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     

双重投影在高速铁路测量中的应用分析

针对目前我国高速铁路测量采用的高斯投影独立坐标系每个投影带可控制范围太小,给施工带来很多不便的问题,提出了首先将椭球面经纬度投影至球面后再沿铁路线方向进行斜墨卡托投影的原理、方法和计算步骤,并通过算例分析其在高速铁路测量应用中的可行性,该投影方法与目前施工单位正在使用的高斯投影相比较具有明显的优点。     

引入差比关系法分析西北太平洋TOPEX/POSEIDON卫星高度计测高数据

TOPEX/POSEIDON(T/P)卫星高度计数据信息中存在周期成分混淆问题.对其中的一类混淆引入差比关系方法对混淆的分潮进行分离.卫星轨道交叉点资料包括升轨和降轨资料,资料量比沿轨点资料多1倍,经分析发现:在已有为期6a多的观测资料时间序列中,在沿轨处混淆的分潮如K₁和SSA在交叉点处不再混淆,可以直接分离.因此首先对交叉点资料进行调和分析.然后由交叉点的分析结果得到分潮间的差比关系,处理到相近的沿轨点处,从而得到沿轨点的调和常数.用引入差比关系方法,对西北太平洋海区6a多的T/P卫星高度计资料进行了潮汐分析,并与沿岸及岛屿验潮站资料进行了比较,所得结果较满意.     

北仑河口潮流和余流特征分析

北仑河口水动力状况复杂,受入海径流、潮汐、波浪、沿岸流、风应力等多种因子的共同影响.对北仑河口S1、S2站长序列的海流剖面资料进行数学统计、潮流调和分析和数字滤波,探讨其潮流特征和余流形成机制.分析结果表明:北仑河口潮流性质主要为不规则全日潮流;观测期间S1站实测涨、落潮最大流速分别为39、83 cm/s,S2站分别为52、44 cm/s.研究海域余流流速从表层往底层逐渐减小,其中S1站余流流速主要介于5～10 cm/s之间,流向集中在S-SW向,S2站主要介于0～5 cm/s之间,表、中层以NNE-ENE向为主,底层以偏W向为主.风应力是调查区表层与近表层余流形成的主导因素;西向沿岸流对调查区的余流也有较明显的作用;径流对调查区的S1站有一定的影响,但对S2站影响很小;潮致余流对调查区的余流贡献较小.     

基于T/P 和Jason-1 高度计数据的渤黄东海潮汐信息提取

对19 a 的TOPEX/POSEIDON(以下称T/P)和Jason-1 卫星高度计测高数据进行调和分析, 得到渤黄东海海域的8 个主要分潮(M2、S2、N2、K2、K1、O1、P1 和Q1)。提出一种将两类卫星高度计数据统一的方法, 消除了因两类卫星高度计校正算法等不同所导致的相互之间的偏差。变轨后的T/P与Jason-1 卫星加密了高度计对潮汐观测的空间分布。通过对交叉点处升轨与降轨的潮汐调和分析结果进行比较, 检验调和分析方法及高度计数据的可靠性; 将基于高度计数据的调和分析结果与验潮站资料进行比较, 以检验其正确性。4 个主要分潮(M2、S2、K1、O1)振幅之差的均方根介于1.0~1.8 cm, 迟角之差的均方根介于4.1°~7.8°。与已有研究结果相比, 调和分析结果的精确性有所提高。在此基础上, 综合变轨前后两类高度计测高数据的调和分析结果, 给出并分析了渤黄东海4 个主要分潮的同潮图。     

Global ENSO-streamflow teleconnection,streamflow forecasting and interannual variability

Abstract

El Niño Southern Oscillation (ENSO) has been linked to climate anomalies throughout the world. This paper presents an overview of global ENSO-streamflow teleconnection and identifies regions where the relationship may be exploited to forecast streamflow several months ahead. The teleconnection is investigated by fitting a first harmonic to 24-month El Niño streamflow composites from 581 catchments worldwide and the potential for forecasting is investigated by calculating the lag correlation between streamflow and two indicators of ENSO. The analyses indicate clear ENSO-streamflow teleconnections in many catchments, some of which are consistent across large geographical regions. Strong and regionally consistent ENSO-streamflow teleconnections are identified in Australia and New Zealand, South and Central America, and weaker signals are identified in some parts of Africa and North America. The results suggest that the ENSO-streamflow relationship and the serial correlation in streamflow can be used to successfully forecast streamflow. The streamflow forecasts can be used to help manage water resources, particularly in systems with high interannual variability in Australia, southern and drier parts of Africa and some areas of North America.     

顾及像面畸变的卫星视频稳像

卫星视频每帧影像外方位元素数值存在差别,相邻帧影像间的同名点在像面位置不同,且由于每帧影像均存在几何畸变,经典的帧间的投影变换模型、仿射变换模型等视频稳像的配准模型不能精确描述帧间的同名点关系。针对该问题,本文提出顾及像面畸变的卫星视频稳像算法,基于仿真的卫星视频,验证了该算法的可行性和精度。     

总体最小二乘法在相机标定中的应用

对比总体最小二乘方法与最小二乘方法在相机标定中的适用性及优越性。在相机标定中,由于像点坐标和对应的地面点坐标均存在误差,因此采用总体最小二乘方法对误差方程中的系数矩阵及观测向量同时改正,能够建立更加合理的计算模型。文中以相机标定两步法为例,通过实例解算,证明利用总体最小二乘法能够得到精度更高的相机标定参数解。     

O(T2)精度下椭球界面Dirichlet边值问题的积分解

研究了边界是参考椭球面的Laplace方程Dirichlet边值问题的求解,在O(ε4·T)精 度下给出了参考椭球界面上扰动重力位Dirichlet外问题的积分解式. 该结果理论上优于目 前常用的球近似下的积分解式,从而为研究物理大地测量中边值问题的求解提供了新的依据