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I am trying to study the texture deformations caused when mapping a rectangle to a sphere, if I had a software that took an image as an input and displayed how it looks like when texture mapped to a sphere, it would allow me to observe and study this deformations better.

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  • $\begingroup$ There are many ways of texture mapping a sphere with a rectangle. It's pretty well researched under the term map projections $\endgroup$ – ratchet freak Nov 29 '17 at 9:56
  • $\begingroup$ Asking about how to write an algorithm to do this would be on topic, but software recommendation questions are not on topic on any Stack Exchange site, apart from Software Recommendations. $\endgroup$ – trichoplax Dec 1 '17 at 19:57
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Although this is borderline "off-topic" for the site, there is perhaps a simple answer:

Why not use a webgl approach such as this one? http://learningwebgl.com/lessons/lesson11/index.html (parent page here: http://learningwebgl.com/blog/?p=1253)

Just rotate the image of the moon around until you have one of the poles visible and you'll see the typical artefacts you get with mapping a rectangle to a sphere. Though I've not tried, you could probably modify the code (use, say, "view page source" to read it, or save a local copy and edit) to load whatever texture your heart desired.

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