Quantization-Based Robust Image Watermarking Using the Dual Tree Complex Wavelet Transform

Conventional quantization index modulation (QIM) watermarking uses the fixed quantization step size for the host signal.This scheme is not robust against geometric distortions and may lead to poor fidelity in some areas of content.Thus,we proposed a quantization-based image watermarking in the dual tree complex wavelet domain.We took advantages of the dual tree complex wavelets (perfect reconstruction,approximate shift invariance,and directional selectivity).For the case of watermark detecting,the probability of false alarm and probability of false negative were exploited and verified by simulation.Experimental results demonstrate that the proposed method is robust against JPEG compression,additive white Gaussian noise (AWGN),and some kinds of geometric attacks such as scaling,rotation,etc.

Seismic signal analysis based on the dual-tree complex wavelet packet transform

We tried to apply the dual-tree complex wavelet packet transform in seismic signal analysis. The complex wavelet packet transform (CWPT) combine the merits of real wavelet packet transform with that of complex continuous wavelet transform (CCWT). It can not only pick up the phase information of signal, but also produce better ″focal- izing″ function if it matches the phase spectrum of signals analyzed. We here described the dual-tree CWPT algo- rithm, and gave the examples of simulation and actual seismic signals analysis. As shown by our results, the dual-tree CWPT is a very effective method in analyzing seismic signals with non-linear phase.

Image inpainting using complex 2-D dual-tree wavelet transform

The dual-tree complex wavelet transform is a useful tool in signal and image process- ing. In this paper, we propose a dual-tree complex wavelet transform （CWT） based algorithm for image inpalnting problem. Our approach is based on Cai, Chan, Shen and Shen＇s framelet-based algorithm. The complex wavelet transform outperforms the standard real wavelet transform in the sense of shift-invariance, directionality and anti-aliasing. Numerical results illustrate the good performance of our algorithm.

Defects Recognition of 3D Braided Composite Based on Dual-Tree Complex Wavelet Packet Transform

Textile-reinforced composites,due to their excellent highstrength-to-low-mass ratio, provide promising alternatives to conventional structural materials in many high-tech sectors. 3D braided composites are a kind of advanced composites reinforced with 3D braided fabrics; the complex nature of 3D braided composites makes the evaluation of the quality of the product very difficult. In this investigation,a defect recognition platform for 3D braided composites evaluation was constructed based on dual-tree complex wavelet packet transform( DT-CWPT) and backpropagation( BP) neural networks. The defects in 3D braided composite materials were probed and detected by an ultrasonic sensing system. DT-CWPT method was used to analyze the ultrasonic scanning pulse signals,and the feature vectors of these signals were extracted into the BP neural networks as samples. The type of defects was identified and recognized with the characteristic ultrasonic wave spectra. The position of defects for the test samples can be determined at the same time. This method would have great potential to evaluate the quality of 3D braided composites.

A New Construction Method for the Dual Tree Complex Wavelet Based on Direction Sensitivity

The conception of 'main direction' of multi-dimensional wavelet is established in this paper, and the capabilities of several classical complex wavelets for representing directional singularities are investigated based on their main directions. It is proved to be impossible to represent directional singularities optimally by a multi-resolution analysis (MRA) of L2(R2). Based on the above results, a new algorithm to construct Q-shift dual tree complex wavelet is proposed. By optimizing the main direction of parameterized wavelet filters, the difficulty in choosing stop-band frequency is overcome and the performances of the designed wavelet are improved too. Furthermore, results of image enhancement by various multi-scale methods are given, which show that the new designed Q-shift complex wavelet do offer significant improvement over the conventionally used wavelets. Direction sensitivity is an important index to the performance of 2D wavelets.

A Dual Tree Complex Discrete Cosine Harmonic Wavelet Transform (ADCHWT) and Its Application to Signal/Image Denoising

A new simple and efficient dual tree analytic wavelet transform based on Discrete Cosine Harmonic Wavelet Transform DCHWT (ADCHWT) has been proposed and is applied for signal and image denoising. The analytic DCHWT has been realized by applying DCHWT to the original signal and its Hilbert transform. The shift invariance and the envelope extraction properties of the ADCHWT have been found to be very effective in denoising speech and image signals, compared to that of DCHWT.

Recognition of Group Activities Using Complex Wavelet Domain Based Cayley-Klein Metric Learning

A group activity recognition algorithm is proposed to improve the recognition accuracy in video surveillance by using complex wavelet domain based Cayley-Klein metric learning.Non-sampled dual-tree complex wavelet packet transform(NS-DTCWPT)is used to decompose the human images in videos into multi-scale and multi-resolution.An improved local binary pattern(ILBP)and an inner-distance shape context(IDSC)combined with bag-of-words model is adopted to extract the decomposed high and low frequency coefficient features.The extracted coefficient features of the training samples are used to optimize Cayley-Klein metric matrix by solving a nonlinear optimization problem.The group activities in videos are recognized by using the method of feature extraction and Cayley-Klein metric learning.Experimental results on behave video set,group activity video set,and self-built video set show that the proposed algorithm has higher recognition accuracy than the existing algorithms.

Tracking of Non-Rigid Object in Complex Wavelet Domain

In this paper we have proposed an object tracking method using Dual Tree Complex Wavelet Transform (DTCxWT). The proposed method is capable of tracking the moving object in video sequences. The object is assumed to be deform-able under limit i.e. it may change its shape from one frame to another. The basic idea in the proposed method is to decompose the image into two components: a two dimensional motion and a two dimensional shape change. The motion component is factored out while the shape is explicitly represented by storing a sequence of two dimensional models. Each model corresponds to each image frame. The proposed method performs well when the change in the shape in the consecutive frames is small however the 2-D motion in consecutive frames may be large. The proposed algorithm is capable of handling the partial as well as full occlusion of the object.

NEW METHOD OF EXTRACTING WEAK FAILURE INFORMATION IN GEARBOX BY COMPLEX WAVELET DENOISING

Because the extract of the weak failure information is always the difficulty and focus of fault detection. Aiming for specific statistical properties of complex wavelet coefficients of gearbox vibration signals, a new signal-denoising method which uses local adaptive algorithm based on dual-tree complex wavelet transform （DT-CWT） is introduced to extract weak failure information in gear, especially to extract impulse components. By taking into account the non-Gaussian probability distribution and the statistical dependencies among wavelet coefficients of some signals, and by taking the advantage of near shift-invariance of DT-CWT, the higher signal-to-noise ratio （SNR） than common wavelet denoising methods can be obtained. Experiments of extracting periodic impulses in gearbox vibration signals indicate that the method can extract incipient fault feature and hidden information from heavy noise, and it has an excellent effect on identifying weak feature signals in gearbox vibration signals.

基于DTCWT-VAE的弹道中段目标RCS识别

针对弹道目标雷达信号易受环境影响、目标识别准确率低的问题,提出了一种基于双树复小波变换(dual-tree complex wavelet transform,DTCWT)和变分自编码器(variational autoencoder,VAE)的弹道目标雷达散射截面(radar cross section,RCS)识别法。首先,采用DTCWT对弹道目标RCS动态数据进行预处理,再利用VAE提取目标的隐变量特征,最后用支持向量机(support vector machine,SVM)分类器进行识别。实验结果表明,与已有方法相比,该方法具有更高的识别概率,且鲁棒性较好。

基于DTCW-ERE的小电流接地系统故障选线

小电流接地系统发生单相接地故障时,各馈线的小波能量分布各不相同。本文提出了一种基于故障线路小波综合能量相对熵的选线新方法。双树复小波变换(DTCWT)具有很好的近似平移不变性和抗混叠性;能量相对熵(ERE)具有对信号间细微差别进行识别的超强能力。结合双树复小波变换与能量相对熵的优点,根据故障线路综合小波能量相对熵最大的原则进行选线,能够使故障选线更直观、快速有效。仿真结果表明,该方法可以准确有效的进行配电网故障选线。

基于DT-CWT的红外与可见光图像自适应融合

针对低可见光图像和红外图像的特点,提出一种基于DT-CWT的自适应图像融合算法.该算法具有好的平移不变性和方向选择性,更适合于人类视觉.先对源图像作双树复小波变换,充分考虑各尺度分解层的系数特征,对低通子带引入免疫克隆选择,根据统计评价准则定义亲和度函数,自适应获得最优融合权值;对高通子带则根据人类视觉特性定义局部方向对比度,并作为融合准则,突出和增强了各源图像的对比度与细节信息.实验结果表明:与基于小波的融合结果相比较,本文的融合算法自适应性和鲁棒性更强,较好地保护和显示了源图像中的边缘和细节信息,对比度和清晰度都有所提高.

基于DT-CWT和SVM的纹理分类算法

提出了一种基于双树复数小波变换(DT-CWT)和支持向量机(SVM)的纹理分类算法。双树复数小波变换不仅具有实数小波的诸多优点,而且还具有近似平移不变性、良好的方向选择性和低冗余度,并且能对图像进行完全重构,能够更好地刻画纹理的特性;支持向量机算法是近年发展起来的性能优越的分类算法,比传统分类器有很大的优越性:避免了局部最优解和“维数灾”问题,其最优分类超平面的思想能够提高分类准确度。该方法用双树复数小波对纹理图像进行滤波并在各方向子带上进行重构,再计算其局部能量函数得到每个像素的特征向量,最后利用支持向量机算法实现对纹理图像像素的分类。将本方法与其它的分类算法进行比较,实验结果表明,提出的算法能有效地提高正确分类率。

基于DT-CWT和LS-SVM的苹果果梗/花萼和缺陷识别

该文提出了一种基于双树复小波变换(DT-CWT)和最小二乘支持向量机(LS-SVM)区分苹果的果梗/花萼和缺陷的方法。对苹果图像使用DT-CWT分解,使用变换后得到的高频子带系数的均值和方差构造特征向量,然后使用最小支持二乘向量机作为分类器进行分类。对180幅苹果图像进行了试验。讨论了DT-CWT分解层数以及目标图像大小对分类正确率的影响。试验结果显示,使用3层DT-CWT对大小为64×64子图像进行小波分解提取纹理特征,能达到最好的分类效果,分类正确率可以达到95.6%。

应用双树复小波包和NCA-LSSVM检测磁瓦内部缺陷

提出结合双树复小波包变换(DTCWPT)、邻域成分分析法(NCA)、最小二乘支持向量机(LSSVM)的磁瓦内部缺陷检测方法.通过双树复小波包将采集的声音信号分解为6层,得到64个不同频带的子信号;求取特定频带信号的能量、偏度、峭度、模糊熵,并将能量、偏度、峭度、模糊熵作为分类特征;利用邻域成分分析法对分类特征降维;将降维构造的新特征集输入到最小二乘支持向量机,判断磁瓦是否含有内部缺陷.通过实验验证,对提出的检测方法进行可行性分析.3种不同类型磁瓦的内部缺陷识别率均可以达到99%,与以往双谱切片方法相比,提高了检测识别率.试验结果表明,提出的方法具有检测速度快、可靠性高、适应性强等特点,为高效、准确地进行磁瓦内部缺陷检测提供了有效的技术手段.

基于DT-CWT和MCKD的滚动轴承早期故障诊断方法

滚动轴承早期故障信号具有非平稳、能量低等特征,为了能够准确、有效地检测出轴承故障,提出了双树复小波(dual-tree complex wavelet transform,DTCWT)和最大相关峭度反褶积(maximum correlated kurtosis deconvolution,MCKD)相结合的诊断方法。首先运用双树复小波对采集到的振动信号进行分解,再重构单支信号,由于噪声的干扰,从重构后分量的频谱中很难对故障做出正确的判断。然后对包含故障特征的分量进行最大相关峭度反褶积处理以消除噪声成分,凸现故障特征信息。最后对降噪信号求取Hilbert包络谱,便能准确获得故障特征频率。通过信号仿真和实验数据分析验证了该方法的有效性。

SVM和DT-CWT的纹理图像分类方法研究

提出了一种将支持向量机(SVM)和二元树复小波变换(DT-CWT)相结合的纹理图像分类方法.通过DT-CWT对纹理图像进行4层分解,提取各子频带小波系数模的均值和标准方差组成特征向量,利用SVM作为分类器实现纹理图像分类.从Brodatz图像库中随机选取了30幅纹理图像进行了分类试验,结果表明:该方法具有较高的分类精度,尤其在有限训练样本的情况下分类正确率明显优于其它的分类算法,体现了该方法的有效性和良好的泛化能力.

基于DTCWPT和t-SNE的去噪方法及在故障诊断中的应用

为了提取被强噪声淹没的机械设备振动信号中蕴含的微弱故障特征,依据有用信号和噪声在空间分布特性的不同,将流形学习的方法引入到信号降噪中,提出一种将双树复小波包(DTCWPT)和t分布随机近邻嵌入(t-SNE)结合的去噪方法,充分利用了DTCWPT分解的多尺度特性以及t-SNE的非线性降维能力。将振动信号进行双树复小波包分解,依据各尺度小波包系数Shannon熵值搜索最佳小波包基,利用提出的新的阈值函数,对最佳小波包基的小波包系数进行去噪并单支重构组成高维信号空间,然后,采用t-SNE提取高维空间的低维流形,对低维信号序列进一步采用阈值去噪,利用谱回归分析重构回一维信号序列。最后,通过对仿真信号与滚动轴承振动信号进行去噪,结果证实了方法具有良好的非线性去噪性能,将仿真信号的信噪比从-1提高到8.6 d B,并且能更有效的提取强噪声干扰下滚动轴承的故障特征频率。

基于DT-CWT自适应Teager能量谱的轴承早期故障诊断

针对滚动轴承早期故障特征信息难以识别以及带通滤波器参数设置依赖使用者经验等造成共振带不能有效确定并自适应提取的问题,提出了频带幅值熵的概念。在此基础上,将双树复小波变换和Teager能量谱结合,提出了基于双树复小波自适应Teager能量谱的早期故障诊断方法。首先,利用双树复小波将采集到的振动信号分解为不同频带的子信号,并计算各子带的频带幅值熵;然后,将熵值按升序排列后依次作为阈值,提取频带幅值熵大于阈值的子带,依据峭度指标确定最佳阈值,从而自适应并且有效地提取出共振带;最后,对共振带进行Teager能量谱分析,即可从中准确地识别出轴承的故障特征频率。通过信号仿真与实验数据分析验证了该方法的有效性。