地图投影的最小二乘二元多项式拟合的误差估计     

张晓盼  齐欢 《测绘科学》2003,28(3):49-51

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   

关于O₃层垂直剖面遥感的逆转曲线的数学拟合模式          下载免费PDF全文

柳燕  魏鼎文 《地球物理学报》1997,40(6):747-752

逆转遥感是当前获得大气O₃层垂直剖面资料的重要方法之一，而逆转曲线的质量对遥感结果的精度至关重要．本文在最小二乘法的基础上，结合逆转曲线的特征，加以适当处理，建立了逆转曲线的拟合数学模式．其性能良好，对研究O₃层垂直剖面的长期演变趋势具有重要意义．  相似文献   

Pall型摩擦阻尼支撑内力计算方法   总被引：3，自引：0，他引：3  

吴斌  张纪刚  欧进萍 《世界地震工程》2004,20(2):6-11

从Pall摩擦阻尼器四连杆机构的几何非线性变形特征出发，分析框架位移、支撑刚度、阻尼器摩擦力、阻尼器大小、支撑倾角、支撑屈曲力等对一种改进的Pall摩擦阻尼器-T形芯板摩擦阻尼器支撑的受力特点，拟合出可供设计人员使用的实用计算公式。  相似文献   

MODIS 1B影像几何纠正方法研究及软件实现   总被引：24，自引：0，他引：24  

蒋耿明  刘容高  牛铮  庄大方 《遥感学报》2004,8(2):158-164

MODIS影像是一种新型和重要的数据。对MODIS 1B影像几何畸变原因进行了深入分析，选择了一种合适的纠正方法。对于1km分辨率MODIS 1B影像，直接采用1km分辨率的空间坐标进行几何纠正；对于250m和500m分辨率的MODIS 1B影像，先用三次样条曲线对坐标进行插值生成同分辨率的坐标，然后利用坐标插值结果对其进行几何纠正。由于MODIS影像在空问分布上的特殊性，采用前向和后向映射相结合的方式确定纠正后某一像素点在原始影像中的位置。根据该位置的条带重叠度，可以确定参与计算像素个数、搜索窗口的大小以及窗口的精确位置；采用归一化反距离加权插值法计算纠正后像素点的属性值。上述优化算法不仅保证了纠正后影像的质量，而且提高了数据处理速度。作者在Visual C 6．0环境下开发实现了上述算法。从坐标插值和几何纠正结果分析，无论是数据处理速度还是纠正后的影像质量和精度均达到要求。  相似文献   

Testing a statistical curve‐fitting procedure for quantifying sediment populations within multi‐modal particle‐size distributions     

John Leys  Grant McTainsh  Terry Koen  Brian Mooney  Craig Strong 《地球表面变化过程与地形》2005,30(5):579-590

This paper describes a series of tests designed to evaluate the capacity of a personal computer (PC) based statistical curve‐fitting program called MIX to quantify composite populations within multi‐modal particle‐size distributions. Three natural soil samples were analysed by a Coulter Multisizer, and their particle‐size distributions analysed using MIX software to identify the modes, standard deviations and proportions of their composite populations. The particle‐size distributions of the three natural soil samples were then numerically combined in equal proportions using a spreadsheet program to create synthetic particle‐size distributions of known populations. MIX was then tested on the synthetic particle‐size distributions to see if the modes and proportions it identified were similar to those modes and proportions known to characterize the synthetic particle‐size distributions. The main outcome is that MIX can very accurately describe the modal particle size and proportions of the major composite populations within a particle‐size distribution. However MIX has difficulty in identifying small populations (those contributing <10 per cent of a total particle‐size distribution), particularly when they are located in the central sections of particle‐size distributions, overlain by larger populations, or when positioned in the fine tails of distributions. Despite these minor shortcomings, MIX is a valuable tool for the examination and interpretation of particle‐size data. Copyright © 2005 John Wiley & Sons, Ltd.  相似文献   

An attempt to estimate isotropic and anisotropic lateral structure of the Earth by spectral inversion incorporating mixed coupling   总被引：2，自引：0，他引：2  

Hitoshi Oda 《Geophysical Journal International》2005,160(2):667-682

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Evaluating soil moisture estimation from ground-penetrating radar hyperbola fitting with respect to a systematic time-domain reflectometry data collection in a boreal podzolic agricultural field     

Chameera Illawathure  Gary Parkin  Sébastien Lambot  Lakshman Galagedara 《水文研究》2020,34(6):1428-1445

The upper 30 cm of the soil profile, which hosts the majority of the root biomass, can be considered as the shallow agricultural root zone of most temperate crops. The electromagnetic wave velocity in the soil obtained from reflection hyperbolas in ground-penetrating radar (GPR) data can be used to estimate soil moisture (SM). Finding shallow hyperbolas in a radargram and minimizing the subjective error associated with the hyperbola fitting are the main challenges in this approach. Nevertheless, we were motivated by the recent improvements of hyperbola fitting algorithms, which can reduce the subjective error and processing time. To overcome the difficulty of finding very shallow hyperbolas, we applied the hyperbola fitting method to reflections ranging from 27- to 50-cm depth using a 500-MHz centre-frequency GPR and compared the estimated moisture with vertically installed, 30-cm-long time-domain reflectometry (TDR) sensors. We also compared TDR and GPR sample areas in a 2-D plane using different GPR survey types and different hyperbola depths. SM measured with TDR and GPR were not significantly different according to Mann–Whitney's test. Our analyses showed that a root mean square error of 0.03 m³ m⁻³ was found between the two methods. In conclusion, the proposed method might be suitable to estimate SM with an acceptable accuracy within the root zone if the soil profile is fairly uniform within the application depth range.  相似文献   

Dynamic response of a pile considering the interaction of pile variable cross section with the surrounding layered soil          下载免费PDF全文

Liu Gao  Kuihua Wang  Si Xiao  Wenbing Wu 《国际地质力学数值与分析法杂志》2017,41(9):1196-1214

Assuming that the pile variable cross section interacts with the surrounding soil in the same way as the pile toe does with the bearing stratus, the interaction of pile variable cross section with the surrounding soil is represented by a Voigt model, which consists of a spring and a damper connected in parallel, and the spring constant and damper coefficient are derived. Thus, a more rigid pile–soil interaction model is proposed. The surrounding soil layers are modeled as axisymmetric continuum in which its vertical displacements are taken into account and the pile is assumed to be a Rayleigh–Love rod with material damping. Allowing for soil properties and pile defects, the pile–soil system is divided into several layers. By means of Laplace transform, the governing equations of soil layers are solved in frequency domain, and a new relationship linking the impedance functions at the variable‐section interface between the adjacent pile segments is derived using a Heaviside step function, which is called amended impedance function transfer method. On this basis, the impedance function at pile top is derived by amended impedance function transfer method proposed in this paper. Then, the velocity response at pile top can be obtained by means of inverse Fourier transform and convolution theorem. The effects of pile–soil system parameters are studied, and some conclusions are proposed. Then, an engineering example is given to confirm the rationality of the solution proposed in this paper. Copyright © 2017 John Wiley & Sons, Ltd.  相似文献   

基于等价权抗差估计和线性规划的天线曲面拟合算法     

苏小文  李志静  黄浩 《测绘与空间地理信息》2016,(7):207-209

现有天线曲面拟合算法均基于最小二乘法,难以消除多个粗差对拟合结果的影响。本文基于等价权抗差估计思想,利用线性规划计算残差初值,再进行选权迭代计算。通过算例,证明本文方法能较好地探查多个粗差,且计算结果精度更高。  相似文献   

相对湿度和PM_2.5浓度对大气能见度的影响研究:基于小时资料的多站对比分析          下载免费PDF全文

樊高峰  马浩  张小伟  刘樱 《Acta Meteorologica Sinica》2016,74(6):959-973

为了全面分析浙江省不同区域能见度变化基本特征及影响机理,基于杭州、宁波、温州3个国家基本气象站2013-2014年逐时能见度观测资料,比较分析了3市能见度变化的基本特征。发现3市不同等级能见度出现频率基本一致,随着能见度等级的提高,出现频率逐渐降低;从能见度的日变化来看,07时（北京时）前后最低,之后缓慢上升,14-15时达到最高,随后逐渐下降;全年有两个能见度较低时段,分别出现在12月-次年2月和5-6月;总体而言,宁波能见度最优,杭州和温州大体相当。功率谱分析结果表明,3市能见度均有显著的日周期,高频波段呈现出多个显著谱峰,低频波段存在若干显著谱峰。进一步开展机理分析,发现相对湿度和PM_2.5浓度是调制大气能见度的关键因子,相对湿度增大、PM_2.5浓度升高导致能见度降低。在同一相对湿度等级下,初始阶段能见度随PM_2.5浓度的升高迅速降低,到达“拐点”之后降低速率趋于缓慢。在同一PM_2.5浓度水平下,相对湿度越大,能见度越低,说明水汽对能见度也有重要影响。基于相对湿度和PM_2.5浓度两个因子,采用非线性拟合方案构建了大气能见度定量统计模型,总体而言模型拟合效果较好。最后针对研究中存在的不足和未来值得进一步发掘的科学问题进行了讨论。  相似文献