基于Zernike矩和拼贴误差的布料图案检索算法

为提高纺织品企业检索布料图案的效率,提出了一种基于Zernike矩和拼贴误差的布料图案检索算法(ZMCE)。首先,通过计算选取最佳匹配时的分形参数和Zernike矩;其次,根据值域块与最佳匹配的定义域块之间的相似性度量计算拼贴误差;最后,将Zernike矩和拼贴误差作为布料图案检索的特征量进行特征提取。实验结果表明,ZMCE算法的平均查准率、平均查全率和单张图案的检索时间分为88.6%、53.4%和0.207 s,显著优于基本分形算法(BFC)、单一拼贴误差算法(SCE)和联合正交化分形参数和改进Hu不变矩算法(OFH),此外,ZMCE算法的平均查准率和查全率还优于文献[4]中的算法。因此,ZMCE算法在纺织品行业布料图案检索方面具有良好的应用价值。

基于Zernike矩和FCM的管道内两相流流型识别

利用图像处理技术对传动管道两相流流型进行了识别。搭建了传动管道气液两相流实验系统。采用高速摄像机拍摄液压传动管路中气液两相流流型图像,利用图像处理技术获得图像的Zernike矩特征参数,然后结合模糊C均值聚类算法(FCM)对流型图像进行分类识别。研究结果显示,液压管路内的传动液为气液两相流,其流型为泡状流、环状流、弹状流、塞状流;在传动过程中,出现频率较高的流型是泡状流和塞状流;利用本方法对传动系统液压传动管路中的4种典型流型进行分类识别,总体识别率可达97%。本方法为管道中气液两相流的流型参数识别提供了新的途径。

小波变换下基于分形编码和Zernike矩的织物图像检索算法

为帮助纺织企业的工作人员快速、准确地从数据库中检索出与织物图像相同或相似的图像,提出了一种小波变换下基于分形编码和Zernike矩的织物图像检索算法。首先,利用小波变换获得低频分量,对变换后的低频子图进行分形编码,得到编码参数。然后,计算低频子图像的Zernike矩。将小波变换下的分形编码参数和Zernike矩相结合作为织物图像检索的特征量。相比于单特征检索方法,该算法克服了精度低、耗时长的问题。与基本分形算法(BFIC)、联合正交分形参数和改进的Hu不变矩算法(HVKF)以及稀疏分形图像压缩算法(SFIC)相比,该算法确保了重建图像的质量和较低的编码时间。实验结果表明,织物图像检索的平均精度和平均召回率均高于现有的检索方法。

基于3D Zernike矩的快速地形匹配算法

针对当前基于3D Zernike矩的地形匹配算法存在计算量大、实时性差的问题,通过分析3D Zernike矩的计算过程和构成地形特征向量的奇偶阶描述子的性能,提出了适用于地形匹配的3D Zernike矩快速计算方法和只使用奇数阶描述子构成特征向量的匹配方式.仿真实验表明:本文所提快速算法不仅能大幅降低计算量,还提高了匹配精度.

基于改进Zernike矩的远场激光高精度中心测量

针对远场激光光斑分布不均匀、形状不规则的特性,提出一种基于改进的Zernike矩的远场激光高精度中心测量方法。在传统Zernike矩亚像素边缘检测基础上,使用新型的logistic边缘检测模型和阶跃阈值自适应提取方法,在减少人工对阶跃阈值误判的同时,提高对实际边缘的识别精度,最后使用最小二乘法椭圆拟合得到高精度激光光斑中心。该方法在远场激光中心检测中,单帧误差在0.5 pixel左右,连续多帧中心偏差波动在1 pixel以内,拥有较高的精度和可靠的稳定性。

改进Zernike矩的亚像素圆孔类零件测量方法

为了提高圆孔类零件半径尺寸的测量精度,提出一种改进的Zernike矩亚像素圆孔类零件测量方法。首先对传统Canny算子进行改进,分别在图像输入、去噪、梯度幅值计算和阈值选取方式上进行了优化,实现圆孔中心像素级边缘坐标的粗定位;其次提取待测零件圆孔所在的目标区域边缘像素点,利用在Ghosal算法的基础上提出新的边缘判断条件和采用迭代法计算得到Zernike矩的最佳灰度阶跃阈值来判断并获取亚像素边缘点,且从灰度边缘模型的角度对误差进行了分析;最后利用最小二乘原理实现圆孔中心坐标和半径的高精度检测和测量。仿真结果表明,改进算法的圆心坐标相对误差在0.02pixels范围内,半径的相对误差精度为0.05pixels范围内。通过对几个不同零件的实际测量,实验结果表明,改进后的算法和原算法与人工测量值对比,改进后的算法相对误差值更低,得到的实际值更接近人工测量值,测量精度明显高于传统的Zernike矩算法,所达到的测量精度能够满足工业零件生产过程中的精度要求。

基于改进Zernike矩的海洋绞车排缆间隙亚像素检测方法

针对海洋绞车现有排缆方式易受环境干扰、接触摩擦磨损影响排缆精度问题,采用非接触式视觉检测直接表征排缆质量的排缆间隙的排缆方式,提出了一种基于改进Zernike矩的海洋绞车排缆间隙亚像素测量方法。首先将二维图像梯度信息垂直投影为一维波形,提出基于Scharr梯度信息的垂直投影排缆间隙定位方法,快速定位间隙区域;然后通过主梯度方向插值改进Zernike矩的亚像素边缘检测,提高亚像素边缘检测精度;最后采用基于DBSCAN的最小二乘曲线拟合方法实现多条不相交曲线拟合,实现排缆间隙大小测量。实验结果表明,本文方法相比于拟合法、插值法、传统Zernike矩法亚像素检测具有较高的准确度和测量精度,排缆间隙测量误差在0.1 mm内,相对误差可达8.60%以内,为有效实现精准排缆提供前提保证。

An effective copy-move forgery detection algorithm using fractional quaternion Zernike moments and improved PatchMatch algorithm

An effective algorithm is proposed to detect copy-move forgery.In this algorithm,first,the PatchMatch algorithm is improved by using a reliable order-statistics-based approximate nearest neighbor search algorithm(ROSANNA)to modify the propagation process.Then,fractional quaternion Zernike moments(FrQZMs)are considered to be features extracted from color forged images.Finally,the extracted FrQZMs features are matched by the improved PatchMatch algorithm.The experimental results on two publicly available datasets(FAU and GRIP datasets)show that the proposed algorithm performs better than the state-of-the-art algorithms not only in objective criteria F-measure value but also in visual.Moreover,the proposed algorithm is robust to some attacks,such as additive white Gaussian noise,JPEG compression,rotation,and scaling.

Image Zernike Moments Shape Feature Evaluation Based on Image Reconstruction

The evaluation approach to the accuracy of the image feature descriptors plays an important role in image feature extraction. We point out that the image shape feature can be described by the Zernike moments set while briefly introducing the basic concept of the Zernike moment. After talking about the image reconstruction technique based on the inverse transformation of Zernike moment, the evaluation approach to the accuracy of the Zernike moments shape feature via the dissimilarity degree and the reconstruction ratio between the original image and the reconstructed image is proposed. The experiment results demonstrate the feasibility of this evaluation approach to image Zernike moments shape feature.

Evolutionary Computation Based Optimization of Image Zernike Moments Shape Feature Vector

The image shape feature can be described by the image Zernike moments. In this paper, we points out the problem that the high dimension image Zernike moments shape feature vector can describe more detail of the original image but has too many elements making trouble for the next image analysis phases. Then the low dimension image Zernike moments shape feature vector should be improved and optimized to describe more detail of the original image. So the optimization algorithm based on evolutionary computation is designed and implemented in this paper to solve this problem. The experimental results demonstrate the feasibility of the optimization algorithm.

Visual positioning of rectangular lead components based on Harris corners and Zernike moments

With the increasing necessities for reliable printed circuit board(PCB) product, there has been a considerable demand for high speed and high precision vision positioning system. To locate a rectangular lead component with high accuracy and reliability, a new visual positioning method was introduced. Considering the limitations of Ghosal sub-pixel edge detection algorithm, an improved algorithm was proposed, in which Harris corner features were used to coarsely detect the edge points and Zernike moments were adopted to accurately detect the edge points. Besides, two formulas were developed to determine the edge intersections whose sub-pixel coordinates were calculated with bilinear interpolation and conjugate gradient method. The last experimental results show that the proposed method can detect the deflection and offset, and the detection errors are less than 0.04° and 0.02 pixels.

Blur Image Edge to Enhance Zernike Moments for Object Recognition

Zernike moments (ZMs) are a set of orthogonal moments which have been successfully used in the fields of image processing and pattern recognition. A combination of edge blurring with ZMs computation was introduced. In this study, several kinds of artificial binary stripe images were used to investigate the effects of edge blurring on the absolute mean error of reconstructed image from high-order ZMs. After the blurring process, the reconstruction errors were increased dramatically at edge pixels, but decreased on non-edge pixels. The experimental results demonstrated that 2-pixel blurring approach provided better performance for reducing reconstruction error. Finally, a template matching between two real images was simulated to illustrate the effectiveness of the proposed method.

Pseudo Zernike Moment and Deep Stacked Sparse Autoencoder for COVID-19 Diagnosis

(Aim)COVID-19 is an ongoing infectious disease.It has caused more than 107.45 m confirmed cases and 2.35 m deaths till 11/Feb/2021.Traditional computer vision methods have achieved promising results on the automatic smart diagnosis.(Method)This study aims to propose a novel deep learning method that can obtain better performance.We use the pseudo-Zernike moment(PZM),derived from Zernike moment,as the extracted features.Two settings are introducing:(i)image plane over unit circle;and(ii)image plane inside the unit circle.Afterward,we use a deep-stacked sparse autoencoder(DSSAE)as the classifier.Besides,multiple-way data augmentation is chosen to overcome overfitting.The multiple-way data augmentation is based on Gaussian noise,salt-and-pepper noise,speckle noise,horizontal and vertical shear,rotation,Gamma correction,random translation and scaling.(Results)10 runs of 10-fold cross validation shows that our PZM-DSSAE method achieves a sensitivity of 92.06%±1.54%,a specificity of 92.56%±1.06%,a precision of 92.53%±1.03%,and an accuracy of 92.31%±1.08%.Its F1 score,MCC,and FMI arrive at 92.29%±1.10%,84.64%±2.15%,and 92.29%±1.10%,respectively.The AUC of our model is 0.9576.(Conclusion)We demonstrate“image plane over unit circle”can get better results than“image plane inside a unit circle.”Besides,this proposed PZM-DSSAE model is better than eight state-of-the-art approaches.

New method for recognition of circular traffic sign based on radial symmetry and pseudo-zernike moments

Recognizing various traffic signs,especially the popular circular traffic signs,is an essential task for implementing advanced driver assistance system.To recognize circular traffic signs with high accuracy and robustness,a novel approach which uses the so-called improved constrained binary fast radial symmetry（ICBFRS） detector and pseudo-zernike moments based support vector machine（PZM-SVM） classifier is proposed.In the detection stage,the scene image containing the traffic signs will be converted into Lab color space for color segmentation.Then the ICBFRS detector can efficiently capture the position and scale of sign candidates within the scene by detecting the centers of circles.In the classification stage,once the candidates are cropped out of the image,pseudo-zernike moments are adopted to represent the features of extracted pictogram,which are then fed into a support vector machine to classify different traffic signs.Experimental results under different lighting conditions indicate that the proposed method has robust detection effect and high classification accuracy.

Performance of Object Classification Using Zernike Moment

Moments have been used in all sorts of object classification systems based on image. There are lots of moments studied by many researchers in the area of object classification and one of the most preference moments is the Zernike moment. In this paper, the performance of object classification using the Zernike moment has been explored. The classifier based on neural networks has been used in this study. The results indicate the best performance in identifying the aggregate is at 91.4% with a ten orders of the Zernike moment. This encouraging result has shown that the Zernike moment is a suitable moment to be used as a feature of object classification systems.

基于蚁群算法的Zernike矩亚像素工件边缘检测

边缘检测是影响工件尺寸检测精度的主要因素之一。为了进一步提高工件尺寸测量的准确性,本文提出了一个改进Zernike矩的亚像素边缘检测方法。首先,采用滤波和阈值分解等技术对图像进行预处理以得到二值图,再次,采用蚁群算法得到图像的边界,然后,采用Zernike矩的边界检测方法来确定图像亚像素边缘。结果表明,改进的边缘检测方法相较于传统方法,其提取的亚像素边缘坐标与原始坐标之间的绝对误差不超过0.5,且运行速度提高了约10倍,较好地满足了工件尺寸检测精度的要求。

Rotation, Scaling and Translation Invariant Blind Image Watermarking Scheme Utilizing Zernike Moments

A novel adaptive blind image watermarking scheme resistant to Rotation, scaling and translation (RST) attacks is proposed in this paper. Based on fuzzy clustering theory and Human visual system (HVS) model, the spread spectrum watermark is adaptively embedded in Discrete wavelet transform (DWT) domain. In order to register RST transform parameters, a hierarchical neural network is utilized to learn image geometric pattern represented by low order Zernike moments. Watermark extraction is carried out after watermarked image has been synchronized without original image. It only needs a trained neural network.Experiments show that it can embed more robust watermark under certain visual distance, effectively resist Joint photographic experts group (JPEG) compression, noise and RST attacks.

A Theoretical Comparison among Recursive Algorithms for Fast Computation of Zernike Moments Using the Concept of Time Complexity

Zernike polynomials have been used in different fields such as optics, astronomy, and digital image analysis for many years. To form these polynomials, Zernike moments are essential to be determined. One of the main issues in realizing the moments is using factorial terms in their equation which causes higher time complexity. As a solution, several methods have been presented to reduce the time complexity of these polynomials in recent years. The purpose of this research is to study several methods among the most popular recursive methods for fast Zernike computation and compare them together by a global theoretical evaluation system called worst-case time complexity. In this study, we have analyzed the selected algorithms and calculated the worst-case time complexity for each one. After that, the results are represented and explained and finally, a conclusion has been made by comparing these criteria among the studied algorithms. According to time complexity, we have observed that although some algorithms such as Wee method and Modified Prata method were successful in having the smaller time complexities, some other approaches did not make any significant difference compared to the classical algorithm.

Osteosarcoma Segmentation in MRI Based on Zernike Moment and SVM

Osteosarcoma is primary malignant neoplasms derived from cells of mesenchymal origin, and often has distinct phenotypes at different stages. The location of tumor and reaction zone can be identified by an expert in magnetic resonance imaging (MRI), with MRI being one of the choices for evaluating the extent of osteosarcoma. However, it is still a challenge to automatically extract tumor from its surrounding tissues because of their low intensity differences in MRI. We investigated an approach based on Zernike moment and support vector machine (SVM) for osteosarcoma segmentation in T1-weighted image (TIWI). Firstly, the different order moments around each pixel are calculated in small windows. Secondly, the grayscale and the module values of different order moments are used as a texture feature vector which is then used as the training set for SVM. Finally, an SVM classifier is trained based on this set of features to identify the osteosarcoma, and the segmented tumor tissue is rendered in 3D by the ray casting algorithm based on graphics processing unit (GPU). The performance of the method is validated on T1WI, showing that the segmentation method has a high similarity index with the expert's manual segmentation.