Convert the white part of the log-spiral image to scatter the graph using MATLAB

I am new to MATLAB and this is the problem I am facing.

I have many spiral RGB images such as a galaxy, a cyclone, a chopped shell, etc., and I'm trying to fit a log spiral onto it. However, the installation accuracy of the spiral that I get is very low, and I need to increase the number of points on the graph to increase the installation accuracy.

EDIT: The input images are similar to the images in the link below (I manually drew a log curve), but made the curve to fit, and it doesn't fit properly.

those. the curve should be set, as shown in the figure below, automatically. enter image description here

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enter image description here

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Source: https://habr.com/ru/post/1546754/


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