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How can I find the longest chord of a region?

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Hi, I am trying to find out the longest chord of a region. Also, I need to find out the chord that is perpendicular to the longest chord of that region. Thanks in advance.

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Image Analyst
Image Analyst on 7 Jan 2015
See my attached demo. In the image below, the red line is the line between the two points in the binary (white) blob that are farthest apart. The magenta line is the line cutting across the blob perpendicular to the longest line. Feel free to adapt it.
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Md
Md on 7 Jan 2015
Can you please explain, how did you find the vertical of the longest chord. It's a bit unclear to me. Thanks a lot.
Image Analyst
Image Analyst on 7 Jan 2015
I didn't find any vertical. I just went around to every point finding the distances to every other point using the Pythagorean formula. If you want the vertical extent, you can just subtract the y values of the end points.

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