Open AccessGibson and Pictures in Perspective: Reverse the Directions
Author(s) -
John M. Kennedy
Publication year - 2021
Publication title -
i-perception
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.64
H-Index - 26
ISSN - 2041-6695
DOI - 10.1177/20416695211047259
Subject(s) - perspective (graphical) , cube (algebra) , projection (relational algebra) , plane (geometry) , projection plane , point (geometry) , tile , mathematics , parallel projection , geometry , distortion (music) , unit cube , perspective distortion , computer graphics (images) , computer science , art , visual arts , computer vision , algorithm , image (mathematics) , telecommunications , orthographic projection , amplifier , bandwidth (computing)
In his extensive writing about pictures, James J. Gibson offered perspective formulae for square tiles projecting trapezoids onto a picture plane, foreshortening to zero height with distance. I reverse the claim: as distance decreases, the trapezoids increase to infinite height, in marginal distortion, or forelengthening. I also reverse the direction of projection. Usually considered to be incoming, from the distant tile to the picture plane, in reverse—outgoing—the tiles have directions from the center of projection, with implications for haptics and people who are blind. A drawing of a cube illustrates the argument. It is by an adult who is blind. It includes foreshortening, and shows directions of surfaces from a vantage point.