On subjective impressions or how to put numbers to visual illusions

Abstract

This paper presents a simple theory to analyze some of the more common visual illusions. The reported mathematical model is able to give some numerical results concerning well known phenomena as the Zollner, Muller-Lyer or Wundt illusions. We present two different approaches, the first one related with the symmetrical operations present in each image and the second one concerning a proposed vector field related with the lines present at the image