I searched the Imagemagick documentation for this but could not find references to standard geographical map projections. There are other applications that do this, but not with IM's level of precision. "Matthews Map Projection software" is a good example. I wish to use IM in a script to demonstrate these projections applied to fictional world maps.
It seems such a natural thing for IM to cover. Considering all the other distortions available, maps would be right up its alley. example projections: mercator, mollweide, orthographic, gnomonic...
link to MMPS http://www.users.globalnet.co.uk/~arcus/mmps/
IM does not have cartographic projection functions yet.
Other open source software can suffice.
Matthews Map Projection Software
http://www.users.globalnet.co.uk/~arcus/mmps/
And xplanet
http://xplanet.sourceforge.net
Have command line options that are scriptable.
Displacement maps, the -fx function, and the -process function are other avenues.