How to connect lines in a skeletonized image with arcs

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I'm trying to find a way to have MATLAB connect the lines of the tripods in the first image (i.e., vertex_tripods.bmp) with arcs so that it looks something like the second image (i.e., vertex_tripods_connected.bmp). I would also like to have MATLAB calculate the angles of the tripods in the first image (with respect to the vertical axis). Thanks in advance for your help!

Answers (2)

darova on 12 Jun 2019
Use bwmorph() to find branch points. I sorted them in counter clock-wise order:
Find distance and center between neighbor points:
Assume arc radius is 1000 pixels. Draw perpendicular vector (length L) from center of a segment - get arc center p0
Rotate radius vector using angle and rotation matrix to get points on arc
darova on 12 Jun 2019
are those connections can be just straight lines?

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Steve on 12 Jun 2019
It should look like the second attached image (vertex_tripods_connected.bmp). In theory, the connections cannot be straight lines, but they can be arcs with very large radii.

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