给定纬度和经度计算地球凸包多边形面积 [英] Calculate Earth convex hull polygon area given latitude and longitude

问题描述

我搜索了有关如何计算地球多边形表面积的解释和算法.我找到了 this 和 这个
假设我已经得到了凸包点
<代码> [56.992666,24.126051]，[58.00282,25.930147]，[58.787955,25.565078]，[59.4997,24.861427]，[59.463678,24.711365]，[59.395767,24.599837]，[56.992666,24.126051]

从第二个链接开始，第一个答案使用 Python 库，即使我们假设地球是球体，第二个答案方法也不会给出非常精确的区域(我是对的)?如果我们假设地球是球体，我可以采用什么方法来计算面积(成本更低)?

此外，我寻找了不同的库(geotools.org 等)，但在他们的文档中没有找到关于面积计算的内容.

解决方案

可以在此处找到用于在球体上查找多边形面积的算法:
主题:一种计算球面多边形面积的方法

您也可以将这篇 NASA JPL 论文用于某些算法:

球面上多边形的一些算法.

I have searched for explanations and algorhitms how to calculate Earth's polygon surface area. I've found this and this
Lets say I got already convex hull points
[56.992666,24.126051], [58.00282,25.930147], [58.787955,25.565078], [59.4997,24.861427], [59.463678,24.711365], [59.395767,24.599837], [56.992666,24.126051]

From second link the first answers uses Python library and second answer approach won't give quite precise area even if we assume that Earth is sphere (am I right)? What approaches could I take for calculating the area (less expensive) if we assume that Earth is sphere?

In addition, I have looked for different libraries (geotools.org etc) but haven't found in their documentation about area calculation.

解决方案

The algorithm for finding the area of a polygon on a sphere can be found here:
Thread: A method to compute the area of a spherical polygon

You could also use this NASA JPL paper for some algorithms:

Some algorithms for polygons on a sphere.

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