Image representation using accurate orthogonal Gegenbauer moments

Image representation by using polynomial moments is an interesting theme. In this paper, image representation by using orthogonal Gegenbauer function is presented. A novel method for accurate and fast computation of orthogonal Gegenbauer moments is proposed. The accurate values of Gegenbauer moments are obtained by mathematically integrating Gegenbauer polynomials multiplied by their weight functions over the digital image pixels. A novel recurrence formula is derived for the kernel generation. The proposed method removes the numerical approximation errors involved in conventional method. A fast algorithm is proposed to accelerate the moment’s computations. A comparison with the conventional method is performed. The obtained results explain the efficiency and the superiority of the proposed method.     

基于Legendre矩的CT及MR医学图象融合方法

为了提高CT、MR多模态医学图象配准、融合的精度和速度,提出了基于Legendre矩的CT和MR多模态医学图象配准、融合方法,并运用二维9数据图象的Legendre矩正交性和无冗余性的特点,通过找出CT及MR两种模态医学图象的质心,计算出两图象的比例因子,从而完成了两图象的平移和旋转,并精确地实现了CT和MR两模态图象的配信、融合,还优化了Legendre矩的快速算法和提高了应用Legendre矩配准CT和MR图象的速度。实验表明,利用Legendre矩对CT和MR等多模态图象配准、融合,不失为一种比较直接、简洁的方法;同时,Legendre矩在医学影象诊断、放疗计划系统等方面也具有重要的应用价值。     

Blind Source Extraction for Noisy Mixtures by Combining Gaussian Moments and Generalized Autocorrelations

In the blind source extraction problem, the concept of generalized autocorrelations has been successfully used when the desired signal has special temporal structures. However, their applications are only limited to noise-free mixtures, which is not realistic. Therefore, this paper addresses the extraction of the noisy model based on these temporal characteristics of sources. An objective function, which combines Gaussian moments and generalized autocorrelations, is proposed. Maximizing this objective function, we present a blind source extraction algorithm for noisy mixtures. Simulations on synthesized signals, images, artificial electrocardiogram (ECG) data and the real-world ECG data show the better performance of the proposed algorithm. Moreover, comparisons with the existing algorithms further indicate its validity and also show its robustness to the estimated error of time delay.     

广义Pareto分布近似广义最小二乘估计

广义Pareto分布(generalized Pareto distribution,GPD)是统计分析中的一个极为重要的分布.对基于广义Pareto分布的若干个样本分位数进行了研究.首先,求解具有较高精度的形状参数的参数估计;其次,得出广义Pareto分布位置参数及尺度参数的近似广义最小二乘估计.本方法简单易行,对形状参数的存在条件没有限制,通过Monte Carlo模拟验证了该方法具有较高的精度.     

A direct calculation of moments of the sample variance

A systematic method to deal with the interrelations of systems with multi-index quantities (random variables) is proposed. The method differs of the well-known Polykays. An application of the theoretical results here presented is the calculation of the moments of the sample variance for general populations in a direct way. The main advantage of the proposed methodology is that no conversion formulae and other complicated Polykays rules are needed. However, the proposed method is compatible with Polykays philosophy and conversion formulae and multiplication rules can be derived by using the theoretical results of this work. For practical purposes, two algorithms for the calculation of the moments of the sample variance are proposed.     

Method to generate training samples for neural network used in target recognition

Training neural network to recognize targets needs a lot of samples.People usually get these samples in a non-systematic way,which can miss or overemphasize some target information.To improve this situation,a new method based on virtual model and invariant moments was proposed to generate training samples.The method was composed of the following steps:use computer and simulation software to build target object’s virtual model and then simulate the environment,light condition,camera parameter,etc.;rotate the model by spin and nutation of inclination to get the image sequence by virtual camera;preprocess each image and transfer them into binary image;calculate the invariant moments for each image and get a vectors’ sequence.The vectors’ sequence which was proved to be complete became the training samples together with the target outputs.The simulated results showed that the proposed method could be used to recognize the real targets and improve the accuracy of target recognition effectively when the sampling interval was short enough and the circumstance simulation was close enough.     

结合RSTC不变矩和LVQ神经网络的红外图像目标识别方法

通过分析比较红外图像的目标特征,为了达到理想的识别效果,在Maitra不变矩的基础上进行优化,选取RSTC不变矩作为目标识别的特征向量.采用LVQ神经网络建立识别模型,充分发挥神经网络的智能优势.对采集到的红外图像进行了测试实验,结果表明该方法可以提高识别效率.     

复数矩及它们的应用

复数矩是以复数为核的矩函数,它有许多不同的类型。常用的复数矩有径向矩、Fourier-Mellin矩、Zernike矩。用复数矩可容易地获得矩的旋转和尺度不变量。复数矩在目标姿态、目标方位的计算、图像重构和其他领域(如图像处理、图像识别和计算机视觉等)有广泛的应用。     

图像传感技术用于喷射沉积坯尺寸的实时检测

为了实时、精确地检测沉积坯体尺寸，先介绍了一种新的边缘检测算子——Sobel—Zernike moments算子用于沉积坯的边缘检测，该算子首先利用Sobel算子迅速找到可能边缘点，然后再利用Zernike moments算子精确定位边缘。最后，介绍了沉积坯特征尺寸提取的步骤。结果表明，本方法检测的尺寸最大相对误差的绝对值为0．32％，运行时间为0．932s，能够满足沉积坯尺寸检测的实时性和精度要求。     

利用熵和矩进行二值商标图象检索

商标图象的检索在图象库系统管理和应用中得到了越来越多的重视。检索商标图象,形状特征的提取是关键。文章提出了一种新的提取商标图象形状特征的算法。该算法从信息论的角度出发,综合利用图象信息熵及不变矩的特性来描述商标图象的形状特征。该方法算法简单,实验证明具有良好的平移、旋转及尺度不变性,且抗干扰性能良好。