高斯-克吕格投影反解的数值变换方法分析

数值变换方法是地图投影变换的重要方法之一。在介绍数值变换常用方法的基础上,针对高斯-克吕格投影的反解变换进行具体实验,并对各方法变换精度与稳定性进行对比分析。     

高斯-克吕格投影与横切圆柱透视投影的比较

给出高斯－克吕格投影的推导思路、方法以及透视投影的详细推导过程，并提供两种投影的推导结果：一组实用的高斯－克吕格投影公式和一组透视投影公式。文章的最后对两种投影的异同进行比较。     

高斯-克吕格投影的双幂级数展开及实用计算式

本给出了ⅠBⅠ≤53．5°，ⅠLⅠ≤3．5°时高斯-克吕格投影的双幂级数计算式，计算精度达到δχ，δy<0．001m；δB，δL<0．0001″。该计算式具有形式简单，计算效率高，适合于微型计算机和袖珍计算器计算的特点。     

A DIRECT METHOD OF TRANSFORMING RECTANGULAR COORDINATES FROM THE CASSINI PROJECTION TO THE GAUSS CONFORMAL PROJECTION

Abstract

6. Further Expansions.—Equations (4.3) and (5.5) enable a computer to transform coordinates from the Cassini projection to the Gauss projection without recourse to geographical coordinates. If applied to one or two points, no doubt these equations would be quite satisfactory; but if applied to 100,000 points their use would be laborious and it would be difficult to adapt them to machine computing.     

A DIRECT METHOD OF TRANSFORMIG RECTANGULAR COORDINATES FROM THE CASSINI PROJECTION TO THE GAUSS CONFORMAL PROJECTION

Abstract

I. Introduction.-For some little time the Ordnance Survey was engaged upon the problem of transforming the rectangular coordinates of trigonometrical stations from the Cassini projection to the Gauss Conformal projection. The problem was complicated by the fact that the Cassini projection, as is well known, was applied to a number of meridians of origin, a different meridian being used for a county or a group of counties. It was proposed, however, to have only one meridian for the Gauss projection and to drop the county meridians completely. In both projections the northings were measured from the same parallel.     

A PROJECTION METHOD OF MAPPING FROM AIR PHOTOGRAPHS

Abstract

An instrument was previously described in the Transactions of the Royal Society of S. Africa for the setting of pairs of photographs, taken from air stations, in correspondence; that is, in the same relative positions that the camera occupied in space at the moments of exposure. The principle of the instrument may be recalled.     

Rosenbrock法在坐标转换中的应用

分析了旋转参数对线性化坐标转换模型的影响大小,提出了利用Rosenbrock法求定坐标转换参数的一种新方法,实现了旋转参数偏大时的坐标转换.     

应用高斯-克吕格投影解大地主题的初步意见

近代无线电测距的发展,使长距离的大地主题解算问题逐日地显得更为重要了;而应用投影到平面的方法来进行解算,近年来除德国Draheim氏有所研究外,文献还是较少的。因此本文就高斯-克吕格投影的方法来进行主题解算作一讨论,所提出的公式适应于600-800公里,在最后一节中还指出,这种方法用在短距离(120km以下)时,也是十分优越的。     

TRANSFORMATION OF RECTANGULAR CO-ORDINATES ON THE TRANSVERSE MERCATOR PROJECTION

Abstract

The necessity of transforming rectangular co-ordinates from one system of projection to another may arise from, various causes, One case, for example, with which the present writer is concerned involves the transformation, to the standard belt now in use, of the co-ordinates of some hundreds of points of a long existing triangulation projected a quarter of a, century ago on a, belt of Transverse Mercator projection, In this case conversion is complicated by the fact that the spheroid used in the original computation differs from that now adopted, and, also, the geodetic datums are not the same, The case in fact approaches the most general that can occur in practice, One step in one solution of this problem, however, is of perhaps wider Interest: that is, the transformation from one belt of Transverse Mercator projection to another when the spheroids and datums are identical. It is this special case which will be discussed here.     

南极IGS跟踪站观测所得的坐标时间序列

介绍了南极洲和南极洲上的IGS跟踪站的概况,处理了其2006年和2007年的GPS观测数据,分析了坐标分量的时间序列及各站的运动趋势。     

以球面椭圆坐标为参数的等角投影的探求

本文利用等量坐标与等角投影之间的关系,以Guyou椭圆坐标为例,求得其等量坐标,并进一步导出相应的等角投影方程。该方法为新投影的探求,开辟了广阔的前景。     

地心坐标转换的分极小法

本文提出了顾及时变因素影响的地心坐标转换方法，即考虑地壳形变影响的分极小法和模型的识别方法，这一方法应用于地面网点坐标的转换还能拟合网中其它局部性系统偏差。分极小法是通过寻找模型运用的区域来实现的，在该区域内模型能拟合各种系统性偏差，故该方法为我国地面网地心坐标转换精度达到极限（即仅取决于区域内网的相对偶然误差）提供了理论基础。文中介绍了基于该方法开发的实用系统并报告了实算结果。     

10参数正形变换法在江门市坐标转换中的应用

从现有江门独立坐标系及坐标转换公式着手,分析了江门独立坐标系与54北京坐标系的相互转换,提出了10参数正形变换方法,并进行了转换计算结果验证及精度分析.