觉效果;同时,文中建议算法的计算量比传统Curvelet降低了70%以上,适合在DSP等嵌入式系统应用。     

基于曲波变换的遥感图像融合研究

以SAR与可见光图像、多光谱与全色图像为研究对象,提出了一种基于曲波变换的遥感图像融合方法.首先将图像进行曲波变换,然后在不同的频率域利用融合规则融合曲波系数,最后通过重构得到融合图像.采用均方误差、偏差指数等指标对融合效果进行了客观评价,并与基于小波变换的融合进行了比较.实验结果表明,该方法在保留原始图像重要信息、抑制噪声能力方面均优于小波变换方法.     

Moving window-based double Haar wavelet transform for image processing.

Image denoising is a lively research field. The classical nonlinear filters used for image denoising, such as median filter, are based on a local analysis of the pixels within a moving window. Recently, the research of image denoising has been focused on the wavelet domain. Compared to the classical nonlinear filters, it is based on a global multiscale analysis of images. Apparently, the wavelet transform can be embedded in a moving window. Thus, a moving window-based local multiscale analysis is obtained. In this paper, based on the Haar wavelet, a class of nonorthogonal multi-channel filter bank with its corresponding wavelet shrinkage called Lee shrinkage is derived. As a special case of this filter bank, the double Haar wavelet transform is introduced. Examples show that it is suitable for a moving window-based local multiscale analysis used for image denoising, edge detection, and edge enhancement.     

Noise reduction for magnetic resonance images via adaptive multiscale products thresholding

Edge-preserving denoising is of great interest in medical image processing. This paper presents a wavelet-based multiscale products thresholding scheme for noise suppression of magnetic resonance images. A Canny edge detector-like dyadic wavelet transform is employed. This results in the significant features in images evolving with high magnitude across wavelet scales, while noise decays rapidly. To exploit the wavelet interscale dependencies we multiply the adjacent wavelet subbands to enhance edge structures while weakening noise. In the multiscale products, edges can be effectively distinguished from noise. Thereafter, an adaptive threshold is calculated and imposed on the products, instead of on the wavelet coefficients, to identify important features. Experiments show that the proposed scheme better suppresses noise and preserves edges than other wavelet-thresholding denoising methods.     

The curvelet transform for image denoising

We describe approximate digital implementations of two new mathematical transforms, namely, the ridgelet transform and the curvelet transform. Our implementations offer exact reconstruction, stability against perturbations, ease of implementation, and low computational complexity. A central tool is Fourier-domain computation of an approximate digital Radon transform. We introduce a very simple interpolation in the Fourier space which takes Cartesian samples and yields samples on a rectopolar grid, which is a pseudo-polar sampling set based on a concentric squares geometry. Despite the crudeness of our interpolation, the visual performance is surprisingly good. Our ridgelet transform applies to the Radon transform a special overcomplete wavelet pyramid whose wavelets have compact support in the frequency domain. Our curvelet transform uses our ridgelet transform as a component step, and implements curvelet subbands using a filter bank of a; trous wavelet filters. Our philosophy throughout is that transforms should be overcomplete, rather than critically sampled. We apply these digital transforms to the denoising of some standard images embedded in white noise. In the tests reported here, simple thresholding of the curvelet coefficients is very competitive with "state of the art" techniques based on wavelets, including thresholding of decimated or undecimated wavelet transforms and also including tree-based Bayesian posterior mean methods. Moreover, the curvelet reconstructions exhibit higher perceptual quality than wavelet-based reconstructions, offering visually sharper images and, in particular, higher quality recovery of edges and of faint linear and curvilinear features. Existing theory for curvelet and ridgelet transforms suggests that these new approaches can outperform wavelet methods in certain image reconstruction problems. The empirical results reported here are in encouraging agreement.     

Nonlinear multiscale wavelet diffusion for speckle suppression and edge enhancement in ultrasound images

This paper introduces a novel nonlinear multiscale wavelet diffusion method for ultrasound speckle suppression and edge enhancement. This method is designed to utilize the favorable denoising properties of two frequently used techniques: the sparsity and multiresolution properties of the wavelet, and the iterative edge enhancement feature of nonlinear diffusion. With fully exploited knowledge of speckle image models, the edges of images are detected using normalized wavelet modulus. Relying on this feature, both the envelope-detected speckle image and the log-compressed ultrasonic image can be directly processed by the algorithm without need for additional preprocessing. Speckle is suppressed by employing the iterative multiscale diffusion on the wavelet coefficients. With a tuning diffusion threshold strategy, the proposed method can improve the image quality for both visualization and auto-segmentation applications. We validate our method using synthetic speckle images and real ultrasonic images. Performance improvement over other despeckling filters is quantified in terms of noise suppression and edge preservation indices.     

基于Curvelet变换与小波包变换联合的图像去噪算法

小波包变换在处理图像中的平滑区域时能够起到较好的效果,而Curvelet变换可以更好地逼近线性奇异高维函数,对图像的边缘区域有最稀疏的表示.在此基础上提出了基于二者联合的图像去噪算法,在对含噪图像进行分割后,分别对线性区域和平滑区域采用Curvelet阈值去噪处理和小波包阈值去噪处理.该方法充分发挥了二者各自的优势,实验表明,它对图像的去噪效果要优于单纯的Curvelet或小波包去噪方法.     

基于二代curvelet与wavelet变换的自适应图像融合

针对同一场景红外图像与可见光图像的融合问题,提出了一种基于二代curvelet与wavelet变换的自适应图像融合算法。首先对源图像进行快速离散curvelet变换,得到不同尺度与方向下的粗尺度系数和细尺度系数;根据红外图像与可见光图像的不同物理特性以及人类视觉系统特性,对不同尺度与方向下的粗尺度系数和细尺度系数采用基于离散小波变换的图像融合方法,在小波域中,对低频系数采用基于红外图像与可见光图像的不同物理特性的自适应融合规则,对高频系数采用基于邻域方向对比度与局部区域匹配度相结合的自适应融合规则,然后进行小波逆变换得到融合的curvelet系数;最后,进行快速离散curvelet逆变换得到融合图像。实验结果表明,该方法能够更加有效、准确地提取图像中的特征,是一种有效可行的图像融合算法。     

利用多尺度变换提高数字全息再现像质量

针对三维物体数字全息实验系统的特点,提出了基于多尺度变换的数字图像处理方法.利用小波变换和Curvelet变换的多尺度处理,成功滤除再现像中的零级衍射光斑,有效减小散斑噪声的影响并保留更多物像边缘信息,得到较高质量的数字全息再现像.实验结果表明,该方法具有较高实用性.     

Curvelet based face recognition via dimension reduction

Multiresolution ideas, notably the wavelet transform, have been proved quite useful for analyzing the information content of facial images. Numerous papers and research articles have discussed the application of wavelet transform in face recognition. However, little attention has been paid to the newly developed multiresolution tools (contourlet, curvelet, etc.) despite their improved directional elements and other promising abilities compared to traditional wavelet transform. In this article we introduce the application of digital curvelet transform in conjunction with different dimensionality reduction tools, looking particularly at the problem of facial feature extraction from 2D images. The purpose of this paper is exploratory. We do not claim that the results achieved here are the best possible. Rather, we aim at showing that curvelets can serve as an effective alternative to wavelets as a feature extraction tool. This work can be seen as a stepping stone for further research in this direction. Our methods have been evaluated on well-known databases like ORL, Essex Grimace and Yale face. Curvelet based results have been compared with that achieved using wavelets and other existing techniques to show that curvelets indeed has the potential to supersede wavelet based results.     

Chromosome image enhancement using multiscale differential operators

Chromosome banding patterns are very important features for karyotyping, based on which cytogenetic diagnosis procedures are conducted. Due to cell culture, staining, and imaging conditions, image enhancement is a desirable preprocessing step before performing chromosome classification. In this paper, we apply a family of differential wavelet transforms (Wang and Lee, 1998), (Wang, 1999) for this purpose. The proposed differential filters facilitate the extraction of multiscale geometric features of chromosome images. Moreover, desirable fast computation can be realized. We study the behavior of both banding edge pattern and noise in the wavelet transform domain. Based on the fact that image geometrical features like edges are correlated across different scales in the wavelet representation, a multiscale point-wise product (MPP) is used to characterize the correlation of the image features in the scale-space. A novel algorithm is proposed for the enhancement of banding patterns in a chromosome image. In order to compare objectively the performance of the proposed algorithm against several existing image-enhancement techniques, a quantitative criteria, the contrast improvement ratio (CIR), has been adopted to evaluate the enhancement results. The experimental results indicate that the proposed method consistently outperforms existing techniques in terms of the CIR measure, as well as in visual effect. The effect of enhancement on cytogenetic diagnosis is further investigated by classification tests conducted prior to and following the chromosome image enhancement. In comparison with conventional techniques, the proposed method leads to better classification results, thereby benefiting the subsequent cytogenetic diagnosis.     

一种基于二代曲波系数乘积的图象去噪方法

曲线波变换是一种多尺度变换,对于具有光滑曲线奇异性的目标函数,曲线波提供了稳定的、高效的和近于最优的表示.在第二代曲线波的基础上,利用曲线波分解中不同尺度的系数也具有相同的特点,提出了基于第二代曲波的系数乘积去噪算法.实验结果表明,提出的算法明显优于小波图像去噪方法,也优于曲线波的阈值方法.     

基于小波变换与曲波变换的图像插值

提出了一种组合小波变换与曲波变换稀疏约束的图像插值算法。利用小波变换对图像纹理成份和曲波变换对图像卡通成份的稀疏表示特性,首先将图像插值问题转化成稀疏约束的图像重建问题,然后通过迭代投影对复原最优化问题进行求解,从而实现成份自适应的图像插值。实验结果表明,相比于现在有图像插值算法,本文算法可以显著地提高被插值图像的峰值信噪比(PSNR)和视觉质量。     

镜像曲波掌部静脉影像增强方法

针对掌部静脉红外影像信噪比低、对比度不高、难以实现准确特征提取的情况,提出一种基于多尺度镜像曲波变换的掌部静脉影像增强新方法.基于多尺度曲波系数表达能力的剖析,该方法完全抑制了噪声高、特征信息少的高频子带系数,在去噪的同时非线性增强了细节特征丰富的中频子带系数,拉伸了反映影像整体对比度的低频子带系数.实验表明,该方法主观视觉评价和客观评价指数都显著提高,有效增强了低对比度掌部静脉红外影像特征,提高了影像信噪比和信息熵,其对静脉边缘特征的表达能力更优于双正交小波增强和直方图均衡化方法.     

Multiscale contrast enhancement for radiographies: Laplacian Pyramid versus fast wavelet transform

Contrast enhancement of radiographies based on a multiscale decomposition of the images recently has proven to be a far more versatile and efficient method than regular unsharp-masking techniques, while containing these as a subset. In this paper, we compare the performance of two multiscale-methods, namely the Laplacian Pyramid and the fast wavelet transform (FWT). We find that enhancement based on the FWT suffers from one serious drawback-the introduction of visible artifacts when large structures are enhanced strongly. By contrast, the Laplacian Pyramid allows a smooth enhancement of large structures, such that visible artifacts can be avoided. Only for the enhancement of very small details, for denoising applications or compression of images, the FWT may have some advantages over the Laplacian Pyramid.     

基于小波变换多尺度积的图像融合算法

图像融合是图像处理中的关键技术之一。它在军事和民用图像处理领域获得了广泛的应用。提出了一种新的基于小波变换多尺度积的图像融合算法，小波变换多尺度积具有放大信号边缘特征和降低信号噪声的特点，有利于在融合图像中保持图像的细节特征。利用统计分析的评判准则，如熵、标准偏差评价图像的融合效果。实验结果表明该方法提高了图像的熵和标准偏差。在保留原图像信息的情况下增强了融合图像的细节信息。     

采用提升方向波变换的异源图像融合新算法

方向波(Directionlet)变换是一种基于格子的歪斜小波变换,与标准二维小波变换相比,它具有多方向性和各向异性,能够更好地描述图像的特征.针对异源图像融合这一研究热点,提出了一种新的基于方向波变换的图像融合方法,并采用提升算法有效地解决了该变换方法的运算速度问题.首先,对已配准的两幅图像分别沿变换和队列方向进行次数不等的提升变换,得到具有各向异性的子图;然后,采用低频子图直接平均融合,高频部分选择具有较强各向异性信息分量的方法得到融合图像的所有方向波变换系数;最后,经过反变换得到融合图像.实验结果表明:该算法的融合效果和运算速度都优于标准小波变换和其他的二代小波变换.     

基于方向小波变换的边缘检测算法

提出了一种基于方向小波变换的边缘检测算法.本文详细介绍了方向小波变换的原理、基于此的图像边缘检测算法,比较了方向小波变换和传统小波变换、Canny算子在图像边缘检测的效果.实验结果表明,方向小波变换更符合图像的方向、纹理特征,因此更能反映图像的边缘信息,对传统的小波变换、Canny边缘检测算法有一定程度的改进.