ABSTRACT

In map projections theory, various criteria have been proposed to evaluate the mean distortion of a map projection over a given area. Reports of studies are not comparable because researchers use different methods for estimating the deviation from the undistorted state. In this paper, statistical methods are extended to be used for averaging map projection distortions over an area. It turns out that the measure known as the Airy–Kavrayskiy criterion stands out as a simple statistical quantity making it a good candidate for standardization. The theoretical arguments are strengthened by a practical map projection optimization exercise.

中文翻译：

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统计重新解释和评估用于测量地图投影失真的标准

摘要

在地图投影理论中，已经提出了各种标准来评估给定区域上的地图投影的平均失真。研究报告没有可比性，因为研究人员使用不同的方法来估计与未扭曲状态的偏差。在本文中，扩展了统计方法以用于平均区域上的地图投影变形。事实证明，称为Airy-Kavrayskiy标准的度量标准是一种简单的统计量，使其成为标准化的理想选择。实际的地图投影优化练习可增强理论论据。