Properties of an improved Gabor wavelet transform and its applications to seismic signal processing and interpretation

This paper presents an analytical study of the complete transform of improved Gabor wavelets （IGWs）, and discusses its application to the processing and interpretation of seismic signals. The complete Gabor wavelet transform has the following properties. First, unlike the conventional transform, the improved Gabor wavelet transform （IGWT） maps time domain signals to the time-frequency domain instead of the time-scale domain. Second, the IGW＇s dominant frequency is fixed, so the transform can perform signal frequency division, where the dominant frequency components of the extracted sub-band signal carry essentially the same information as the corresponding components of the original signal, and the sub- band signal bandwidth can be regulated effectively by the transform＇s resolution factor. Third, a time-frequency filter consisting of an IGWT and its inverse transform can accurately locate target areas in the time-frequency field and perform filtering in a given time-frequency range. The complete IGW transform＇s properties are investigated using simulation experiments and test cases, showing positive results for seismic signal processing and interpretation, such as enhancing seismic signal resolution, permitting signal frequency division, and allowing small faults to be identified.

Global motion estimation with Gabor wavelet transform

A novel algorithm of global motion estimation is proposed. First, through Gabor wavelet transform （GWT）, a kind of energy distribution of image is obtained and checkpoints are selected according to a probability decision approach proposed. Then, the initialized motion vectors are obtained via a hierarcbal block-matching based on these checkpoints. Finally, by employing a 3-parameter motion model, precise parameters of global motion are found. From the experiment, the algorithm is reliable and robust.

Nonnegative matrix factorization with Log Gabor wavelets for image representation and classification

Many problems in image representation and classification involve some form of dimensionality reduction. Nonnegative matrix factorization （NMF） is a recently proposed unsupervised procedure for learning spatially localized, partsbased subspace representation of objects. An improvement of the classical NMF by combining with Log-Gabor wavelets to enhance its part-based learning ability is presented. The new method with principal component analysis （PCA） and locally linear embedding （LIE） proposed recently in Science are compared. Finally, the new method to several real world datasets and achieve good performance in representation and classification is applied.

Texture Image Classification Based on Gabor Wavelet

For a texture image, by recognizining the class of every pixel of the image, it can be partitioned into disjoint regions of uniform texture. This paper proposed a texture image classification algorithm based on Gabor wavelet. In this algorithm, characteristic of every image is obtained through every pixel and its neighborhood of this image. And this algorithm can achieve the information transform between different sizes of neighborhood.Experiments on standard Brodatz texture image dataset show that our proposed algorithm can achieve good classification rates.

考虑Gabor小波特征的LBFI识别仿真

识别局部模糊人脸图像时,若不能增强模糊部分的信息,会降低图像识别精度,为提升模糊人脸图像的识别效果,提出基于Gabor小波特征的局部模糊人脸图像识别方法。使用均值滤波方法对图像噪声实施剔除,并根据剔除结果利用直方图均衡化算法对局部模糊实施信息增强处理;以上述图像处理结果为基础,使用Gabor小波变换方法提取图像显著、不显著特征向量,根据决策融合方法对提取的特征实施融合处理;通过LDA分类器对融合特征实施分类处理,基于分类结果实现人脸图像的精准识别。实验结果表明,使用上述方法开展人脸识别时,识别率较高、识别效果好。

基于分区选择和Gabor小波的遮挡人脸识别

局部遮挡人脸识别是人脸识别应用中的一个难点问题.由于遮挡部分对人脸识别没有贡献,因此在进行分类时应排除这些部分.为了解决这一问题,提出一种将分区选择和Gabor小波相结合的遮挡人脸识别方法.首先,将图像分为互不相连的子块,根据图像均方根误差来确定人脸图像中的遮挡区域;其次,利用5尺度8方向的Gabor滤波器对未遮挡分区图像提取特征;然后,用余弦相似度作为纹理分类器对提取的特征进行识别分类;最后,将测试图像中未遮挡分区的识别结果进行决策融合,得到最终分类结果、统计识别正确率等评级指标.在包含不同遮挡的数据集中测试算法性能,识别准确率均达到95%以上.

基于可调因子Gabor小波变换的地震高分辨处理方法

时频分析是利用地震资料识别薄层的重要方法之一,常规的时频分析方法受到固定时窗、窗函数等因素影响。为此,采用一种基于可调因子Gabor小波(Tunable Factor Gabor Wavelet,TFGW)的连续小波变换(Continuous Wavelet Transform,CWT)(简称TFGW-CWT)的时频分析方法对地震资料进行处理。该方法采用具有可调因子的Gabor小波进行变换,然后使用最小绝对值投影方法组合每个可调因子的连续小波系数,降低邻近频率的交叉干扰,提高局部时频分辨率。进一步采用非负矩阵分解(Non-negative Matrix Factorization,NMF)对时频数据体降维,得到一个低秩的特征数据结构关系体,减少了高维空间的数据冗余,凸显了高频信息,达到提高地震资料分辨率的目的。模拟记录和实际资料处理结果证实了该方法的有效性,可为薄层检测提供一种新的技术手段。

GNN-CRC： Discriminative Collaborative Representation-Based Classification via Gabor Wavelet Transformation and Nearest Neighbor

Collaborative representation-based classification(CRC) is a distance based method, and it obtains the original contributions from all samples to solve the sparse representation coefficient. We find out that it helps to enhance the discrimination in classification by integrating other distance based features and/or adding signal preprocessing to the original samples. In this paper, we propose an improved version of the CRC method which uses the Gabor wavelet transformation to preprocess the samples and also adapts the nearest neighbor(NN)features, and hence we call it GNN-CRC. Firstly, Gabor wavelet transformation is applied to minimize the effects from the background in face images and build Gabor features into the input data. Secondly, the distances solved by NN and CRC are fused together to obtain a more discriminative classification. Extensive experiments are conducted to evaluate the proposed method for face recognition with different instantiations. The experimental results illustrate that our method outperforms the naive CRC as well as some other state-of-the-art algorithms.

PERTURBATION OF WAVELET AND GABOR FRAMES

In this work two aspects of theory of frames are presented: a side necessary condition on irregular wavelet frames is obtained, another perturbation of wavelet and Gabor frames is considered. Specifically, we present the results obtained on frame stability when one disturbs the mother of wavelet frame, or the parameter of dilatation, and in Gabor frames when the generating function or the parameter of translation are perturbed. In all cases we work without demanding compactness of the support, neither on the generating function, nor on its Fourier transform.

Face Representation Using Combined Method of Gabor Filters, Wavelet Transformation and DCV and Recognition Using RBF

An efficient face representation is a vital step for a successful face recognition system. Gabor features are known to be effective for face recognition. The Gabor features extracted by Gabor filters have large dimensionality. The feature of wavelet transformation is feature reduction. Hence, the large dimensional Gabor features are reduced by wavelet transformation. The discriminative common vectors are obtained using the within-class scatter matrix method to get a feature representation of face images with enhanced discrimination and are classified using radial basis function network. The proposed system is validated using three face databases such as ORL, The Japanese Female Facial Expression (JAFFE) and Essex Face database. Experimental results show that the proposed method reduces the number of features, minimizes the computational complexity and yielded the better recognition rates.

基于Gabor小波变换和神经网络算法的人脸智能自动识别方法

常规人脸智能识别方法使用Fused-MBConv结构生成智能识别参数,易受输入图像的浅层特征影响,导致人脸识别准确率较低,为此提出基于Gabor小波变换和神经网络算法的人脸智能识别方法。为验证该方法的识别效果,将其与其他人脸智能自动识别方法进行对比。实验结果表明,该方法的识别率较高,具有一定的应用价值。

基于Gabor小波和SSA优化的SVM人脸表情识别研究

针对传统支持向量机网格搜索算法寻优时间长,提出了一种识别率较高而且计算快速的人脸表情识别的方法。首先,使用Gabor小波技术获取人脸表情纹理特征,然后,经主成分分析法降维,得到图像的关键特征,将这些特征输入到经麻雀搜索算法(sparrow search algorithm,SSA)优化的支持向量机(support vector machine,SVM)进行表情的分类。在JAFFE数据集上进行实验识别率可达90.69%,在CK+数据集上识别率可达99.00%,并且在此数据集上和传统的网格搜索算法对比,在寻优的时间上更有优势。

基于Gabor小波的浮选泡沫图像纹理特征提取

矿物浮选泡沫表面纹理是浮选工艺指标高低的重要指示器,为了获取泡沫图像纹理的细微差别进而对浮选生产状态进行机器识别,提出一种基于Gabor滤波的泡沫图像纹理特征提取方法。首先利用Gabor小波提取了泡沫图像多尺度与多方向上的泡沫纹理幅度谱(GMTR)与相位谱(GPTR);然后根据GMTR与GPTR的分布特征,通过估计GMTR的Gamma分布参数和计算GPTR的熵作为泡沫纹理特征参量;最后,利用所提取的泡沫纹理特征对浮选工业生产状态进行无监督的模糊聚类分析与有监督的生产状态识别。实验结果表明,该纹理特征提取方法能有效地获取各种浮选状态下泡沫表面纹理的细微差别,基于该纹理特征参量的浮选状态识别准确率高于90%。

基于改进的Log-Gabor小波的虹膜识别算法

对二维Gabor复小波应用于虹膜识别进行了详细的理论分析,提出了采用二维奇对称Gabor小波代替二维Gabor复小波来提取虹膜纹理特征的改进算法.在此基础上,进一步提出一种采用改进的二维Log-Gabor小波来提取虹膜纹理特征,采用汉明距来进行特征匹配的新方法,克服了二维Gabor复小波应用于虹膜识别的缺陷.与已有算法进行比较的实验数据表明,采用二维奇对称Gabor小波的改进算法在识别率略有提高的基础上,能大大地减少编码存储空间以及编码和匹配的时间.而采用改进的二维Log-Gabor小波算法则进一步的提高了识别率.

基于Gabor小波与Memetic算法的人脸识别方法

提出一种基于Gabor小波与Memetic算法的人脸识别方法MA-Gabor(Memetic Algorithm-Gabor).算法使用一组特定的Gabor小波滤波器对人脸图像重要区域进行针对性的特征提取运算,可在较短处理时间内获得更具区分能力的识别数据.为提升识别性能,MA-Gabor引入Memetic算法用于Gabor小波滤波器组的优化设计.实验结果表明,Memetic算法可获得比传统优化方法更佳的设计效果.通过将优化设计的Gabor小波滤波器组用于人脸图像的特征提取,MA-Gabor算法可取得比现有人脸识别方法更高的识别率.

Log Gabor小波性能分析及其在相位一致性中应用

对Gabor函数与logGabor函数进行比较,构造了logGabor小波.从人类视觉系统认知特性的角度分析了该小波的性能,并与Gabor小波进行了比较,最后将logGabor小波应用在相位一致性的图像特征检测中.实验证明,使用logGabor小波不但可以提高特征的定位精度,而且在检测效果相似的情况下,logGabor小波比Gabor小波可以节约一半的计算量.

基于多尺度2D Gabor小波的视网膜血管自动分割

眼底视网膜血管分割对临床视网膜疾病诊断具有重要意义.由于视网膜血管结构微小,血管轮廓边界模糊,加上图像采集时噪声的影响,视网膜血管分割非常困难.本文提出一种视网膜血管自动分割新方法.首先,应用对比度受限的自适应直方图均衡法增强视网膜图像;然后,采用不同尺度的2D Gabor小波对视网膜图像进行变换,并分别应用形态学重构(Morphological reconstruction,MR)和区域生长法(Region growing,RG)对变换后的图像进行分割;最后,对以上两种方法分割的视网膜血管和背景像素点重新标记识别,得到视网膜血管最终分割结果.通过对DRIVE和STARE数据库视网膜图像的分割实验,证明了该算法的有效性.

基于Gabor小波和颜色矩的棉花盲椿象分类方法

为了提高棉花盲椿象测报精度,提出了一种在自然环境下基于Gabor小波和颜色矩的棉花盲椿象自动分类方法。该方法以5种棉花盲椿象为研究对象,利用Gabor小波和颜色矩分别提取盲椿象图像的纹理和颜色特征,并结合主成分分析和支持向量机,实现了棉花盲椿象的分类。通过特征提取与优化试验发现,利用主成分变换得到的第1主成分、第2主成分和第3主成分分量累计贡献率为87.3%,且聚类效果较好;通过棉花盲椿象分类试验得出,经过主成分分析与径向基核函数支持向量机相结合的棉花盲椿象分类效果最好,其训练时间为89 ms,分类正确率达91%。该方法能准确对棉花盲椿象进行分类与识别。

log Gabor函数在人类视觉系统特性研究中的应用

本文对Gabor函数与log Gabor函数进行比较。构造了log Gabor小波,从人类视觉系统认知特性的角度分析了log Gabor小波的性能,并与Gabor小波进行比较,讨论了log Gabor小波的优良性能。最后将log Gabor小波应用于图像特征检测,证明用log Gabor小波不但可以提高特征定位精度,而且在相同检测效果的情况下,可以比Gabor小波节省大约一半的计算量。

基于二维Gabor小波的人脸识别算法

该文提出了一种基于二维Gabor小波的人脸识别算法。该算法先对人脸图像进行多分辨率的Gabor小波变换,然后在图像上放置一组网格结点,每个结点用该结点处的多尺度Gabor幅度特征描述,采用主元分析法对每个结点进行去相关、降维,最后形成特征结。把每个特征结作为观测向量,对隐马尔可夫模型进行训练,并把优化的模型参数用于人脸识别。实验结果表明,该方法识别率高,复杂度较低。