How can I transform an ellipse into a circle?

Question

I have an ellipse which has -45 degree axis.

How can I transform the ellipse into a circle? Can I use shear transformation along the x/y axis?

Do you just require the outcome to be a circle (any size circle), or does the diagram indicate that you require specifically that size circle from that size ellipse? — trichoplax is on Codidact now, Apr 18 '19 at 20:40
The circle size can be arbitrary size. I just want the transformed into complete circle. thank you very much. — Ick-Sung Choi, Apr 19 '19 at 01:33

lightxbulb · Answer 1 · 2019-04-20T21:42:43.427

4

You can use a shear, or equivalently a rotation by 45, scale along one of the axes, rotate back (which is equivalent to the shear which you are looking for).

EDIT: On second thought, you don't need to even rotate back unless your circle is marked, since a circle is rotation invariant (if the rotation is around its center).

edited Apr 20 '19 at 21:42

answered Apr 16 '19 at 10:46

lightxbulb

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How can I transform an ellipse into a circle?

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