Is there any way to project certain matrix into the x, y coordinate system?

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I have a question regarding to image analysis.
Here, I have a image like this black and white image (or matrix).
My final goal is find a best fit ellipse for the white area.
However, right now, I'm struggling how to find an ellipse equation, x2/a2+y2/b2=1 just in this matrix.
So, when we suppose center of the image as a center of the ellipse, is there any way to convert this image into x, y coordinate system or simpler way to find ellipse equation?

Accepted Answer

Walter Roberson
Walter Roberson on 15 Sep 2022
Edited: Walter Roberson on 15 Sep 2022

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