I have this purple polygon illustrated in the figure below. I would like to split the polygon so that each line segment (green) split the polygon evenly with the surrounding line segments. A line segment is split at intersection points.
I have tried to illustrate by painting a red line where I think the polygon should be divided.
Is this a normal and simple process to do or does this require a lot of working?
The terms Voronoi and Delaunay comes to my mind, but I'm not sure if that is what I want here.
I'll try to describe how I think of evenly in this case. I want each green line segment to take its share of the purple polygon. It is equal to buffering the green line segments, but instead of creating one big polygon (just like the purple one) each buffered line segment continue to grow until it meet another one - just like inflating a lot of ballons in the same room, they can grow as long as there are vacant space.