InSAR高程模型及其精度分析

提出了一种改进的InSAR高程模型，建立了高程和干涉相位的直接关系，并对公式推导中一般采用的平行射线近似处理方法所引入的高程误差进行了量化分析。结果表明，对于星载雷达而言，平行射线近似误差不能忽略。给出了近似误差与基线参数的确定性关系及相应的误差传播曲线，有助于误差纠正和重建高精度DEM。另外，基于改进的高程模型，推导出了高程测量误差传播公式，明确了基线长度和方向对测高精度的影响，对合理选择干涉像对具有指导意义。     

基于k阶Voronoi多边形划分的k阶数据场拟合

讨论了k阶Voronoi图的离散点集的生成算法，挖掘了k阶Voronoi图的性质并加以证明；参照k阶Voronoi图的定义提出了k阶空间数据场的定义，并结合参考点利用其影响因子给出了低阶空间数据场的拟合函数通式；利用k阶Voronoi图对平面空间的平面区域最近邻近划分实现了对空间数据场的分割，从而将大量参考点集数据场化解为多个单元数据场的低阶拟舍，有效地降低了数据场拟舍的难度；提出了合并拟合和叠加拟合策略，实现了将单元数据场综合为完整的空间数据场。     

An integrated wavelet concept of physical geodesy

For the determination of the earth's gravity field many types of observations are nowadays available, including terrestrial gravimetry, airborne gravimetry, satellite-to-satellite tracking, satellite gradio-metry, etc. The mathematical connection between these observables on the one hand and gravity field and shape of the earth on the other is called the integrated concept of physical geodesy. In this paper harmonic wavelets are introduced by which the gravitational part of the gravity field can be approximated progressively better and better, reflecting an increasing flow of observations. An integrated concept of physical geodesy in terms of harmonic wavelets is presented. Essential tools for approximation are integration formulas relating an integral over an internal sphere to suitable linear combinations of observation functionals, i.e. linear functionals representing the geodetic observables. A scale discrete version of multiresolution is described for approximating the gravitational potential outside and on the earth's surface. Furthermore, an exact fully discrete wavelet approximation is developed for the case of band-limited wavelets. A method for combined global outer harmonic and local harmonic wavelet modelling is proposed corresponding to realistic earth's models. As examples, the role of wavelets is discussed for the classical Stokes problem, the oblique derivative problem, satellite-to-satellite tracking, satellite gravity gradiometry and combined satellite-to-satellite tracking and gradiometry. Received: 28 February 1997 / Accepted: 17 November 1997     

复平面上广义插值多项式的平均逼近阶

研究了复平面上 ,广义 Hermite-Fejer插值多项式的收敛性。得到了其在空间 lp(| z| =1 ) (0 相似文献   

内蕴大地边值问题

提出内蕴大地边值问题,使得有可能利用重力场边界观测研究地球重力场的内蕴结构。文中构造了椭球问题的迭代逼近求解程式,并给出了具体解式。     

Elastic waves at a corrugated interface between two dissimilar fibre‐reinforced elastic half‐spaces

The reflection and transmission phenomena of elastic waves incident at a corrugated interface between two dissimilar fibre‐reinforced elastic half‐spaces have been analysed. Using Rayleigh method of approximation, the expressions of the reflection and transmission coefficients are obtained in closed form for the plane interface as well as for the first order approximation of the periodic interface ζ = d cos px. All these reflection and transmission coefficients of regular and irregular waves are found to be the functions of angle of incidence and elastic parameters of the media. Moreover, the coefficients of irregularly reflected and transmitted waves are found to be proportional to the amplitude of the corrugated interface and are functions of the frequency of the incident wave. Numerical computations have been performed for a specific model to compute these coefficients and results obtained are shown graphically. The results of Singh and Singh (Sadhana 2004; 29 :249–257) and Ben‐Menahem and Singh (Seismic Waves and Sources. Springer: New York) have been derived from our analysis as particular cases. Copyright © 2006 John Wiley & Sons, Ltd.     

折线逼近法在水文遥测数据处理中的应用

水文资料整编是形成水文监测成果的重要环节,随着水文监测的自动化程度越来越高,数据采集量大幅度增长,大量的数据处理成为水文资料整编的一大难题.本文尝试采用"折线逼近法",对水文遥测数据进行精简处理,尽可能地减少摘录数据量,用最少的摘录数据构成的折线来模拟实际水文要素的变化过程,并使其过程不失真,满足规范要求,便于水文年鉴刊印.该方法在江苏省水文遥测数据直接整编程序软件编制过程中得到应用,获得了较好的效果.     

一类信号恢复问题的投影迭代硬阈值算法

本文给出了基于L₀模求解该问题的非凸模型,借助于稀疏正则化方法来克服问题的不适定性。该模型利用紧小波框架对信号进行稀疏逼近,并利用L₀模度量稀疏性。提出了求解该模型的投影迭代硬阈值算法,并证明了算法的全局收敛性。该算法每一步都有闭式解,计算过程简洁高效。数值实验表明,方法在重建信号的视觉质量和量化指标方面均优于所对比的pFISTA方法。     

A two‐dimensional model of hydraulic performance of stormwater infiltration systems

Stormwater infiltration systems are a popular method for urban stormwater control. They are often designed using an assumption of one‐dimensional saturated outflow, although this is not very accurate for many typical designs where two‐dimensional (2D) flows into unsaturated soils occur. Available 2D variably saturated flow models are not commonly used for design because of their complexity and difficulties with the required boundary conditions. A purpose‐built stormwater infiltration system model was thus developed for the simulation of 2D flow from a porous storage. The model combines a soil moisture–based model for unsaturated soils with a ponded storage model and uses a wetting front‐tracking approach for saturated flows. The model represents the main physical processes while minimizing input data requirements. The model was calibrated and validated using data from laboratory 2D stormwater infiltration trench experiments. Calibrations were undertaken using five different combinations of calibration data to examine calibration data requirements. It was found that storage water levels could be satisfactorily predicted using parameters calibrated with either data from laboratory soils tests or observed water level data, whereas the prediction of soil moistures was improved through the addition of observed soil moisture data to the calibration data set. Copyright © 2012 John Wiley & Sons, Ltd.