intersection points of array of lines with data

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Hi all, thanks for the help so far. How can I get the coordinates of the points of intesection of these array of orthogonal lines with my data shown below. The data is plotted with red dots and the lines are in blue (200 lines).
Thanks in advanceCapture.PNG
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DAMILOLA BALOGUN
DAMILOLA BALOGUN 2019-10-25
I was trying to find the thickness variation of the data plotted with red dots. I used each of the 200 orthogonal lines to intersect the data at two points each. the distance between each intersection should be the thickness. Anyway I have used the ginput(n) command with the mouse to get the points of intersection. I wish theres another faster way though.
Thanks for your responses Darova and Fabio

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