Many stock photo sites sell images like this. If you compare these you see they are digitally enhanced or that digital elements have been added, some sites say e.g. for your photo Elements of this image furnished by NASA.**
They attribute the copyright to 'Antartis' or 'Antartis Professional Photography'. This appears to be Anton Balazh from St. Petersburg, Russia.
He made these kinds of 'relief maps'.
Here is his Russian website, last updated in 2003, where he calls himself a designer (on his site he only shows advertisements he designed)
He currently is more active on social media, you can e.g. ask him via his Twitter account if you want to know how he made these exactly.
'Original'* versions of this picture are also floating around, e.g. here. Some of these refer to Anton Balaz's ShutterStock account (also named antartis).
Indeed, you can find your photo there with and without the light enhancements.
* As Common Guy says in his answer, even those have their height exaggerated
** I was unable to find it on NASA sites