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Sign-constrained robust least squares, subjective breakdown point and the effect of weights of observations on robustness 总被引：3，自引：1，他引：3
Peiliang Xu 《Journal of Geodesy》2005,79(1-3):146-159
The findings of this paper are summarized as follows: (1) We propose a sign-constrained robust estimation method, which can
tolerate 50% of data contamination and meanwhile achieve high, least-squares-comparable efficiency. Since the objective function
is identical with least squares, the method may also be called sign-constrained robust least squares. An iterative version
of the method has been implemented and shown to be capable of resisting against more than 50% of contamination. As a by-product,
a robust estimate of scale parameter can also be obtained. Unlike the least median of squares method and repeated medians,
which use a least possible number of data to derive the solution, the sign-constrained robust least squares method attempts
to employ a maximum possible number of good data to derive the robust solution, and thus will not be affected by partial near
multi-collinearity among part of the data or if some of the data are clustered together; (2) although M-estimates have been
reported to have a breakdown point of 1/(t+1), we have shown that the weights of observations can readily deteriorate such results and bring the breakdown point of
M-estimates of Huber’s type to zero. The same zero breakdown point of the L
1-norm method is also derived, again due to the weights of observations; (3) by assuming a prior distribution for the signs
of outliers, we have developed the concept of subjective breakdown point, which may be thought of as an extension of stochastic
breakdown by Donoho and Huber but can be important in explaining real-life problems in Earth Sciences and image reconstruction;
and finally, (4) We have shown that the least median of squares method can still break down with a single outlier, even if
no highly concentrated good data nor highly concentrated outliers exist.
An erratum to this article is available at . 相似文献
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CommunityViz是一个基于ArcGIS的规划软件,在城市规划中运用CommunityViz 3. 3版本的决策工具Build-Out分析可以按已有的土地利用规则来估算规划区域未来兴建建筑物数量,并根据规划的布局模式进行空间定位及以3维场景进行直观展示.论文结合实例介绍了Build-Out分析在城市规划中的应用. 相似文献
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SPOT影像的RPC模型纠正 总被引：1，自引：0，他引：1
高分辨率遥感卫星影像的RPC纠正模型,其实质是有理函数模型。在RPC模型纠正过程中,有理函数参数的解算是问题的关键,为了克服该算法的误差方程经法化后存在的问题,本文采用岭估计法来改善法方程,即通过选取适当的岭值,使检查点中误差满足定位精度要求,从而完成影像的纠正。 相似文献
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为了减小人群在连续空间上停留分布的估计误差,结合手机基站的空间的分布特点,根据基站间的邻近性来计算带宽控制参数,使搜索带宽随着基站的分布而变化;利用最小二乘交叉验证和对数概率两种方法来评价其估计效果,结果表明变化带宽比固定带宽的核密度估计效果更优。以深圳市手机位置数据为例,利用改进方法估计了几个典型时段城市人群停留的时空分布差异,反映了城市人群对城市不同区域的使用情况及其随时间变化情况。 相似文献
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定义了同名坐标观测值矩阵概念，建立了多层叠置同名观测值的多元分析模型，导出了同名点元叠置前后位置方差的一般估计式 相似文献
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ArcIMS的性能优化及高可用性配置研究 总被引：1，自引：0，他引：1
基于ArcIMS可以在Web上建立稳定的、高性能的GIS服务,着重阐述了如何最大程度地利用ArcIMS的技术优势,通过Web传送地图及其数据,如何配置ArcIMS系统以减少因为故障停机的概率,以及如何调整空间数据和地图服务来提高地图服务的性能.最后进行了网络评估和多任务机制分析,为不同的应用提供了不同的解决方案. 相似文献
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DEM matching is a technique to match two surfaces or two DEMs, at different reference frames. It was originally proposed to replace the need of ground control points for absolute orientation of perspective images. This paper examines DEM matching for precise mapping of pushbroom images without ground control points. We proved that DEM matching based on 3D similarity transformation can be used when model errors are only on the platform’s position and attitude biases. We also proposed how to estimate bias errors and how to update rigorous pushbroom sensor models from DEM matching results. We used a SPOT-5 stereo pair at ground sampling distance of 2.5 m and a reference DEM dataset at grid spacing of 30 m and showed that rigorous pushbroom models with accuracy better than twice of the ground sampling distance both in image and object space have been achieved through DEM matching. We showed further that DEM matching based on 3D similarity transformation may not work for pushbroom images with drift or drift rate errors. We discussed the effects of DEM outliers on DEM matching and automated removal of outliers. The major contribution of this paper is that we validate DEM matching, theoretically and experimentally, for estimating position and attitude biases and for establishing rigorous sensor models for pushbroom images. 相似文献
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理论平均值及p分布实例试验 总被引：3，自引：0，他引：3
推导了理论平均值公式。它是介于算述平均值和中位值之间的一类估计方法。人们可以根据需要对抗差与效率进行适宜选择。并用 p分布的几种情况进行了实验。 相似文献
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证明了主成分估计实质上是附着条件的参数平差，并根据此性质结合算例分析了主成分估计的局限性，提出了改进方法。 相似文献
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本文提出一种稳健估计的方法，作为对现有最小二乘方法的改进，对人造卫星激光测距资料进行预处理，判别异常值，估计中误差。该方法将使异常值的剔除更加稳定可靠；在多数情况下，可不借助人工屏幕处理，实现自动化，该方法有５０％崩溃点，且不受端点效应的影响。 相似文献
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提出一种新的激光扫描点云与数字影像结合的文物三维重建方法。利用格网板进行数码相机的标定获取影像的内方位元素;利用激光扫描数据,建立三角网物体表面模型;利用人工选取控制点,进行单片空间后方交会,获取影像的外方位元素;将三维表面模型投影到影像对象,利用影像匹配在现有的三角网内部继续通过影像匹配增加同名点,从而进行三角网的细分加密;最后通过OpenGL纹理映射建立带有逼真纹理的物体三维表面模型。 相似文献
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GPS网布设过程中,如果测区面积较大、网形复杂,则经常需要计算各点的设站次数与各点相关的基线数目以便进行GPS网的图形设计和精度估算。而基线边数、观测时段数与接收机数量密切相关,本文通过分析得出了三者之间的关系的一般公式。 相似文献
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探讨了在地图投影的最小二乘二元多项式拟合中参考点的分布对拟合误差的影响,提出了一种基于矩阵的秩亏的方法来判断参考点是否在指定次数的二元多项式空间的代数曲线上,并导出在极小范数最小二乘意义下的拟合多项式的误差估计式,公式表明拟合误差和参考点的最小二乘误差无关。 相似文献
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Zhenliang Xu Yi Sun Zhenling Ma Yanhuan Li 《Journal of the Indian Society of Remote Sensing》2017,45(6):939-943
This paper has established a high-precision hierarchical estimated pose parameters of image. Firstly, we select corresponding three image points of 3D points which constitute the largest area in image as a base, in order to estimate the depth and translate information; then based on the above method, we obtain the scale parameter of camera exterior information. And finally, the topic is transformed to a problem of estimating rotation relationship by vector, using Procrustes theory to obtain the best estimate of the angle elements of exterior parameters. The method can effectively solve problems which depth and coupling pose parameters cannot deal with. Experimental results show that this method of determining position and orientation parameter estimation model is of briefness, easy convergence and it can also achieve higher parameter estimation accuracy than the direct projection matrix factorization. 相似文献
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