Abstract

Two major uses of linear perspective are in planar paintings—the flat canvas is incongruent with the painted 3-D scene—and in forced perspectives, such as theater stages that are concave truncated pyramids, where the physical geometry and the depicted scene are congruent. Patrick Hughes pioneered a third major art form, the reverse perspective, where the depicted scene opposes the physical geometry. Reverse perspectives comprise solid forms composed of multiple planar surfaces (truncated pyramids and prisms) jutting toward the viewer, thus forming concave spaces between the solids. The solids are painted in reverse perspective: as an example, the left and right trapezoids of a truncated pyramid are painted as rows of houses; the bottom trapezoid is painted as the road between them and the top forms the sky. This elicits the percept of a street receding away, even though it physically juts toward the viewer. Under this illusion, the concave void spaces between the solids are transformed into convex volumes. This depth inversion creates a concomitant motion illusion: when a viewer moves in front of the art piece, the scene appears to move vividly. Two additional contributions by the artist are discussed, in which he combines reverse-perspective parts with forced and planar-perspective parts on the same art piece. The effect is spectacular, creating objects on the same planar surface that move in different directions, thus “breaking” the surface apart, demonstrating the superiority of objects over surfaces. We conclude with a discussion on the value of these art pieces in vision science.

Highlights

  • There are several cues that elicit the percept of depth in general [1,2] and from paintings on flat painted surfaces in particular [3,4]

  • Light green lines indicate painted—not physical—edges that denote house boundaries. These lines, together with the orthographic views, make it clear that the piece is composed of three “truncated prisms”, such as the one labeled ABCDEF, with their flat faces lying in the back and their sharp edge jutting toward the viewer. The originality of this technique lies in the fact that the painted edges—shown by light green lines—separate the houses into three distinct rows of houses with different perspective properties, as follows: The bottom and top rows contain houses, such as those marked as “1” and “3”, that are painted on concave surfaces; the linear perspective lines of these houses, combined with the convexity bias, provide strong cues for depth inversion and the concomitant illusory motion

  • Patrick Hughes has produced three main types of 3-D illusions, as described in the last three sections and illustrated in the figures of this paper. They deserve to be included in all compilations of classic illusions because of three main properties: (a) Their effect is impressive, as they transform concave, void, spaces into convex objects, as well as they transform convex volumes into void, hollow spaces by virtue of the scenes that are painted on them. (b) They can be obtained from a wide range of vantage points and viewing distances, even under binocular viewing, unlike some classic illusions such as the Ames Room [28,29] and the Ames Chair [30,31,32], which require that they be viewed only monocularly and from a single vantage point

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Summary

Introduction

There are several cues that elicit the percept of depth in general [1,2] and from paintings on flat painted surfaces in particular [3,4]. All the painter must do is to match the color of the real-world point that originated the line of sight and paint its corresponding virtual point on the plate with that color. The pattern of retinal activation produced by the painted plate is the same as that produced by the scene itself (parenthetically, this ray-tracing method is used in computer graphics algorithms [23]) This process gives rise to the rules of linear perspective, first formulated by Brunelleschi [18,24,25,26,27,28,29,30,31,32,33,34,35,36] and perfected by painters over the years. Limited space does not allow us to provide an extensive review of this literature

First Major Contribution
Left is painted painted on a
Second Major Contribution
Third Major Contribution
Discussion
The Influence of Prior Experiences on Visual Perception
Clinical Applications
Perception Under Self-Motion–Visuo-Motor Response
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