The two dimensional rendering of copies of renaissance art taking out the three dimensional perspective provided by modeling - planimetricism - on the face of it sounds technically inferior. It occurs in places like the Spanish colonies and the Slavic world, where artists were unfamiliar with conventions of 3-d rendering, such as overlapping, linear perspective (distant objects as narrower), and atmospheric perspective (showing farther objects as hazier). But psychology research has shown only people familiar with the convention see these monocular cues (visible with just one eye) as indicating depth (Myers 249). The renaissance way of rendering 3-d objects, particularly people, on a 2-d canvas, is not intrinsically building on how the brain constructs 3-d reality from 2-d images on the retina, but is just a convention which, like language, when taught early enough and often enough acquires the trappings of a self-evident truth.
Myers, David G. Psychology. 8th ed. New York: Worth, 2009. Print.