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Simple and highly accurate formulas for the computation of Transverse Mercator coordinates from longitude and isometric latitude 总被引：2，自引：0，他引：2
A conformal approximation to the Transverse Mercator (TM) map projection, global in longitude λ and isometric latitude q, is constructed. New formulas for the point scale factor and grid convergence are also shown. Assuming that the true values
of the TM coordinates are given by conveniently truncated Gauss–Krüger series expansions, we use the maximum norm of the absolute
error to measure globally the accuracy of the approximation. For a Universal Transverse Mercator (UTM) zone the accuracy equals
0.21 mm, whereas for the region of the ellipsoid bounded by the meridians ±20° the accuracy is equal to 0.3 mm. Our approach
is based on a four-term perturbation series approximation to the radius r(q) of the parallel q, with a maximum absolute deviation of 0.43 mm. The small parameter of the power series expansion is the square of the eccentricity
of the ellipsoid. This closed approximation to r(q) is obtained by solving a regularly perturbed Cauchy problem with the Poincaré method of the small parameter.
Electronic supplementary material The online version of this article (doi:) contains supplementary material, which is available to authorized users. 相似文献
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作为一代科学宗师,陈述彭先生是我国遥感地学分析的先驱、是遥感应用研究的开创者,陈述彭先生的逝世,不仅是我国遥感界甚至整个科学界的一大损失。值此逝世一年之际,回顾陈先生开创和繁荣遥感事业的历程,深刻缅怀陈述彭院士在推动我国地理学、地图学、遥感应用、地理信息系统等学科发展中的卓越贡献,以表达我们对他的敬意。 相似文献
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