I'd like to transform an image so that it can be mounted on a sphere. I'd like to use an image of a map (see the One Piece world map on the image), but it could be anything. Here is a kind of Family Picnic Photo that I could use, (this isn't my family, is just a Google result). I'd like to do this as a gift for my cousin on his birthday. I'm beginner on photo processing and manipulation and normally I use Linux, but every suggestion is welcome.
I would like a way to transform this image or photo into a "globular" image/photo, to put on something like this:
Is there any software that can do this for me? If not, how would I go about computing the necessary slices of my image to fit?