Why is it that if I try to fill a strange polygon it comes out of the edges?

Hi, I have a somewhat strange polygon with overlaps and in this case I am experiencing problems, which in all other cases I don't, in filling it. Could you guys help me solve it?

x0 = [45;45;50;50;50;50;50;55;55;55;55;55;55;55;55;55;55;55;55;55;55;55;55;50;50;50;50;50;45;45];
y0 = [1.6;2.2;1.9;1.9;2.1;2.2;2.2;1.6;1.6;1.6;1.6;1.6;1.6;1.9;2.1;2.3;2.1;2;2;2;2;2;2;2.4;2.4;2.3;2.1;2.1;2.4;2];
plot(x0,yo)
fill(x0,y0,'r')

[Jan]

What does "I am experiencing problems" exactly mean? It is hard to guess, what you consider as problem.

What about onverting the polygone such that it does not overlap anymore?

[Luca Terzo]

In the sense that I see an outer part of the polygon being filled, while I would like only the inner part of the closed lines to be filled. I cannot modify the polygon at will since it is obtained by calculating certain metrics

[Luca Terzo]

I have other case scenarios of polygons in overlaps where the problem does not arise like this one:

Answer 1

[Star Strider]

Using polyshape is one option, and likely the only approach that would work here —

x0 = [45;45;50;50;50;50;50;55;55;55;55;55;55;55;55;55;55;55;55;55;55;55;55;50;50;50;50;50;45;45];
y0 = [1.6;2.2;1.9;1.9;2.1;2.2;2.2;1.6;1.6;1.6;1.6;1.6;1.6;1.9;2.1;2.3;2.1;2;2;2;2;2;2;2.4;2.4;2.3;2.1;2.1;2.4;2];

ps = polyshape(x0,y0);

Warning: Polyshape has duplicate vertices, intersections, or other inconsistencies that may produce inaccurate or unexpected results. Input data has been modified to create a well-defined polyshape.

figure
plot(x0,y0)
hold on
plot(ps, 'FaceColor','r')
hold off

Experiment to get different results.

.

[Luca Terzo]

Thank you very much!

[Star Strider]

As always, my pleasure!