Calculate polygon for given points

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I'm looking for a library or software package that will take a group of points and give me the bounding box for those points. I don't have a way of knowing beforehand which points are vertexes and which are inside the polygon. I don't care about the points inside the polygon.

Let's say I have the following points:

0, 0
0, 10
10, 10
10, 0
5, 5
5, 15


I expect to get back a set of:

0, 0
10, 0
10, 10
5, 15
0, 10


I'm having trouble coming up with good search terms for this problem; most of the solutions I'm finding would give me the bounding box--i.e. a rectangle of the min/max lat and lon. Rather I want a polygon with jagged edges.

These are going to be plotted on a Google (web) Map or written to a KML file. The server that I'm working with has PHP and NodeJS but I'm not opposed to working with other technologies for this project.


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