基于低秩矩阵分解的批量扫描文档图像纠偏

扫描文档图像纠偏的关键是对图像偏转角度进行快速准确的估计。传统的基于图片自身纹理结构的算法,如Hough变换、Radon变换,不仅易受文档自身特殊结构或噪声影响,而且单幅图像纠偏的平均耗时较长。提出了一种基于低秩矩阵分解理论扫描文档图像的批量纠偏方法,该方法将批量图像构造成一个较大的矩阵,通过迭代对每一列进行适当地旋转,达到矩阵具有较低秩的目的,进而实现对每副图像偏转角度的恰当估计及纠偏。实验结果表明,该方法不仅具有较高纠偏的精度,而且单幅图片的平均耗时也小于现有的图片纠偏算法。     

An evaluation of Radon transform computations using DSP chips

The Radon transform and its inverse (a filtered backprojection) are receiving increasing attention for applications in image reconstruction. As data collection capabilities and image reconstruction algorithms have become more sophisticated, the computational intensity of these problems has drastically increased. Parallel processing techniques are being used to implement highspeed hardware designs that will speed up this computationally burdensome task. Parallel arrays of digital signal processing (DSP) chips may be used to compute the Radon transform and back-projection for high-speed image reconstruction. In this paper we describe computation of the Radon transform and back-projection using a parallel pipelined processor architecture of DSP chips and evaluate the accuracy of the computations and quality of reconstructed images. To justify the computational approach selected, alternative procedures for computation of the Radon transform and back-projection are described and their performance using the 32-bit fixed-point arithmetic of the selected DSP chips are compared. We present, evaluate, and compare the simulated performances of implementations of these procedures on two fixed-point DSP chips: the TI TMS32020 and the AT&T DSP16.     

基于Radon变换的文本图像倾斜校正

归纳现有的多种倾斜字符校正方法,提出一种基于Radon变换用于一般字符校正的方法。该方法对文本图像做简单的数学形态学处理,利用Radon变换求出文本倾斜的角度。实验结果表明：与传统方法相比,本算法减少了计算量,提高了校正效率,且具有较强的适用性和鲁棒性。     

基于广义高斯分布模型的基因芯片图像去噪

基因芯片图像去噪是基因芯片应用过程中一个非常重要的步骤,对于芯片数据处理和信息提取具有重要意义.用广义高斯分布对芯片图像子带的小波系数进行建模,在此基础上运用Bayes Shrink法对图像进行小波去噪.实验结果表明,这种方法能够在有效去除基因芯片图像噪声的同时,很好的保持图像的边缘,与其它几种去噪方法相比,不仅提高了去噪后图像的信噪比(SNR)和均方误差(MSE),而且使图像更加清晰,为芯片数据进一步的分析处理奠定了基础.     

Geometric invariant features in the Radon transform domain for near-duplicate image detection

Radon transform has been widely used in content-based image representation due to its excellent geometric properties. In this paper, we propose a family of geometric invariant features based on Radon transform for near-duplicate image detection. According to the theoretical analysis between geometric operations (translation, scaling, and rotation) and Radon transform, we present a geometric invariant feature model. Based on the feature model, we developed four kinds of geometric invariant features. In addition, a uniform sampling technique is introduced to combine different features. The comprehensive performance of the combined feature is better than that of a single one. Extensive experiments show that the proposed features are robust, not only to rotation and scaling, but also to other operations, such as compression, noise contamination, blurring, illumination modification, cropping, etc., and achieve strong competitive performance compared with the state-of-the-art image features.     

Finger-vein verification based on the curvature in Radon space

Finger-vein verification has drawn increasing attention because it is highly secured and private biometric in practical applications. However, as the imaging environment is affected by many factors, the captured image contains not only the vein pattern but also the noise and irregular shadowing which can decrease the verification accuracy. To address this problem, in this paper, we proposed a new finger-vein extraction approach which detects the valley-like structures using the curvatures in Radon space. Firstly, given a pixel, we obtain eight patches centered on it by rotating a window along eight different orientations and project the resulting patches into Radon space using the Radon transform. Secondly, the vein patches create prominent valleys in Radon space. The vein patterns are enhanced according to the curvature values of the valleys. Finally, the vein network is extracted from the enhancing image by a binarization scheme and matched for personal verification. The experimental results on both contacted and contactless finger-vein databases illustrate that our approach can significantly improve the accuracy of the finger-vein verification system.     

基于EMD-SVD差分谱的DWT域LMMSE自适应信道估计算法

针对当前基于奇异值分解的线性最小均方误差（SVD-LMMSE）法信道估计误差相对较大的问题,提出了一种基于经验模态分解和奇异值分解（EMD-SVD）差分谱的离散小波变换（DWT）域线性最小均方误差（LMMSE）自适应信道估计算法。在对信号进行最小二乘（LS）信道估计及预滤波处理后,运用DWT对信号的高频系数进行阈值量化去噪处理;然后结合基于EMD-SVD差分谱的自适应算法,将强噪声小波系数中微弱的有效信号提取出来,并进行信号的重构;最后根据循环前缀（CP）内、外噪声方差的均值设置相应门限,对循环前缀以内的噪声进行再次处理,从而进一步降低噪声的影响。对算法的误码率（BER）和均方误差（MSE）性能进行实验仿真,实验结果表明：所提算法的整体性能明显优于经典的LS算法、传统的LMMSE算法和目前较为流行的SVD-LMMSE算法,能够较好地降低噪声的影响,并可有效提升信道估计的精确度。     

基于Radon变换的图像识别研究

基于Radon变换提出了一种新的图像识别方法，首先构造了二维图像在Radon变换空间的平移和比例不变量，然后根据变换空间数据的特性，利用奇异值分解得到了旋转不变量并将其用于三类飞机的识别，仿真结果表明该方法具有很好的性能和较高的实用价值。     

基于Radon变换的倾斜车牌图像角度检测与校正

倾斜车牌图像的校正对于后续车牌图像的分割与识别具有很大的影响.本文提出一种基于Radon变换来估计倾斜角度的方法,并对之实行分步校正,最后应用数学形态学的方法对图像进行平滑处理.     

Radon变换修正不变矩在零水印中的应用

提出一种使用修正后的Radon变换不变矩零水印算法.该算法的思想是先计算原始图像的Radon变换不变矩,利用其构建零水印系统;然后用参考图像和测试图像之间的相关系数来修正Radon变换不变矩,最后利用修正后的Ra-don变换不变矩来检测水印.文章的算法在满足Radon变换不变矩具有的所有性能外,能够有效抵抗常规的信号处...     

基于数学形态学的文档图像倾斜校正算法

随着信息采集技术的不断发展,文档图像在信息的数字化管理中越来越重要.对文档图像的倾斜校正进行了研究,给出了基于数学形态学和Hough变换相结合的算法,进行文档图像的倾斜校正,同时将算法应用于印刷体和手写体的文档图像.实验表明该算法可以有效应用于两种文档图像的倾斜校正.     

Radon变换在虹膜去噪中的应用

Radon变换在数学理论上有重要价值,并可用于图像直线特征的提取。本文基于Radon变换的基本原理,针对在虹膜识别中眼睑和睫毛等噪声信息的存在,提出一种运用Radon变换检测直线的方法检测眼睑并将其去除。通过在MATLAB上仿真结果表明,很好的抑制了噪声对虹膜识别的影响,可达到98.86%的识别率,并在保持1.143%较低拒绝率(FRR,false rejec-tion rate)的同时,也使误识率(FAR,false acceptance rate)减小到0%。     

基于Radon变换与功率谱结合的心脏MR图像配准算法

针对心脏磁共振(MR)序列切片图像,设计了一种基于Radon变换和功率谱结合的图像配准算法。首先采用形态学边缘检测等图像预处理技术,提取出图像的边缘特征,并将其作为后续配准的输入;而后利用Radon变换和功率谱相结合的配准方法依次求出待配准图像的缩放、旋转和平移参数,利用这3个配准参数,即可通过配准变换得到配准结果。该方法解决了单纯利用Radon变换求解旋转参数易受图像空域噪声影响的问题,提高了配准的精度,同时大大减少了计算的花费。对100幅MR序列切片图像进行配准的实验表明,该方法能够稳定准确地实现MR序列图像的配准。     

非线性Radon变换及其在人脸识别中的应用

探讨抛物线、双曲线、椭圆3种非线性Radon变换及其性质,分析它们之间的关系,并将所述3种非线性Radon变换应用于人脸识别．通过对这3种非线性Radon变换及其性质研究得出,当抛物线、双曲线及椭圆的形状参数趋于无穷大时,图像抛物线Radon变换与线性Radon变换相等,双曲线Radon变换与椭圆Radon变换相等;同时,非线性Radon变换具有降噪功能和表达图像纹理特征的特点．文中将受噪声污染的人脸图像分别表示为3种非线性Radon变换下的特征矩阵,并结合PCA算法应用于人脸识别．实验结果表明非线性Radon变换在人脸识别中的有效性．     

基于SVD和Radon变换的抗旋转攻击盲水印算法

为了提高传统基于奇异值变换（SVD）的数字水印抗几何攻击能力,提出一种在小波变换域将Radon变换和奇异值变换相结合的抗旋转攻击鲁棒性水印算法。将宿主图像进行小波变换,对变换后的低频子带进行奇异值分解,将经过仿射变换置乱后的二值水印图像嵌入到奇异值中。在水印嵌入操作上采用了奇偶量化嵌入算法从而实现了二值水印图像在水印检测时的盲提取;同时在水印检测之前,利用Radon变换检测算法对待检测图像进行几何校正,然后提取水印信息。实验结果表明,该算法对于噪声感染、滤波、JPEG压缩等常规信号处理的鲁棒性优于传统的基于SVD的数字水印算法,同时对于旋转几何变换具有很好的鲁棒性。     

The generalized Radon transform: Sampling, accuracy and memory considerations

The generalized Radon (or Hough) transform is a well-known tool for detecting parameterized shapes in an image. The Radon transform is a mapping between the image space and a parameter space. The coordinates of a point in the latter correspond to the parameters of a shape in the image. The amplitude at that point corresponds to the amount of evidence for that shape. In this paper we discuss three important aspects of the Radon transform. The first aspect is discretization. Using concepts from sampling theory we derive a set of sampling criteria for the generalized Radon transform. The second aspect is accuracy. For the specific case of the Radon transform for spheres, we examine how well the location of the maxima matches the true parameters. We derive a correction term to reduce the bias in the estimated radii. The third aspect concerns a projection-based algorithm to reduce memory requirements.     

Preprocessing of multi-line structured light image based on Radon transformation and gray-scale transformation

In the process of the structured light detection, it is affected by many factors such as the light source, object to it-self and environmental noise, which result in poor imaging quality. For this reason, the Radon transformation of multi angle is adopted to get the transform domain image, after obtaining the information of the oblique angle of the structured light stripes. After that the singular points unrelated to the target stripes are eliminated in the transform domain image. Then the processed transform domain image is restored and the noise is eliminated. At the same time, the above-mentioned structured light images are pre-processed by several existing means to eliminate noise. Then compared with the traditional methods, the superiority of the Radon transformation in eliminating noise interference is highlighted by using the reliability evaluation scheme to evaluate the quality of the processed images. Finally, aiming at the other shortcomings in the Radon transformed image and further improving the image quality, the restored images are handled by the gray-scale transformation enhancement to enhance the overall gray level of the image. The experimental results show that the imaging quality of the image processed by the above methods is significantly improved.

     

基于Radon和解析Fourier-Mellin变换的尺度与旋转不变目标识别算法

由于正交矩对噪声鲁棒性强、重建效果好,因此被广泛应用于目标识别与分类中,但是正交矩本质上缺乏尺度变换不变性,而且必要的图像二值化与规一化过程会引入重采样与重量化误差。为此,在研究现有正交矩的基础上,提出了一种基于Radon变换和解析Fourier-Mellin变换的尺度与旋转不变的目标识别算法。该算法首先直接对目标灰度图像进行Radon变换,然后对Radon变换结果进行进一步解析,通过Fourier-Mellin变换将原图像的旋转变化转化为相位变化,将原图像的尺度变化转化为幅度变化;最后,通过定义一旋转与尺度不变函数,同时利用不变函数的4种特征,再应用k-近邻法实现分类。理论与实验结果表明,由于避免了正交矩方法存在的重采样与重量化误差,该算法的分类精度高于基于正交矩的分类方法,而且对白噪声的鲁棒性也显著高于基于正交矩的识别与分类方法。     

A fast digital Radon transform—An efficient means for evaluating the Hough transform

A fast digital Radon transform based on recursively defined digital straight lines is described, which has the sequential complexity of N² log N additions for an N × N image. This transform can be used to evaluate the Hough transform to detect straight lines in a digital image. Whilst a parallel implementation of the Hough transform algorithm is difficult because of global memory access requirements, the fast digital Radon transform is vectorizable and therefore well suited for parallel computation. The structure of the fast algorithm is shown to be quite similar to the FFT algorithm for decimation in frequency. It is demonstrated that even for sequential computation the fast Radon transform is an attractive alternative to the classical Hough transform algorithm.     

基于改进Hough变换的文本图像倾斜校正方法

文本图像在扫描输入时产生的倾斜现象会对后续的页面分割及光学字符识别（OCR）处理产生很大的影响，而传统的标准Hough变换虽然具有对噪声不敏感，不依赖于直线连续性的优点，但由于计算量偏大，速度慢，在实用时有较大的局限性。提出一种基于改进的Hough变换的文本图像倾斜校正方法，通过在变分辨率图像中采用不同的文本方向提取算法，及选择合理投票门限等改进Hough变换的措施，减小了由图像区域及文字笔画粗细所产生的对倾角判定的不利影响，并使用基于偏移值的方法实现页面倾斜的快速校正。实验结果表明，该算法实现了大范围高精度的文本图像倾角的快速检测，具有较强的实用性。