Rotation invariant analysis and orientation estimation method for texture classification based on Radon transform and correlation analysis

Some recent rotation invariant texture analysis approaches such as multiresolution approaches yield high correct classification percentages, but present insufficient noise tolerance. This paper describes a new method for rotation invariant texture analysis. In the proposed method, Radon transform is utilized to project a texture image onto projection space to convert a rotation of the original texture image to a translation of the projection in the angle variable, and then Radon projection correlation distance is introduced. A k-nearest neighbors’ classifier with Radon projection correlation distances is employed to implement texture classification and orientation estimation. Theoretical and experimental results show the high classification accuracy of this approach as a result of using the Radon projection correlation distance instead of repetitious usage of discrete transforms. It is also shown that the proposed method presents high noise tolerance and yields high accuracy in orientation estimation in comparison with Khouzani’s method.     

Wavelet based robust sub-band features for phoneme recognition

Wavelet transform has been found to be an effective tool for the time-frequency analysis of non-stationary and quasi-stationary signals. Recent years have seen wavelet transform being used for feature extraction in speech recognition applications. In the paper a sub-band feature extraction technique based on an admissible wavelet transform is proposed and the features are modified to make them robust to additive white Gaussian noise. The performance of this system is compared with the conventional mel frequency cepstral coefficients (MFCC) under various signal to noise ratios. The recognition performance based on the eight sub-band features is found to be superior under the noisy conditions compared with MFCC features.     

Subband-dependent compressed sensing in local CT reconstruction

To achieve high-quality low-dose computed tomography (CT) images, compressed sensing (CS)-based CT reconstructions recover the images using fewer projections; and wavelet inverse Radon algorithms recover wavelet subbands of CT images from locally scanned projections. Moreover, it has been shown that subband CS algorithms accelerate the convergence of the CS recovery methods. Here, we propose an innovative combination of a newly developed accelerated wavelet inverse Radon transform and non-convex CS formulation to recover the wavelet subbands of CT images from a reduced number of locally scanned X-ray projections. Fast pseudo-polar Fourier transform is used to decrease the computational complexity of CS recovery. Therefore, the proposed method, denoted by AWiR-SISTA, reduces the radiation dose by simultaneously decreasing the X-ray exposure area and the number of projections, decreases the CS computational complexity, and accelerates the CS recovery convergence rate. Phantom-based simulations show that high-quality ultra-low-dose local CT images can be reconstructed using the proposed method in few seconds, without numerical optimization. Clinical chest CT images are used to demonstrate the practical potential of the method.     

基于Radon和解析Fourier-Mellin变换的篡改图像盲检测算法

复制粘贴（Copy-Move）是一种极为常见的图像篡改方式。为了快速有效地检测图像经过旋转、缩放等操作后的篡改图像,本文提出了一种基于Radon和解析Fourier-Mellin变换的篡改图像盲检测方法。文章首先对图像进行分块,之后将图像块进行Radon和解析Fourier-Mellin变换,并提取计算变换结果后的矩特征值,最后计算矩特征值的相关性。本文算法不需要对灰度图像进行二值化与归一化处理,而是直接从图形的Radon变换与Fourier-Mellin变换的结果中提取不变特征,理论分析与实验结果表明,本文提出算法的检测结果优于基于正交矩的检测方法,而且对均值为0的白噪声的鲁棒性显著高于基于正交矩的检测方法。      

基于小波域和活动轮廓模型的纹理图像分割

提出一种双树复小波域局部二值模式和活动轮廓模型的纹理图像分割方法.该方法首先使用双树复合小波分解纹理图像,然后使用局部二值模式提取纹理特征.利用最大熵准则对纹理特征图像进行选择,活动轮廓模型用于最后的分割.实验结果表明提出的方法对于合成纹理和自然场景数据集,达到了较高的分割精度.     

一种基于斑点抑制的SAR图像舰船航迹检测算法

该文分析了合成孔径雷达(SAR)图像中舰船航迹的特性和斑点噪声模型及其局部统计特性。在此基础上,提出了一种先基于小波变换进行斑点噪声抑制,再基于Radon变换进行航迹检测的方法。对数据处理的结果表明,该方法较直接对SAR图像应用Radon变换能更有效、准确地检测到SAR图像中的舰船航迹。     

一种基于投影的小波矩及其在图像识别中的应用

该文提出了一种基于图像投影的小波不变量算法。首先将图像投影到一维空间,然后引入一种平移和比例不变自适应一维小波变换,利用该变换获得图像的平移和比例不变特征。由于图像的旋转导致特征矩阵发生行之间的循环平移,该文利用奇异值分解进行研究,得到的奇异值向量具有图像的3个不变性。实验分析表明,本文方法具有较好的图像识别效果。     

Texture analysis and classification with linear regression model based on wavelet transform.

The wavelet transform as an important multiresolution analysis tool has already been commonly applied to texture analysis and classification. Nevertheless, it ignores the structural information while capturing the spectral information of the texture image at different scales. In this paper, we propose a texture analysis and classification approach with the linear regression model based on the wavelet transform. This method is motivated by the observation that there exists a distinctive correlation between the sample images, belonging to the same kind of texture, at different frequency regions obtained by 2-D wavelet packet transform. Experimentally, it was observed that this correlation varies from texture to texture. The linear regression model is employed to analyze this correlation and extract texture features that characterize the samples. Therefore, our method considers not only the frequency regions but also the correlation between these regions. In contrast, the pyramid-structured wavelet transform (PSWT) and the tree-structured wavelet transform (TSWT) do not consider the correlation between different frequency regions. Experiments show that our method significantly improves the texture classification rate in comparison with the multiresolution methods, including PSWT, TSWT, the Gabor transform, and some recently proposed methods derived from these.     

复杂光照条件下的多姿状鲁棒性人脸识别方法

为改善复杂光照条件下的多姿状鲁棒性人脸识别的效果,提出了小波变换与LBP的多姿状鲁棒性人脸识别方法。通过二维离散小波变换对人脸图像进行二级小波分解提取到低频特征信息分量,并以重构初始图像的方式实现降噪滤波处理,滤除低频光照分量后完成复杂光照补偿;继续分解复杂光照补偿后的图像,采用LBP算子对子图像的鲁棒性部分纹理特征进行描述后,提取出人脸图像各子图像的直方图特征并连接,得到人脸LBP纹理特征,通过统计法运算该特征距离,并通过K近邻分类器实现人脸特征分类识别。以Yale-B与AR人脸库为测试对象,结果表明,所研究方法对复杂光照鲁棒性较强,识别人脸的准确率与效率较高,整体识别效果较好。     

一种从SAR海洋图像中检测舰船航迹的算法

分析了合成孔径雷达 (SAR)图像中舰船航迹的特性和斑点噪声模型及其局部统计特性 ,在此基础上 ,提出了一种结合小波多分辨率分析、自适应阈值选择、边缘检测算子和Radon变换进行斑点噪声抑制和航迹检测的算法。数据处理的结果表明 ,该方法较直接对SAR图像应用Radon变换更有效、准确地检测到SAR图像中的舰船航迹     

基于稀疏优化的图像压缩感知重建算法

在信号的稀疏表示方法中,传统的基于变换基的稀疏逼近不能自适应性地提取图像的纹理特征,而基于过完备字典的稀疏逼近算法复杂度过高.针对该问题,文章提出了一种基于小波变换稀疏字典优化的图像稀疏表示方法.该算法在图像小波变换的基础上构建图像过完备字典,利用同一场景图像的小波变换在纹理上具有内部和外部相似的属性,对过完备字典进行灰色关联度的分类,有效提高了图像表示的稀疏性.将该新算法应用于图像信号进行稀疏表示,以及基于压缩感知理论的图像采样和重建实验,结果表明新算法总体上提升了重建图像的峰值信噪比与结构相似度,并能有效缩短图像重建时间.     

小波滤波分解层数的自适应确定方法

针对加性高斯白噪声,根据信号和噪声在小波空间上传播的特性,提出了一种基于Kolmogorov-Smirnov检验的最优分解层数自适应确定算法,对于不同数据长度的信号,可以自适应地选择小波变换的最优分解层数。仿真实验表明,该方法可以得到最优的信噪比及最小均方误差,并且对小波分解边界延拓方式的选择具有较强的适应性。     

基于金字塔分解和扇形局部均值二值模式的鲁棒纹理分类方法

针对传统局部二值模式(LBP)的特征鉴别力有限和噪声敏感性问题,该文提出一种基于金字塔分解和扇形局部均值二值模式的纹理特征提取方法。首先,将原始图像进行金字塔分解,得到对应于不同分解级别的低频和高频(差分)图像。为提取兼具鉴别力和稳健性的特征,进一步采用阈值化处理技术将高频图像转化为正、负高频图。然后,基于局部均值操作提出一种扇形局部均值二值模式(SLMBP),用于计算各级分解图像的纹理特征码。最后,对纹理特征码进行跨频带的联合编码和跨级别的直方图加权,从而获得最终的纹理特征。在公开的3个纹理数据库(Outex, Brodatz和UIUC)上进行分类实验,结果表明该文所提方法能够有效地提高纹理图像在无噪声环境和含高斯噪声环境下的分类精度。     

仿射不变的中心投影

 考虑将区域和轮廓类不变特征提取算法结合:利用中心投影将目标转化为闭曲线,对闭曲线运用轮廓类方法提取不变特征.证明了图像经中心投影所得闭曲线保持仿射变换的结论.介绍了一种利用小波变换进行仿射不变特征提取的算法.对一些汉字、26个大写英文字母等的实验结果表明结论的有效性,与传统方法相比该算法对噪声具有较强的鲁棒性.     

Hybrid picture coding with wavelet transform and overlappedmotion-compensated interframe prediction coding

A novel video coding scheme using an orthonormal wavelet transform is proposed. The wavelet transform is used in a motion compensated interframe coder in which a blockless motion compensation technique is employed to increase efficiency of wavelet transform coding. A new scanning method for wavelet coefficients is also proposed which is rather different from subband coding. Simulation work is carried out to evaluate the proposed coding method. Significant improvement in subjective quality is obtained over that obtained with conventional hybrid coding methods that use blockwise motion compensation and DCT. Some improvement has also been realized in the signal to noise ratio. Although wavelet coding is still in its early stages of development, it appears to hold great promise for motion picture coding     

基于小波变换和规范型纹理描述子的人耳识别

 在带有角度的人耳图像上提取有效特征一直是人耳识别的难点.本文提出一种基于Haar小波变换和规范型纹理描述子的人耳识别方法,即先对人耳图像进行Haar小波变换,然后利用更加合理的规范型纹理描述子,同时结合分块与多分辨率思想,共同描述经Haar小波变换后人耳子图像的纹理特征,最后用最近邻分类器进行分类识别.实验结果表明,Haar小波变换可以有效增强图像纹理基元的有效信息;利用规范型纹理描述子提取特征不仅速度快,而且具有很强的鲁棒性,尤其与分块、多分辨率方法相结合时,效果更为显著,明显优于经典的PCA和KPCA方法.     

局部高斯尺度混合模型的傅里叶-小波图像降噪

提出了一种基于局部高斯尺度混合统计模型的傅里叶-小波图像降噪方法.所提出的降噪方法综合了两者的优点,考虑到噪声小波系数间的相关性,小波系数统计特性通过局部高斯尺度混合统计模型来刻画.实验结果表明,此法可有效去除噪声,并且能够克服传统的小波去噪效果与选用的小波基函数相关的局限性,和其他方法相比,无论从视觉上还是峰值信噪比上比较,此方法降噪效果明显较好.     

基于线奇异性的路面裂纹检测方法

提出一种基于ridgelet变换的线性特征检测方法，用于提取在复杂背景下高速路面的线性裂纹，克服了小波变换只能处理点奇异性的局限性。利用Radon变换与一维小波变换相结合的算法实现ridgelet变换，提出了Radon变换重建原图像的基本条件。应用于实际的路面数据检测，结合默认阈值为27．9395的方法去除噪声，结果表明，ridgelet变换在提取直线性裂纹及抑制点噪声方面优于经典小波变换的处理效果，其分辨率达到2mm精度。     

一种红外图像对比度增强的小波变换法

提出一种基于离散平稳小波变换和非线性增益的红外图像对比度增强方法．对红外图像进行离散平稳小波变换后,对分辨率较好的各高频子带直接利用所提出的去噪方法去噪;对分辨率较差的各高频子带利用所提出的非线性增益法结合文中的去噪法进行增强;并给出一种评价增强图象质量的准则．实验结果表明,本文提出的方法在有效的增强红外图像对比度的同时,又能很好的抑制红外图像中相关噪声、加性高斯白噪声和乘性噪声．     

Wavelet methods for inverting the Radon transform with noisy data

Because the Radon transform is a smoothing transform, any noise in the Radon data becomes magnified when the inverse Radon transform is applied. Among the methods used to deal with this problem is the wavelet-vaguelette decomposition (WVD) coupled with wavelet shrinkage, as introduced by Donoho (1995). We extend several results of Donoho and others here. First, we introduce a new sufficient condition on wavelets to generate a WVD. For a general homogeneous operator, whose class includes the Radon transform, we show that a variant of Donoho's method for solving inverse problems can be derived as the exact minimizer of a variational problem that uses a Besov norm as the smoothing functional. We give a new proof of the rate of convergence of wavelet shrinkage that allows us to estimate rather sharply the best shrinkage parameter needed to recover an image from noise-corrupted data. We conduct tomographic reconstruction computations that support the hypothesis that near-optimal shrinkage parameters can be derived if one can estimate only two Besov-space parameters about an image f. Both theoretical and experimental results indicate that our choice of shrinkage parameters yields uniformly better results than Kolaczyk's (1996) variant of Donoho's method and the classical filtered backprojection method.