在给定纬度和经度的情况下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.我发现此和

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]

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形，第二个答案的方法也无法给出精确的区域(我是对的)吗? 如果我们假设地球是球形，我可以采取什么方法来计算面积(便宜些)?

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?

此外，我寻找了不同的库(geotools.org等)，但是在它们有关面积计算的文档中找不到.

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

推荐答案

可以在此处找到用于查找球体上多边形区域的算法:

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

您还可以将此NASA JPL论文用于某些算法:

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

一些球体上多边形的算法.

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