Weyl transform associated with wavelets

The Weyl transform on the admissible wavelet space is defined, which is associated with the dilation and translation. And the criteria of its boundedness and compactness on the Lp-spaces are given.     

APPROXIMATE OUTPUT REGULATION FOR AFFINE NONLINEAR SYSTEMS

Output regulation for affine nonlinear systems driven by an exogenous signal is investigated in this paper. In the absence of the standard exosystem hypothesis, we assume availability of the instantaneous values of the exogenous signal and its first time-derivative for use in the control law. For affine nonlinear systems, the necessary and sufficient conditions of the solvability of approximate output regulation problem are obtained. The precise form of the control law is presented under some suitable assumptions.     

起重机行走机构车轮轴断裂原因分析

通过对起重机行走机构车轮轴断裂案例的分析和校核计算,找出了解决问题的方法,为解决这类问题提供了分析步骤和理论依据,有一定的参考价值.     

一种基于乘积的仿射密码算法

通过“乘积”来组合密码,是设计现代密码体制的一种重要思想。以不同的密码算法复合来构造一种“混合算法”,可以提高密码体制的保密性。对几种不同的简单密码算法做乘积可以构成复杂的函数关系,从而使新的密码算法保密性增强。     

带有权函数的Coxeter群Cn的胞腔

仿射Weyl群((C)n,S)可以看做仿射Weyl群((A)2n,(S))在其某个满足α((S))=(S)的群自同构α下的固定点集合.(A)2n上的长度函数(l)在(C)n上的限制可以看做(C)n上的某个权函数.本文通过研究仿射Weyl群(A)2n在α下的固定点集合从而给出带有权函数的Coxeter群((C)n,(l))中对应于划分2n-113的所有胞腔的清晰刻画.     

仿射Schur代数SΔ(2，3）Q的生成元与关系式

利用从普遍包络代数到仿射Schur代数之间的关系,给出了仿射Schur代数SΔ(2,3)Q的表现,即生成元与关系式.这个表现是通过在普遍包络代数的表现上额外增加一些关系式得到的.     

Extraction of affine invariant features for shape recognition based on ant colony optimization

A new approach to extraction of affine invariant features of contour image and matching strategy is proposed for shape recognition.Firstly,the centroid distance and azimuth angle of each boundary point are computed.Then,with a prior-defined angle interval,all the points in the neighbor region of the sample point are considered to calculate the average distance for eliminating noise.After that,the centroid distance ratios(CDRs) of any two opposite contour points to the barycenter are achieved as the representation of the shape,which will be invariant to affine transformation.Since the angles of contour points will change non-linearly among affine related images,the CDRs should be resampled and combined sequentially to build one-by-one matching pairs of the corresponding points.The core issue is how to determine the angle positions for sampling,which can be regarded as an optimization problem of path planning.An ant colony optimization(ACO)-based path planning model with some constraints is presented to address this problem.Finally,the Euclidean distance is adopted to evaluate the similarity of shape features in different images.The experimental results demonstrate the efficiency of the proposed method in shape recognition with translation,scaling,rotation and distortion.     

基于强角点的SAR图像自动配准

图像配准技术在合成孔径雷达图像处理中占据至关重要的位置。针对合成孔径雷达图像配准对时间和精度的需求,提出基于角点特征的配准算法。提取两幅图像的角点构造三角形,计算三角形的角度,寻找两幅图像对应的相似三角形,用三角形的顶点坐标求得仿射变换系数,参考图像进行仿射变换,与待配准图像比较相似性,最大相似性对应的变换图像为配准结果。引入用于视频追踪的强角点,对该算法进行验证。实验数据表明该算法的快速准确,并具有一定的抗噪性。     

直觉模糊仿射空间与直觉模糊子空间

在K．Atanassov引进直觉模糊集概念的基础上,利用直觉模糊点研究直觉模糊仿射空间与直觉模糊子空间,证明了向量空间E上的直觉模糊集是E上的直觉模糊子空间或直觉模糊仿射集的充要条件以及线性映射将直觉模糊子空间映射为直觉模糊子空间的定理,给出了直觉模糊线性变换和直觉模糊仿射变换的概念,并研究了直觉模糊线性变换和直觉模糊仿射变换之间的关系,从而使模糊空间和模糊变换的基本理论得到进一步的推广。     

基于边缘匹配和多尺度小波变换的图像校准

提出了一种新颖的图像校准算法．先将边缘方向曲线链码化,选出相对于基准点位置相似且局部链码匹配的对应边缘曲线段．然后采用多尺度小波变换提取对应边缘曲线段上的真实角点,即得到两幅图的对应特征点集．仿真试验证明,我们的算法可以在实时系统中,以较小复杂度,达到较好的性能．