I found an easy answer for a quick fix for anyone else interested. There's a Photoshop plugin called Flexify 2 that will allow you to convert a Mollweide image to equirectangular image which seems to do the trick.
Thanks, e.bar.goum, I saw those and yes that is the format I was looking for but I need the dipole, quadrupole and octopole in the same format like the image below but in the cartesian projection format instead of the mollweide:
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Does anyone know where I might find WMAP and/or Planck maps of the dipole/quadrupole/octupole images that were done using the cartesian cylindrical projection? I've been able to find them in the standard Mollweide projection via Google images but can't seem to find any that were made with the...