脊波变换域的一种自适应盲水印算法

为了克服水印鲁棒性和图像视觉质量之间的矛盾,提出了一种脊波变换域自适应盲水印算法.利用脊波变换对图像特征的稀疏表示特性,找出各区域块中视觉重要信息的位置,并将水印嵌入其中.算法中水印嵌入强度依据图像块的内容属性变化,采用了系数可容忍的最大误差作为水印嵌入强度因子,较好地解决了水印鲁棒性和图像视觉质量之间的矛盾.实验结果表明,该算法能够抵抗JPEG压缩、加噪和任意裁剪等攻击,具有很强的鲁棒性,是一种自适应盲水印算法.     

基于脊波变换的图像压缩算法

自然图像包括大量的具有明显“直线边缘”的图像,而且边缘表示了图像的主要信息。利用脊波对“直线奇异”的良好刻画,针对具有直线特征的图像,设计基于脊波变换的有损压缩算法。首先对图像进行脊波变换,然后对变换系数进行标量量化、扫描、游程编码和熵编码。仿真实验表明,与基于小波变换的JPEG 2000压缩算法相比,该算法能获得更高的压缩率,同时保持较高的信噪比。     

基于改进的DWT的图像盲水印算法研究

给出一种基于改进的DWT的图像盲水印算法,该水印采用文本图像水印.首先,利用小波变换的多分辨率特性,对小波变换后的子图像系数采样.然后将其嵌入原始图像各级变换的不同位置,使嵌入的水印具有更好的保密性和可辨识性.通过试验表明,该算法对剪切、JPEG或JPEG2000压缩等图像退化处理或攻击均具有较强的鲁棒性.     

基于NSCT和形态学的微透镜表面分割

为有效分割精密光学微透镜及微透镜阵列的表面不同特征区域,结合具有良好平移不变性、多尺度多方向分解能力的非下采样轮廓波变换(NSCT)和数学形态学运算,提出了一种微透镜表面特征边缘提取方法.采用非下采样轮廓波变换分解微透镜表面,得到粗尺度系数和精细尺度系数.粗尺度系数采用数学形态学处理,获得近似特征边缘;精细尺度系数根据变换域系数模值、硬阈值处理后得到细节边缘.融合粗尺度和精细尺度边缘作为微透镜表面的边缘.实验表明,该方法可准确识别透镜表面的特征边缘,比传统的边缘算子更为有效.     

一种基于曲波变换的数字水印算法

提出了一种基于曲波变换的数字水印算法,该算法将水印信息嵌入到曲波变换的粗尺度系数矩阵中,考虑到水印鲁棒性和不可见性的要求,选择合理的嵌入强度,使得加水印图像的不可见性更好。由于选择了代表图像大多数能量的低频系数嵌入,在抵抗JPEG压缩、噪声攻击、中值滤波等攻击性能方面较理想,因此文中算法具有较强的鲁棒性,能满足水印系统不可见性和鲁棒性的要求。     

基于图像小波变换低频系数的数字水印算法

提出一种基于小波变换且具有图像自适应性的数字水印算法.通过小波变换将图像分解成不同空间与频率的系数,这些系数之间存在一种树结构关系,利用树结构关系对最低频系数进行分类,对不同类采用不同的嵌入对策,将水印信号嵌入在最低层逼近系数中,而现有基于小波变换的算法将水印嵌入在各个方向的中频或高频系数中.实验结果表明,该算法具有不可见性,对于通常的图像失真具有较好的鲁棒性,说明最低频成分并不是水印的禁区.     

基于小波系数块能量和HVS的FCM水印算法

为增强水印的鲁棒性,提出一种基于小波变换的改进数字水印算法.该算法将原始图像小波变换后的细节子图分割成互不重叠的系数块.通过对各系数块能量特征分析,并结合人类视觉系统特征(HVS)对特征值进行模糊c-均值聚类(FCM)分析取得更适合嵌入水印的块,在适合嵌入块上应用隶属度值进行自适应的水印嵌入.实验表明该算法有更好的鲁棒性和不可见性.     

采用几何校正优化的轮廓波水印算法

针对目前的图像水印难以同时抵抗常规攻击和几 何攻击的不足,提出一种新的轮廓波 水印算法。水印嵌入阶段,该方法将宿主图像进行离散小波变换和非下采样轮廓波变换,并 将水印嵌入到熵值最大的高频子带,解决了将水印嵌入低频无法抵抗几何攻击及高频不能 很好抵抗滤波等常规攻击的问题。在水印嵌入前对嵌入区域进行加密处理,提高算法的安全 性。水印提取阶段,利用Zernike矩对含水印图像进行几何校正再进行提取,进一步提高了 算法的抗几何攻击能力。最后利用峰值信噪比和归一化系数对算法进行评价,验证算法的不 可感知性和鲁棒性。仿真实验结果表明,算法在不同的宿主图像和水印图像上均表现良好。 该算法在具有较好不可见性的基础上,除了对常规攻击具有很好的抵抗力,对几何攻击也具 有强鲁棒性,归一化系数(normalization coefficient,NC)均达到了0.99     

一种基于DWT-DCT变换强鲁棒性的数字水印算法

提出一种基于DWT-DCT的新的数字图像水印算法.该算法充分利用离散小波变换多分辨率特性和离散余弦变换能量压缩特性,综合两种变换的优点.在嵌入时,先对宿主图像进行DWT变换,得到4个子带.选择HL子带进行DCT变换,然后将加密后的水印嵌入DCT变换后得到子带中频系数.为获得较强的安全性,在嵌入前先对水印进行混沌加密.试验结果表明基于DWT-DCT联合的水印算法具有较强的不可见性,对常见的攻击具有较强的鲁棒性.     

基于图像内容的脊波变换域数字水印模型和算法研究

在研究人类视觉(HVS)特性的基础上提出了一种在脊波变换域基于图像内容的数字水印模型。在此模型中,嵌入数字水印的强度归结于数字图像脊波系数的视觉掩盖效应,文中建立了脊波变换域人眼临界可见误差模型。图像的水印检测被归结为Neymann-PeaLrson准则下的统计模型,该模型被用来估算水印检测的最优阈值。作为算例,将临界可见误差模型结合扩展谱技术,提出了一种新颖的图像自适应水印算法,并给出了相应的实验结果。实验表明算法性能大幅度提高。     

A robust spread spectrum based image watermarking in ridgelet domain

A new robust method of spread spectrum based image watermarking is proposed in this article. Spread spectrum technique and scrambling are used for increasing robustness and invisibility of the algorithm. Our suggested method is carried out using ridgelet transform as an efficient transform for representing images with line singularities. In embedding part, the host image is partitioned into non-overlapping blocks and ridgelet transform is applied to each single block. In this way, a curved edge is divided into some straight edges so that ridgelet transform shows optimal performance even for complicated images with curve edges. To embed the watermark bits, the best directions of ridgelet coefficients are selected with respect to their variance intensity. In extraction part, a computationally efficient detection method is used for detecting watermark logo blindly from distorted watermarked image. To achieve more robust algorithm firstly, we find the best place to insert the watermark bits and secondly, we encode the scrambled watermark bits by pseudo random sequences with an authentication key. Robustness of our proposed method is tested against different kinds of attacks. According to the experimental results, proposed method shows much improved performance in comparison to other published works.     

A robust blind watermarking algorithm for depth-image-based rendering 3D images

The protection of 3D contents from illegal distribution has attracted considerable attention and depth-image-based rendering (DIBR) is proved to be a promising technology for 3D image and video displaying. In this paper, we propose a new digital watermarking scheme for DIBR 3D images based on feature regions and ridgelet transform (RT). In this scheme, the center view and the depth map are made available at the content provider side. After selecting the reference points of the center view, we construct the feature regions for watermark embedding. Considering the sparse image representation and directional sensitivity of the RT, the watermark bits are embedded into the amplitudes of the ridgelet coefficients of the most energetic direction. The virtual left and virtual right views are generated from the watermarked center view and the associated depth map at the content consumer side. The watermarked view has good perceptual quality under both the objective and subjective image quality evaluations. The embedded watermark can be detected blindly with low bit error rate (BER) from the watermarked center view, the synthesized left and right views even when the views are distorted and distributed separately. The experimental results demonstrate that the proposed scheme exhibits good performance in terms of robustness against various image processing attacks. Meanwhile, our method can be robust to common DIBR processing, such as depth image variation, baseline distance adjustment and different rendering conditions. Furthermore, compared with other related and state-of-the-art methods, the proposed algorithm shows higher accuracy in watermark extraction.     

基于小波和脊波变换的探地雷达信号杂波抑制

针对如何有效去除探地雷达信号的干扰噪声问题,提出了一种基于小波和脊波变换的杂波抑制方法。小波能有效地描述图像的点奇异性,而脊波能有效地描述图像的线奇异性。首先结合小波和脊波的特点,对探地雷达回波信号进行自适应阈值去噪,然后利用脊波的方向敏感性在脊波域去除直达波信号,最终通过处理实际探底雷达数据,验证算法的有效性。     

The finite ridgelet transform for image representation

The ridgelet transform was introduced as a sparse expansion for functions on continuous spaces that are smooth away from discontinuities along lines. We propose an orthonormal version of the ridgelet transform for discrete and finite-size images. Our construction uses the finite Radon transform (FRAT) as a building block. To overcome the periodization effect of a finite transform, we introduce a novel ordering of the FRAT coefficients. We also analyze the FRAT as a frame operator and derive the exact frame bounds. The resulting finite ridgelet transform (FRIT) is invertible, nonredundant and computed via fast algorithms. Furthermore, this construction leads to a family of directional and orthonormal bases for images. Numerical results show that the FRIT is more effective than the wavelet transform in approximating and denoising images with straight edges.     

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.     

基于复合脊波变换的图像去噪

脊波变换是在小波变换的基础上提出的多尺度分析方法,对于图像中直线状和超平面的奇异性问题,脊波变换比小波变换有更好的处理效果。应用数字复合脊波变换去除嵌入在图像中的白噪声,并使用一个简单的复合脊波系数的硬阈值来实现。实验结果表明,这种算法比VisuShrink算法、普通脊波算法和Wiener 2滤波器图像去噪的去噪效果更好,同时复合脊波算法也能应用于图像去噪和模式识别特征提取。     

Curved wavelet transform for image coding.

The conventional two-dimensional wavelet transform used in existing image coders is usually performed through one-dimensional (1-D) filtering in the vertical and horizontal directions, which cannot efficiently represent edges and lines in images. The curved wavelet transform presented in this paper is carried out by applying 1-D filters along curves, rather than being restricted to vertical and horizontal straight lines. The curves are determined based on image content and are usually parallel to edges and lines in the image to be coded. The pixels along these curves can be well represented by a small number of wavelet coefficients. The curved wavelet transform is used to construct a new image coder. The code-stream syntax of the new coder is the same as that of JPEG2000, except that a new marker segment is added to the tile headers. Results of image coding and subjective quality assessment show that the new image coder performs better than, or as well as, JPEG2000. It is particularly efficient for images that contain sharp edges and can provide a PSNR gain of up to 1.67 dB for natural images compared with JPEG2000.     

图像处理的一种有限脊波自适应方法

有限脊波变换方法是脊波变换的一种数字化实现方法,其核心是有限Radon变换的实现.本文针对有限Radon变换中每一斜率投影的排序问题,利用Besov空间光滑模理论,在时域构造了一种光滑性判别函数,以判别函数值最小的序作为最优序,从而给出了一种新的自适应排序算法.用该算法对图像进行压缩和去噪,得到了很好的效果.