A VARIATIONAL APPROACH TO GEOMETRIC-OPTICAL ILLUSIONS MODELING

  • Werner Ehm

Abstract

A straight line may appear slightly curved when placed in a suitable context consisting, for example, of an array of curves intersecting it. To date there seems to be no commonly accepted theory for such geometric-optical illusions. Starting from the assumption that only the local target-context interactions matter, we propose a purely geometric approach which predicts some of the observed curvatures via a variational principle.

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