关于多项式特征值的条件数

Tisseur(2000)研究了非齐次多项式特征值问题的条件数，所得结果的不足是对无穷特征值必须另外处理；Declieu和Tisseur(2003)运用微分几何方法研究了齐次多项式特征值问题的条件数，所得结果的不足之处是与系数矩阵的尺度化(scaling)有关。这两种条件数都有各自的应用范围。本文基于投影尺度引入齐次多项式特征值问题的条件数，其优点是与系数矩阵的尺度化无关，因而也许会有较广泛的应用。     

利用ICA算法进行全极化SAR影像滤波研究

提出了一种基于ICA算法的全极化SAR的滤波方法。首先对全极化SAR的四通道dB强度影像进行ICA变换,分离出信号及噪声分量,将噪声设为极小值,然后利用混合矩阵混合得到滤除噪声后的强度影像,结合原始相位信息,计算滤波后的散射矩阵。采用Foulum地物的EMISAR数据进行试验,并采用相干斑指数、均方差指数、边缘保持系数以及极化相关系数进行评价。结果表明,该方法不但能有效滤除影像的噪声,在边缘等细节信息保持上也具有较大优势。此外,滤波后影像虽散射特性发生改变,但维持了地物间的差异,在基于统计特性的精细分类、边缘信息及小目标检测方面仍具有较好的应用潜力。     

基于GIS位置分配的城市消防站点优化布局探析

介绍了GIS"位置分配"基本原理和优化模型,基于地形图构建路网模型,应用最小化设施点数和最大化覆盖范围模型确定布局方案,划定管理服务区优化消防站选址。通过对消防站可达性及消防出行机动能力分析,找出消防站布局规律,为城市消防站布局规划提供参考。     

基于组合罗德里格矩阵的异常特征点探测

特征点是点云配准的基础,针对异常特征点对点云配准精度的影响,本文给出了一种异常特征点探测方法,即根据罗德里格矩阵的性质,对特征点进行向量组合,对比分析不同向量组合的点云配准精度,确定配准误差超限的向量组合,此向量组合中含有而其他向量组合中不合有的特征点,便是异常特征点.通过实例验证了该方法的可行性.     

半参数估计与LS估计的有效性比较

建立半参数回归模型,将系统误差加入,推导出了模型正则化矩阵时参数平差的计算方法,并用直接法得到了参数、非参数的估计量,在MSE准则下与最小二乘估值(简称LS估值)进行比较,证明了半参数估值的有效性。     

网络分层用于最短路问题的算法研究

提出了一种基于Dijkstra方法的网络分层算法,实现了两点间节点数最少条件下最短通路的求取,并与传统Dijkstra算法进行了比较,得到了一些有益的结论。     

基于矩阵论的空间相似变换分析

根据空间相似变换的线性化公式，利用矩阵论分析误差方程的系数矩阵，给出求解空间相似变换参数所需控制点的具体要求。     

嫦娥3号巡视探测器桅杆的转动角度误差检校

嫦娥3号巡视探测器桅杆的展开机构、偏航机构和俯仰机构在转动过程中存在系统性的偏差,这些误差影响了巡视探测器导航定位、地形恢复和路径规划的精度.针对这一问题,文章提出了一种间接平差模型,通过真实数据试验证明该方法能够用于对嫦娥3号巡视探测器桅杆的转动角度误差进行检校,并且具有很高的精度和稳定性.     

Surface description for urban climate studies: A gis based methodology

In order to understand the nature of the urban climate, predict the effects of urbanization, or attempt to ameliorate some of the negative hydroclimatic effects of urbanization, it is necessary to have a good understanding of the role and significance of the urban surface. This paper presents a methodology which uses GIS to represent the characteristics and morphology of the urban surface, which can be used to describe a site objectively, model fluxes, or ensure spatial consistency between measured and modelled data, all of which can vary through time. The methodology is illustrated with respect to Chicago, Illinois. Surface data collected at three spatial scales were used to construct a georeferenced database which was linked to an objective, dynamic accessing system. Spatial variability of surface cover, derived hydroclimatic attributes, and modelled fluxes associated with changes in the urban environment are used to illustrate potential applications of the approach.     

Measurement of similarity for spatial directions between areal objects

Similarity for spatial directions plays an important role in GIS. In this paper, the conventional approaches are analyzed. Based on raster data areal objects, the authors propose two new methods for measuring similarity among spatial directions. One is to measure the similarity among spatial directions based on the features of raster data and the changes of distances between spatial objects, the other is to measure the similarity among spatial directions according to the variation of each raster cell centroid angle. The two methods overcome the complexity of measuring similarity among spatial directions with direction matrix model and solve the limitation of small changes in direction. The two methods are simple and have broader applicability.