A basic example of this is Figure 87, on page 114 of the Arnheim reading.  It depicts a tracing of a painting by Oskar Schlemmer, from a side vantage point.  The image is of three people sitting around a rectangular table, but because of the vantage point, the table appears more trapezoidal than rectangular.  Despite this, the viewer immediately understands that the trapezoidal shape is a table, and furthermore, that the table is rectangular.  In doing this, we are perceptually bypassing the more obvious category  (trapezoid)  and matching it to a category that is further removed from the actual shape of the image itself (rectangle).  The goal of this process is to convert a distorted image into a more coherent one, and to perceptually correct any visual ambiguities that might impact the degree of clarity with which we view the image.  
A square may well be the most effective solution to representing squareness, but various vaguely square-like shapes can also effectively represent a square.  There is room in art for perceptual distortion, because the eye naturally corrects it.  With this understanding, I have difficulty agreeing with Arnheim that "Western art has suffered a serious loss...in relinquishing directness."  He seems to think that distortion should only be present in an image if it has a purpose. While I agree that distortion should not be sloppily unintentional, or the product of an artist's self-indulgence, I do think that that art can impact a viewer on a visceral level while depicting an completely unidentifiable image.  It seems that Arnheim believes that the purest version of an image can never be represented by abstraction, and I disagree with that.  I don't feel that art should necessarily be translatable, and that its impact does not need to be understood in order to be felt.  I think that, if we viewers can make a trapezoid into a rectangle, we can meaningfully experience an artwork while remaining completely unoriented in it.
 
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