export image in mapping toolbox with no deformation

I have a referenced image that I project using:

ax=worldmap([-18.5 0.5],[-82 -68]); setm(ax,'mapprojection','mercator') geoshow(im,R); then I exported it, I did it with print command. However when I read the exported image and make the referencing matrix using georasterref function the image show a distortion as you can see in the image I upload.

How can I export a matlab figure conserving its properties.

[Rob Comer]

Putting the "how" aside for a moment (exporting a figure may not turn out to be part of the solution), it would help to clarify the "what." You've set up a Mercator projection, which implies a specific projected coordinate reference system (PCRS) with its own x and y axes. It seems like you have an input "im" with regular samples in lat-lon, and you want to transform it geometrically to an image that is sampled regularly in the x-y system. Is that right?