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1.
平面线位误差带几何形状的解析表达   总被引:26,自引:7,他引:19  
本文根据求解曲线族包络线原理,导出了描述随机线元线位误差带边界线的分段函数表达式,证明了函数在分段点处的连续性,得出了“g-带”边界为连续闭合曲线的结论。从理论和实验角度讨论了各向同性,准均匀性和准均匀且各向同性误差带的边界线方程及形状。  相似文献   

2.
GIS中面元的误差熵模型   总被引:8,自引:0,他引:8  
根据整个线元边缘分布的平均信息熵确定了“ε-带”的宽度,提出了线元的平均误差熵带模型,进一步扩展到面元的误差熵环模型。误差熵环的带宽取构成边界线的各线段误差熵的加权平均值。最后通过算例比较了面元的误差熵环和误差环模型,绘出了它们的可视化图形,得出了一些有益的结论。  相似文献   

3.
GIS中线元位置不确定性的误差圆带   总被引:2,自引:0,他引:2  
分析了度量GIS线元位置不确定性的“ε-带”和“E-带”指标后,提出了“误差圆带”新指标,并与前二者进行了比较。结果表明,后者不仅理论上更为合理,而且应用上更为简单。  相似文献   

4.
GIS中平面面位误差环的解析模型   总被引:15,自引:3,他引:12  
本文基于随机场理论,导出了随机面元的分布函数和概率密度函数。为了衡量随机面元的位置不确定性,将点位误差椭圆和线位误差带进一步扩展到面位误差环指标。根据推求包括线的原理,导出了多边形面位误差环边界线的解析表达式,并分析了面位误差环的构成机理,证明了误差环边界线为连续闭合曲线的结论。最后通过实例绘制了面位误差环的可视化图形。  相似文献   

5.
通过仿真计算出随机线元落入其"真实值"缓冲区内的比例,并采用柯氏检验法对其进行分布拟合检验,得出随机线元落入缓冲区内的比例服从正态分布的结论,从而完善线元误差不确定带模型.  相似文献   

6.
中国陆地生态系统脆弱带遥感模型   总被引:4,自引:0,他引:4  
本研究通过对我国陆地生态系统8个典型样地的植被指数取样实验和图像计算结果发现,这8个样地植被指数随着水、热因子的季节变化,在时间和空间上具有一定的“绿波推移”和“景观更替”规律。在中国东部湿润的季风区(样地1-3),随着纬度的增高,其月平均植被指数与月平均气温有较大的相关。发现降水相对丰沛的地带,热量和光照条件的变化成为植被生长和变化的自然限制因子;而在中国北方森林-森林草原-典型昌原-荒漠草原-荒漠地带上,随着从东部(湿润地区)到西部(干旱地区)干湿条件的更替,月平均植被指数与降水多寡有较大的正相关关系。在8个样地上都呈现出共同的规律,即定向风的分布与植被指数的分布在时间和空间上具有逆相分布的“套合关系”。尤其在时间上有相逆套合关系,这正是中国北方沙尘暴和沙漠化加剧的自然原因。本研究定量地给出了我国陆地不同经纬度带生态系统脆弱季节和累积时间的分布。  相似文献   

7.
遥感图像最大似然分类方法的EM改进算法   总被引:35,自引:1,他引:35  
基于参数化密度分布模型的最大似然方法(MLC)是遥感影像分类最常用手段之一,与其他非参数方法(如神经网络)相比较,它具有清晰的参数解释能力、易于与先验知识融合和算法简单而易于实施等优点。但是由于遥感信息的统计分布具有高度的复杂性和随机性,当特征空间中类别的分布比较离散而导致不能服从预先假设的分布,或者样本的选取不具有代表性,往往得到的分类结果会偏离实际情况。首先介绍了用基于有限混合密度理论的期望最大(EM)算法来作为最大似然函数(MLC)参数估计的方法-EM-MLC。该模型首先假设总体混合密度分布可被分解为有限个参数化的高斯密度分布,然后把具有先验知识的样本与随机选取的未知样本混合在一起,通过EM迭代计算来估计出各密度分布的最大似然函数的参数集,从而一定程度上避免了参数估计可能出现的偏离。最后,本文提出了基于EM-MLC遥感影像分类的具体实施流程和应用示范,并与一般最大似然方法(MLC)得到的分类结果进行了定性和定量的综合比较,认为EM-MLC在精度上得到了提高。  相似文献   

8.
矢量GIS中随机折线定位不确定性的可视化模型   总被引:6,自引:0,他引:6  
折线是GIS中表达线形空间实体的基本制图要素。本文针对由随机折线点构成的折线要素建立了一种可视化误差模型。首先引入了随机折线要素误差带的基本概念,并导了误差带的边界线数学方程;然后针对开折线和闭折线两种情况绘出了误差带的可视化图形,并分析了形状特征,从而将单一随机折线元的误差带理论进一步扩展到一整条随机折线的一般情况。  相似文献   

9.
机载三维成像仪航带拼接的误差处理研究   总被引:3,自引:0,他引:3  
机载三维成像仪是集成了全球定位系统(GPS)、姿态测量装置、激光测距仪昨光谱成像仪的新一代航空遥感系统,它能直接得到的地学编码影像和数字地面模型(DTM),而无需地面控制点。利用图像上分布的具有三维坐标的激光点来纠正原始图像,并且生成DTM。该文首先分析了机载三维成像仪系统中各种传感器本身的误差和系统之间存在的误差,然后介绍了处理系统误差的方法-航带重叠区域灰度平均差值最小算法求解航带间的系统误差,同时还设计了一种变权方法来处理随机误差和拼接航带的地学编码图像。通过算例说明了处理算法的正确性。  相似文献   

10.
p—范分布母体抽样分布的数字特征   总被引:1,自引:0,他引:1  
给出了p-范分布子样的3个抽样分布-x^p分布,tp分布及Fp分布的分布函数及数学期望,方差与不确定度区间的计算公式,并对若干有关分布的应用总理2进行讨论。  相似文献   

11.
In this contribution we analyse in a qualitative sense for the geometry-free model the dependency of the location, the size and the shape of the ambiguity search space on different factors of the stochastic model. For this purpose a rather general stochastic model is used. It includes time-correlation, cross-correlation, satellite elevation dependency and the use of an a priori weighted ionospheric model, having the ionosphere-fixed model and the ionosphere-float model as special cases. It is shown that the location is invariant for changes in the cofactor matrix of the phase observables. This also holds true for the cofactor matrix of the code observables in the ionosphere-float case. As for time-correlation and satellite elevation dependency, it is shown that they only affect the size of the search space, but not its shape and orientation. It is also shown that the least-squares ambiguities, their variance matrix and its determinant, for, respectively, the ionosphere-fixed model, the ionosphere-float model and the ionosphere-weighted model, are all related through the same scalar weighted mean, the weight of which is governed by the variance ratio of the ionospheric delays and the code observables. A closed-form expression is given for the area of the search space in which all contributing factors are easily recognized. From it one can infer by how much the area gets blown up when the ionospheric spatial decorrelation increases. This multiplication factor is largest when one switches from the ionosphere-fixed model to the ionosphere-float model, in which case it is approximately equal to the ratio of the standard deviation of phase with that of code. The area gives an indication of the number of grid points inside the search space. Received: 11 November 1996 / Accepted: 21 March 1997  相似文献   

12.
基于彩色图像像素3刺激值与相应网点面积率之间的α幂修正的Neugebauer方程,建立由常规的调幅网为基础的调频挂网计算模型,以此实现分色胶片随机挂网  相似文献   

13.
A proper perturbation theory of a mathematical model and the quantities derived by means of least-squares adjustments is indispensable if the results have to be interpreted in a wider context. The sensitivity of some characteristic results of least-squares adjustments such as the estimated values of the parameters and their variance–covariance matrix due to imminent uncertainties of the stochastic model is discussed in detail. Linearizations are used with rigorous error measures and interval mathematics. Numerical examples conclude the investigations. Received: 27 December 1997 / Accepted: 19 April 1999  相似文献   

14.
In automated remote sensing based image analysis, it is important to consider the multiple features of a certain pixel, such as the spectral signature, morphological property, and shape feature, in both the spatial and spectral domains, to improve the classification accuracy. Therefore, it is essential to consider the complementary properties of the different features and combine them in order to obtain an accurate classification rate. In this paper, we introduce a modified stochastic neighbor embedding (MSNE) algorithm for multiple features dimension reduction (DR) under a probability preserving projection framework. For each feature, a probability distribution is constructed based on t-distributed stochastic neighbor embedding (t-SNE), and we then alternately solve t-SNE and learn the optimal combination coefficients for different features in the proposed multiple features DR optimization. Compared with conventional remote sensing image DR strategies, the suggested algorithm utilizes both the spatial and spectral features of a pixel to achieve a physically meaningful low-dimensional feature representation for the subsequent classification, by automatically learning a combination coefficient for each feature. The classification results using hyperspectral remote sensing images (HSI) show that MSNE can effectively improve RS image classification performance.  相似文献   

15.
建筑物沉降规律的综合时序分析   总被引:6,自引:0,他引:6  
建筑物的沉降监测数据序列具有趋势变化和随机变化的特点,本文针对两种变化项的特点分别建立相应的数学模型,再将其组合起来建立综合数学模型,从总体上把握沉降数据序列的变化规律。实例计算分析表明,此方法具有较高的拟合精度和预测能力,具有一定的应用参考价值。  相似文献   

16.
Income distribution dynamics and cross-region convergence in Europe   总被引:3,自引:3,他引:0  
This paper presents a continuous version of the model of distribution dynamics to analyse the transition dynamics and implied long-run behaviour of the EU-27 NUTS-2 regions over the period 1995–2003. It departs from previous research in two respects: first, by introducing kernel estimation and three-dimensional stacked conditional density plots as well as highest density regions plots for the visualisation of the transition function, based on Hyndman et al. (J Comput Graph Stat 5(4):315–336, 1996), and second, by combining Getis’ spatial filtering view with kernel estimation to explicitly account for the spatial dimension of the growth process. The results of the analysis indicate a very slow catching-up of the poorest regions with the richer ones, a process of shifting away of a small group of very rich regions, and highlight the importance of geography in understanding regional income distribution dynamics.
Manfred M. FischerEmail:
  相似文献   

17.
Due to increased demands on the quality of the results of Global Positioning System (GPS) evaluations, various authors have studied improvements of the stochastic model of GPS carrier-phase observations. These improvements are based on the reasonable assumption that the commonly used stochastic model with independent and homoscedastic (i.e. equal variance) errors is unrealistic. However, this has not been proved rigorously so far. A statistical test procedure based on uncorrelated least–squares residuals, which allows verification of the hypothesis of a heterogeneous variance, is provided. The statistical test procedure is of interest in its own right, and is independent of the practical problem considered. The presented technique is applied to GPS carrier-phase observations. Results show that the variances of the investigated observations are far from homogeneous. It is indicated that the error variances of the presented data increase with decreasing GPS satellite elevation. These results confirm the assumption that the commonly used stochastic model of GPS observations is inadequate and has to be improved.  相似文献   

18.
本文从函数模型和随机模型两方面入手综合讨论大地测量混合边值问题及其解。函数模型方面,首先对混合边值问题进行了一般描述;继而分别建立了垂直边值和水平边值问题的二阶近似模型;随机模型方面,考虑到重力场的随机模型与随机观测量及其重力场本身的随机性有关,任何假设的理想模型都可能偏离实际模型。故文章中介绍了能抵制随机模型偏差影响的抗差估计原理。如果将重力场看成随机场,则建议采用抗差拟合推估解。  相似文献   

19.
GPS定位中对流层折射估计研究   总被引:34,自引:6,他引:34  
葛茂荣  刘经南 《测绘学报》1996,25(4):285-291
本文首先讨论了GPS相对定位中的对流层折射2估计的单参数方法,多参数方法,分估线性方法和随机过程方法。论证了其它方法都是随机过程方法的近似。为了用随机过程模拟对流折射,建立了一种最小二乘递推算法。在此基础上,在GAMIT软件中统一实现了以各种对流层折射估计方法。最后给出并分析了不同方法所获得的结果。  相似文献   

20.
Categorical maps, comparisons, and confidence   总被引:2,自引:0,他引:2  
The comparison of categorical maps is a common problem in several different contexts. Differences between categorical maps can be characterized and measured in a variety of ways. In 2004 we invited individuals from remote sensing, geographical information analysis, spatial modelling, and landscape ecology to participate in a virtual workshop in order to compare strategies for comparison. This revealed that the key dimensions of comparison relate to (1) the map characteristics considered, (2) the nature of the comparison, (3) the handling of geographical space, (4) the units of computed measures, and (5) the tests of significance.Ferko Csillag deceased  相似文献   

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