Remotion of self-intersecting points

Now the simplifying algorithm I have created is perfect. Well ... at least I couldn't find a counter example in my massive and complex tests.

Self-crossing shapes are a nightmare for a lot of vector based algorithms. Now, after hard work, I can transform any self-crossing shape in a set of non self-crossing shapes keeping the original math properties.

The example is simple on purpose. It shows a very clear case of simplification.

First image shows the original polygon. Second image shows the result after using my algorithm. Each resulting polygon has a different border color.