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GIS中三维空间直线的误差熵模型 总被引：1，自引：0，他引：1
从信息熵的角度提出了三维空间直线的误差熵模型，该模型由以垂直直线的平面误差熵为半径的圆柱体和两端点的误差球组成，是一种完全确定的度量空间线元不确定性的模型。理论分析与实验表明，本文所提出的模型具有较好的效果。 相似文献
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非线性普通秩亏自由网平差模型强度曲率度量 总被引：2，自引：0，他引：2
在非线性平差模型强度的曲率度量基础上, 提出非线性普通秩亏自由网平差模型强度的曲率度量。这对有效地解决非线性普通秩亏自由网平差模型线性化近似的容许问题,并对分析非线性普通秩亏自由网平差的参数置信域以及非线性最小二乘估计量的统计性质具有重要意义。 相似文献
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空间分析是地理信息系统中必不可少的一部分,随着计算机硬件、三维仿真技术的成熟,用户希望将空间分析及其结果在更加直观的三维空间中进行表达。而分析区域或分析结果大部分是以多边形的形式进行表达,因此,需要研究三维空间中任意多边形的绘制方法。本文分析了三维空间中传统多边形绘制方法的局限性,提出了基于三角剖分的任意多边形绘制方法,并进行了算法实现。 相似文献
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针对航空核线影像的稠密匹配问题,该文提出了一种基于控制点与RGB三色置信传播模型的多通道置信传播算法。该算法利用点特征匹配算子提取影像的部分同名点作为区域控制点,随后将RGB 3个颜色分量都作为置信传播模型的独立基础变量,同时增加邻域像素点对的颜色差异的贡献。两组核线影像匹配实验结果表明,所提算法在使用较少参数的情况下,降低了同名点存在颜色差异造成的干扰,利用置信传播原理提高了同名点的匹配正确率,能有效进行航空核线影像的逐像素密集匹配。 相似文献
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矢量GIS平面随机线元误差模型建模机理 总被引：8，自引：2，他引：8
基于随机线元误差分布机理 ,研究了GIS中平面随机线元位置不确定性误差模型的建模原理 ,提出了决定误差模型形状的形状因子与误差模型规模的尺度因子的概念与确定方法 ,结合线元落入其等概率密度误差模型内的概率算法 ,解决了平面随机线元误差模型的形状与规模 相似文献
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高光谱遥感光谱相似性度量算法与若干新方法研究 总被引：3，自引：0，他引：3
提出了一种新的光谱相似性度量算法分类体系。在归纳算法的基础上，根据不同的度量原理与实现簋略，结合应用需求，提出了基于光谱多边形的测度、四值编码、十进制编码、树状变换测度及基于小波变换的测度等新方法，这些方法能够应用于分类、检索等的相似性度量中。 相似文献
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GIS空间数据面元与线元不确定性的关系 总被引：2，自引：0，他引：2
通过对线元误差落在一定区域内的概率分析，进一步明确了线元误差的概率统计性质．对多边形面积精度与面元误差环对面积精度影响这两者关系进行推导和数值计算，探讨多边形面积的标准差和面元误差带面积之间的关系，通过对多边形各边的线元误差分析．进一步描述多边形面积误差的分布状况和概率统计性质。 相似文献
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考虑实用性和合理性,将线元看成离散点的集合,将线的不确定性看成点的不确定性的聚合体,将线元的位置不确定性模型看成以各点误差椭圆的长半轴E为半径的误差圆的聚合体,建立了以线元上任意点处的误差椭圆的长半轴E为带宽的线元不确定性εE模型。给出了基于该模型衡量线元位置不确定性的三种度量指标:可视化图形、平均误差带宽和误差带的面积。最后,将该模型与εσ模型和εm模型进行了比较。 相似文献
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The mathematic theory for uncertainty model of line segment are summed up to achieve a general conception, and the line error band model of εp is a basic uncertainty model that can depict the line accuracy and quality efficiently while the model of εm and error entropy can be regarded as the supplement of it. The error band model will reflect and describe the influence of line uncertainty on polygon uncertainty. Therefore, the statistical characteristic of the line error is studied deeply by analyzing the probability that the line error falls into a certain range. Moreover, the theory accordance is achieved in the selecting the error buffer for line feature and the error indicator, The relationship of the accuracy of area for a polygon with the error loop for a polygon boundary is deduced and computed. 相似文献
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The mathematic theory for uncertainty model of line segment are summed up to achieve a general conception, and the line error band model of ?σ is a basic uncertainty model that can depict the line accuracy and quality efficiently while the model of ?m and error entropy can be regarded as the supplement of it. The error band model will reflect and describe the influence of line uncertainty on polygon uncertainty. Therefore, the statistical characteristic of the line error is studied deeply by analyzing the probability that the line error falls into a certain range. Moreover, the theory accordance is achieved in the selecting the error buffer for line feature and the error indicator. The relationship of the accuracy of area for a polygon with the error loop for a polygon boundary is deduced and computed. 相似文献
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Positional error of line segments is usually described by using “g-band”, however, its band width is in relation to the confidence level choice. In fact, given different confidence levels, a series of concentric bands can be obtained. To overcome the effect of confidence level on the error indicator, by introducing the union entropy theory, we propose an entropy error ellipse index of point, then extend it to line segment and polygon, and establish an entropy error band of line segment and an entropy error donut of polygon. The research shows that the entropy error index can be determined uniquely and is not influenced by confidence level, and that they are suitable for positional uncertainty of planar geometry features. 相似文献
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LIU Chun TONG Xiaohua 《地球空间信息科学学报》2005,8(3):183-188
The mathematic theory for uncertainty model of line segment are summed up to achieve a general conception, and the line error hand model of εσ is a basic uncertainty model that can depict the line accuracy and quality efficiently while the model of εm and error entropy can be regarded as the supplement of it. The error band model will reflect and describe the influence of line uncertainty on polygon uncertainty. Therefore, the statistical characteristic of the line error is studied deeply by analyzing the probability that the line error falls into a certain range. Moreover, the theory accordance is achieved in the selecting the error buffer for line feature and the error indicator. The relationship of the accuracy of area for a polygon with the error loop for a polygon boundary is deduced and computed. 相似文献
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In this paper, a method to detect corresponding point pairs between polygon object pairs with a string matching method based on a confidence region model of a line segment is proposed. The optimal point edit sequence to convert the contour of a target object into that of a reference object was found by the string matching method which minimizes its total error cost, and the corresponding point pairs were derived from the edit sequence. Because a significant amount of apparent positional discrepancies between corresponding objects are caused by spatial uncertainty and their confidence region models of line segments are therefore used in the above matching process, the proposed method obtained a high F-measure for finding matching pairs. We applied this method for built-up area polygon objects in a cadastral map and a topographical map. Regardless of their different mapping and representation rules and spatial uncertainties, the proposed method with a confidence level at 0.95 showed a matching result with an F-measure of 0.894. 相似文献
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GONGJianya DUDaosheng LIDajun GUANYunlan 《地球空间信息科学学报》2003,6(2):20-24
Positional error of line segments is usually described byusing “g-band”,however,its band width is in relation to the confidence level choice.In fact,given different confidence levels,a series of concentric bands can be obtained.To overcome the effect of confidence level on the error indicator,by introducing the union entropy theory,we propose an entropy error ellipse index of point,then extend it to line segment and polygon.and establish an entropy error band of line segment and an entropy error do-nut of polygon.The research shows that the entropy error index can be determined uniquely and is not influenced by confidence level,and that they are suitable for positional uncertainty of planar geometry features. 相似文献
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支持地图综合的面状目标约束Delaunay三角网剖分 总被引：6，自引：0，他引：6
针对多边形面状目标的综合问题,建立了二维空间中约束Ｄｅｌａｕｎａｙ三角网剖分结构,融入多边形的环、岛屿、边界、顶点的描述,通过形式化条件检索,在该结构上提取二维空间中各种感兴趣的由剖分三角形组成的区域,用于支持地图综合中邻近多边形的搜索、多边形弯曲部位的识别、冲突关系探测、多边形合并等操作。并对基于骨架线的图结构建立、分枝宽度计算等几何问题进行了详细讨论,指出了其在诸如双线河中轴化、街道中轴线网络模型建立、多边形合并中的邻近关系分析、面状目标注记自动定位领域的支持作用。 相似文献
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《International Journal of Digital Earth》2013,6(2):165-183
This paper presents a new spatial data model based on trapezoidal-mesh for implementing spatial operations within geographical information systems (GIS). Based only on the solid foundation of spatial operations, diversified application models can be established to bridge the gap between Digital Earth models and the real world with its real-world problems (‘connecting through location’). In this paper, the involved polygon features are decomposed into a series of trapezoidal-meshes. Then, geo-processing operations are employed on these meshes rather than the original polygon features, resulting in a relatively simple spatial computation. As a kind of model designed by integrating raster with vector, the model presented here has advantages over other models when carrying out spatial operations insofar as providing a solid foundation for achieving the grand goal of Digital Earth. The concept of this data model and the two extensive examples of its application in spatial operations are elaborated upon in this article. As a result, this article and the research that supports it, proves that the adoption of the trapezoidal-mesh model greatly improves the efficiency of spatial operations in GIS. 相似文献
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基于Monte Carlo方法的不确定性地理现象可视化 总被引：2，自引：0，他引：2
艾廷华 《武汉大学学报(信息科学版)》2004,29(3):239-244
应用Monte Carlo方法伪随机数模拟表达随机过程现象的数学方法，并结合粒子系统模型提出了一种地理现象空间分布不确定性特征的动画可视化方法。通过栅格单元的随机运动，从视觉上表达现象分布在空间定位、属性特征上的不确定性、模糊性，同时由Monte Carlo方法控制随机过程中现象分布的统计规律。 相似文献
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城市交通网络分形维数的不确定性估计、控制与分析 总被引：1，自引：0，他引：1
长度-半径维数模型作为描述城市交通网络复杂不确定性现象的一种分形分维方法,其自身存在的不确定性往往被忽视,且相关研究更是鲜见报道。故针对该模型在分形维数测算全过程中存在的不确定性问题,本文率先开展了系统剖析、定量估计和质量控制研究。首先对数据源、矢量化处理、测算中心、尺度选择、以及分维数模型估计等一系列环节进行了不确定性估计与分析,其中首次给出了分形维数在一定置信水平下的不确定性度量区间,并依据误差传播理论对误差的传递和累积进行了描述;然后着重提出了基于LMed S(Least Median of Squares)的质量控制方法。最后通过对拉萨市的算例实验表明:道路的矢量化过程、测算中心和测算尺度的选择都会导致分维的不确定性;并在对数据质量进行控制的基础上,通过置信区间对长度-半径维数模型的不确定性进行了在一定概率水平下的首次度量;同时结合区域现状对研究结果给出了合乎实际的解释。本文在描述表征不确定性问题的分形几何和分形维数的基础上,系统地揭示了其自身不确定性的本质,不仅进一步丰富了分形分维理论,为控制其质量奠定理论基础,而且可为城市交通网络分形维数的地学应用提供可靠的科学依据。 相似文献