What algorithm allows me to calculate the set of all points inside a polygon?

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Imagine I have a polygon, which represents the countours of a building on an integer 3D map (everything is a 1 meter by 1 meter block in that map). In the image below, you see several buildings without roofs.



In order to draw the roofs, I need to know what points are inside the polygon.

What algorithm can I use for that?

People mentioned convex hull, but it gives me the polygon, which I already have.



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