Transformation of Lambert Conic Conformal Coordinates from a Global Datum to a Local Datum

This paper treats the problem of how to transform from global datum, for example, from the International Terrestrial Reference System (ITRS), to a local datum, for example, regional or national, for the practical case of the Lambert projection of the sphere or the ellipsoid-of-revolution to the cone. We design the two projection constants n(ϕ₁, ϕ₂) and m(ϕ₁) for the Universal Lambert Conic projection of the ellipsoid-of-revolution. The task to transform from a global datum with respect to the ellipsoid-of-revolution E_A,B² to local datum with respect to the alternative ellipsoid-of-revolution E_a,b², without local ellipsoidal height, is solved by an extended numerical example. Ideas in this paper could be of interest to those working with maps and coordinates transformation from global geodetic datum to local geodetic datum and vice versa, under the Universal Lambert Conic projection, and applicable to precise positioning and navigation, boundary demarcation and determination in the marine environment.     

一种建立局域无缝海图深度基准面的方法

根据海洋测绘中垂直基准构建的需求,提出了一种基于主成分-逐步回归分析的建立局域无缝海图深度基准面的方法。在此基础上,利用中国某海区多个验潮站深度基准面值及分潮调和常数振幅,建立了该海区局域无缝深度基准面值回归方程。实例计算表明,该方法所建立的局域海区无缝海图深度基准面值能够达到厘米级精度,可为海图深度基准面体系的重新构建提供技术支持。     

多波束数据处理中的UTM直角坐标与经纬度坐标转换技术

简要介绍了地图投影的一般概念,重点描述了UTM的优点及其与大地坐标之间的相互转换,该转换方法软件化后形成的技术可以为多波束数据后处理商业软件提供坐标转换的补丁技术。最后附上部分经实际检验的Fortran程序供参考。     

等角纬度与子午线弧长变换的直接表达式

为了便于实现等角方位投影与椭球等距离圆柱或圆锥投影之间的变换,借助具有强大符号运算功能的计算机代数系统Mathematica,推导出了等角纬度和子午线弧长之间变换的直接表达式,进一步将表达式改进为适合电算的形式,并将其系数统一表示为关于椭球偏心率e和椭球第三扁率n的幂级数形式。通过算例分析表明:基于第三扁率n的幂级数表达式具有更紧凑的形式和更好的收敛性,且导出公式的计算误差分别小于10^-7″和10^-8m,可以满足大地测量和地图制图计算精度要求。     

典型海湾区域海洋测绘中垂直基准的构建研究

以典型的海湾区域为例,基于可行实用原则并保证精度的情况下,对陆海垂直基准的传递和统一进行研究,结合平均海面传递和GPS高程拟合方法,构建了典型海湾区域统一的海洋测绘垂直基准,实现了海湾区域海洋测绘中海岸地形图和水深图的无缝拼接。通过实例研究表明:研究路线正确,选择方法可行,成果精度符合《规范》要求,满足海湾区域测图的需要。     

从1980西安坐标系到2000国家大地坐标系的坐标变换

对1980西安坐标系和2000国家大地坐标系的转换关系,给出了应用CASIOfx-4800P计算器由平面直角坐标反解地理坐标的计算程序。应用这项程序,实现了从1980西安坐标系到2000国家大地坐标系的坐标变换。根据计算结果及其在1∶2.5万地形图上的图解精度,1∶2.5万~1∶50万地形图上同名点的坐标差异很小,都在图解精度0.2mm以内,所以地图改版时只需改变坐标系的名称即可。     

Transformation of a wave energy spectrum from encounter to absolute domain when observing from an advancing ship

The article presents a practical approach to transform a wave energy spectrum from encounter domain to absolute domain. This problem has its specific relevance, when shipboard sea state estimation is conducted by the wave buoy analogy; notably for some particular implementation solving for the sea state directly in the encounter domain. In this context, the encounter domain is that observed from a ship when it advances in a seaway, whereas the absolute domain is that corresponding to making observations from a fixed point in the inertial frame. Spectrum transformation can be uniquely carried out if the ship sails “against” the waves (beam to head sea) but in following sea conditions there exists no unique solution to the problem. Instead, a reasonable approach valid for practical engineering must be applied, and the article outlines one viable solution that can be used to transform a wave spectrum from encounter to absolute domain. Specifically, two pseudo algorithms are presented, and good performance is achieved with both algorithms when they are tested at different operational scenarios.