How can I simplify the polygon?

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Tony Carl
Tony Carl on 27 Apr 2018
Edited: Tony Carl on 27 Apr 2018
The polygon above is got after I shrank a rectangle. However, The meaningless branches are not desired. How can I remove them and split it into polygons that are independent to each other?
  2 Comments
Tony Carl
Tony Carl on 27 Apr 2018
Edited: Tony Carl on 27 Apr 2018
For illustration, the data of the polygon and an example figure is shown below, plotted by code:
plot(data(:,1),data(:,2),'bo-');
Tony Carl
Tony Carl on 27 Apr 2018
Edited: Tony Carl on 27 Apr 2018
The data pack of the polygon.

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Answers (1)

Ahmet Cecen
Ahmet Cecen on 27 Apr 2018
Well purely speculating, assuming you have a binary image with those lines:
FilledPolygons = imfill(PolygonImage,'holes');
OnlyPolygonsFilled = FilledPolygons - PolygonImage;
OnlyPolygonEdges = edge(OnlyPolygonsFilled);
  3 Comments
Ahmet Cecen
Ahmet Cecen on 27 Apr 2018
You will need to clarify a bit more. Maybe show your actual data etc.
Tony Carl
Tony Carl on 27 Apr 2018
An example figure and its relevant data are appended below the question.

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