椭球谐和球谐系数之间一个简单的转换关系     

梁磊  于锦海  万晓云 《测绘学报》2019,48(2):185-190

本文推导的椭球谐系数和球谐系数相互之间转换关系的核心思想是在ε~2量级下利用Legendre函数的正交性,从球谐系数求解的积分表示出发,将积分中的椭球坐标变量与球坐标变量相互转换,从而得出椭球谐系数与球谐系数之间的转换关系。本文导出的转换关系有以下优点:①对于第二类Legendre函数的计算采用Laurent级数表示,使计算第二类Legendre函数更为简单;②保留了ε~2量级下,导出的转换关系相比文献[2]的形式更简单,满足物理大地测量边值问题线性化的要求;③顾及了余纬和归化余纬的区别。  相似文献   

球面交切法地震定位   总被引：10，自引：2，他引：8  

廉超  李胜乐  董曼  蔡永建  张卫华 《大地测量与地球动力学》2006,26(2):99-103

提出了适合于近震及远震定位的球面交切法。该方法在球面上直接进行交切运算,只要知道3个以上台站的S-P到时差(或只要根据震相求出震中距)就能快速定出震中位置,台网布局、震源深度、发震时刻对震中定位的影响较小。使用该方法对三峡水库蓄水以后发生的较大地震进行了精确定位,结果表明其应用效果较好。  相似文献   

Implementation of the semi-Lagrangian advection scheme on a quasi-uniform overset grid on a sphere   总被引：4，自引：0，他引：4  

李兴良  陈德辉  彭新东  肖锋  陈雄山 《大气科学进展》2006,23(5):792-801

The semi-Lagrangian advection scheme is implemented on a new quasi-uniform overset （Yin-Yang） grid on the sphere. The Yin-Yang grid is a newly developed grid system in spherical geometry with two perpendicularly-oriented latitude-longitude grid components （called Yin and Yang respectively） that overlapp each other, and this effectively avoids the coordinate singularity and the grid convergence near the poles. In this overset grid, the way of transferring data between the Yin and Yang components is the key to maintaining the accuracy and robustness in numerical solutions. A numerical interpolation for boundary data exchange, which maintains the accuracy of the original advection scheme and is computationally efficient, is given in this paper. A standard test of the solid-body advection proposed by Williamson is carried out on the Yin-Yang grid. Numerical results show that the quasi-uniform Yin-Yang grid can get around the problems near the poles, and the numerical accuracy in the original semi-Lagrangian scheme is effectively maintained in the Yin-Yang grid.  相似文献   

球面小波模型在GPS高程拟合中的应用     

周贻港  孙罗庆  李中洲 《测绘通报》2020,(12):97-100

本文利用某地共99个GPS水准点的大地高和正常高求取高程异常,使用DOG球面小波模型和多面函数,分别对高程异常进行拟合。拟合时剔除模型残差大于2倍中误差的点,并在剔除粗差后重新进行拟合。通过比较外部检核点的已知高程异常值和球面小波模型值、多面函数拟合值之间的均方差评价模型的精度。数据结果表明,以外部检核均方差最小为准则,球面小波模型拟合精度较优,其拟合精度为1.65 cm,多面函数拟合精度为2.35 cm。  相似文献   

Using three-dimensional discrete spherical Fourier descriptors based on surface curvature voxels for pollen particle recognition     

谢永华  Michael OhEigeartaigh 《海洋学报(英文版)》2010,29(11)

  相似文献   

非球形轴对称粒子光散射的散射矩阵元素展开系数的数值计算     

丁继烈  许丽生 《成都信息工程学院学报》1999,(3)

扼要地介绍了非球形粒子光散射的散射矩阵元素按广义球函数展开的基本理论,以及球形粒子散射矩阵元素间的关系。在此基础上较详细地阐述了计算展开系数的方法以及在程序研制中所遇到的一些问题。最后,对非球形的Ｃｈｅｂｙｓｈｅｖ粒子光散射的散射矩阵元素的展开系数进行了计算,结果表明数值技术和计算的正确性。  相似文献   

大气负荷对新疆地区地壳形变和地面重力变化的影响     

王海涛  王斌  王伟  章传银 《大地测量与地球动力学》2019,39(2):189-194

基于ECMWF全球大气模型和中国地面气候资料日值数据集中新疆及周边的气象站气压数据,根据弹性地壳形变理论,采用移去-恢复法,利用负荷格林函数法和球谐函数法,计算新疆及周边区域2011～2015年大气负荷变化对地壳垂直、水平形变的影响,同时采用大气导纳方法计算大气变化对地面重力的影响。结果表明,大气负荷对新疆地区垂直形变的影响达到cm级,对地面重力的影响可达10μGal;大气负荷影响具有明显的季节性。  相似文献   

青藏高原东南缘现今地壳形变与多尺度应变率场特征     

陈斌  瞿伟  张勤  王庆良  郝明 《大地测量与地球动力学》2022,42(10):1047-1055

利用青藏高原东南缘1999~2007年与2011~2017年高精度GNSS监测资料,充分顾及GNSS测站非均匀分布的特性,构建青藏高原东南缘地壳形变多尺度球面小波模型,定量分析汶川强震前后该区域地壳形变与不同空间尺度下地壳应变率场变化特征。研究结果表明,汶川强震前后研究区整体地壳运动具有一定继承性发展特征,均在龙门山、安宁河、则木河与小江断裂处形成明显的速度差异梯度带,且高应变率值也主要聚集在上述主干断裂及附近区域;汶川强震后,研究区域整体地壳运动速率量值,特别是龙门山断裂带西北侧地壳运动速度量值显著增大,羌塘、巴颜喀拉与川滇地块也呈现出加速向南东运移并推动华南块体的趋势。不同尺度下的应变率场反映出不同空间范围下区域应变积累特征,青藏高原东南缘区域在尺度因子q=7时的计算结果是合理的（合理的最大尺度因子）;当尺度因子q=6时,能较好地揭示出区域整体构造活动特性,即清晰地揭示出汶川强震后龙门山断裂处呈现出的显著主压应变、面压缩与最大剪应变率高值特征;当尺度因子q=3~7时（最佳组合尺度因子）,可较好地综合揭示出区域地壳大尺度（整体）形变与局部形变特征。汶川强震后,研究区域主干断裂带,特别是震中及其附近区域地震活动性显著增强。  相似文献   

Triangulated spherical splines for geopotential reconstruction     

M. J. Lai  C. K. Shum  V. Baramidze  P. Wenston 《Journal of Geodesy》2009,83(8):695-708

We present an alternate mathematical technique than contemporary spherical harmonics to approximate the geopotential based on triangulated spherical spline functions, which are smooth piecewise spherical harmonic polynomials over spherical triangulations. The new method is capable of multi-spatial resolution modeling and could thus enhance spatial resolutions for regional gravity field inversion using data from space gravimetry missions such as CHAMP, GRACE or GOCE. First, we propose to use the minimal energy spherical spline interpolation to find a good approximation of the geopotential at the orbital altitude of the satellite. Then we explain how to solve Laplace’s equation on the Earth’s exterior to compute a spherical spline to approximate the geopotential at the Earth’s surface. We propose a domain decomposition technique, which can compute an approximation of the minimal energy spherical spline interpolation on the orbital altitude and a multiple star technique to compute the spherical spline approximation by the collocation method. We prove that the spherical spline constructed by means of the domain decomposition technique converges to the minimal energy spline interpolation. We also prove that the modeled spline geopotential is continuous from the satellite altitude down to the Earth’s surface. We have implemented the two computational algorithms and applied them in a numerical experiment using simulated CHAMP geopotential observations computed at satellite altitude (450 km) assuming EGM96 (n _max = 90) is the truth model. We then validate our approach by comparing the computed geopotential values using the resulting spherical spline model down to the Earth’s surface, with the truth EGM96 values over several study regions. Our numerical evidence demonstrates that the algorithms produce a viable alternative of regional gravity field solution potentially exploiting the full accuracy of data from space gravimetry missions. The major advantage of our method is that it allows us to compute the geopotential over the regions of interest as well as enhancing the spatial resolution commensurable with the characteristics of satellite coverage, which could not be done using a global spherical harmonic representation. The results in this paper are based on the research supported by the National Science Foundation under the grant no. 0327577.  相似文献   

离散位场数据格网化方法探讨   总被引：1，自引：0，他引：1  

方杨 《测绘信息与工程》2009,34(6):46-48

针对均衡异常数据,比较分析了连续曲率张力样条方法、最小曲率方法和Shepard方法,结果表明张力样条方法解的全局效果较好。  相似文献