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Download A Horopter for Two - Smith-Kettlewell Eye Research Institute
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Transcript
A Horopter for TwoPoint Perspective Christopher W. Tyler Smith-Kettlewell Institute Perspective is an exact construction of the scene viewed from a particular location One-point perspective 3 3 2 1 1 2 One-point perspective distortion analysis by Jules de la Gournerie (1859) ‘Horned Perspective’ by Viator (Jean Pélérin) (1505) Roman Fresco with Two-Point Geometry Fra Angelico ‘The Martydom of St Mark’ (1433) 90º The vanishing two-point are 90° apart points for perspective at the eye 90º All pairs of lines through the two vanishing points have an angle of 90° in space Top view of observer and painting Euclidean Theorem ‘Fisherman’ by Homero Aguilar (2003) View from left side View from right side Conclusions • In general, any perspective picture gives an accurate representation only from its precise center of projection Conclusions • In general, any perspective picture gives an accurate representation only from its precise center of projection • One-, two- and three-point projections limit consideration to simplified scene structure Conclusions • In general, any perspective picture gives an accurate representation only from its precise center of projection • One-, two- and three-point projections limit consideration to simplified scene structure • If we restrict the issue of right angles, two-point perspectives have a semicircle of locations along which the projections of right angles is preserved Conclusions • In general, any perspective picture gives an accurate representation only from its precise center of projection • One-, two- and three-point projections limit consideration to simplified scene structure • If we restrict the issue of right angles, two-point perspectives have a semicircle of locations along which the projections of right angles is preserved • This semicircle passes through the two vanishing points Conclusions • In general, any perspective picture gives an accurate representation only from its precise center of projection • One-, two- and three-point projections limit consideration to simplified scene structure • If we restrict the issue of right angles, two-point perspectives have a semicircle of locations along which the projections of right angles is preserved • This semicircle passes through the two vanishing points Conclusions • In general, any perspective picture gives an accurate representation only from its precise center of projection • One-, two- and three-point projections limit consideration to simplified scene structure • If we restrict the issue of right angles, two-point perspectives have a semicircle of locations along which the projections of right angles is preserved • This semicircle passes through the two vanishing points • This semicircular locus may be called a ‘horopter’ for non deviation from right-angles in two-point perspective.
