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How do I create some code that will check angles and select the next point to draw a line to based on smallest angle?

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I need to create the simplest code that will check the angles between a line connecting one central point and another and a line from the same initial central point to a triplet endpoint. I need the code to be able to select the correct central point to draw a line to based on smallest angle (see attached pics). Attached are the two files that contain the coordinates for the central points (f_points) and the endpoints (Triplets): The files are (1) F_points.mat (2) Triplets.mat
Below is the same image with lines being created:
Below is an image which gives an idea of what is needed:
Steve on 17 Oct 2019
Edited: Steve on 17 Oct 2019
Distance could be used to narrow down to a specific vicinity. Then, the angle that a potential line (between central points) would make with another line (from the the source central point to the corresponding endpoint) could be used to verify a line is correct. Is that what you did?

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Answers (1)

darova on 18 Oct 2019
Here is some start
What about these?
img1.png img2.png img3.png
See attached script
Steve on 20 Oct 2019
I see what you are pointing out there but, as mentioned previously, the blue line needs to also have a matching "twin" angle on the other end or it is disqualified (see attched pic).
Take a look at my picture in my previous comment...all the angles obey the rules.

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