How to apply a conformal map to a jpg (or other image) [duplicate]

I would like to apply a conformal map to a jpg. For example, the map $z\mapsto z^2$ to this image:

http://thumbs3.ebaystatic.com/d/l225/m/mGyeriV7l-YArkeBd9oMUng.jpg

Any help on how to do this?

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marked as duplicate by J. M.♦Aug 9 '15 at 11:46

Possible duplicate: How can this image (optical illusion) be created with Mathematica? (esp. Sum it's answer) – R. M. Mar 6 '14 at 21:50
ImageTransformation[ Import["http://thumbs3.ebaystatic.com/d/l225/m/mGyeriV7l-\ YArkeBd9oMUng.jpg"], #^2 &, DataRange -> {{-1, 1}, {-1, 1}}] – Dr. belisarius Mar 6 '14 at 23:31
You might be interested in this: facstaff.unca.edu/mcmcclur/blog/QuadraticCamera.html – Mark McClure Mar 7 '14 at 2:42
Thanks -- both of these comments help. – Bart Snapp Mar 7 '14 at 14:45

Use ImageTransformation. Check the documentation for many examples.

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