Figure 4.

Effect of vanishing distance on perception of distance and size. (a) Perceived distance Z_v computed as a function of physical distance Z_p for a number of distances of the vanishing point VP. (b) Size of the comparison stimulus S_pc relative to size of the standard S_ps computed as a function of physical distance Z_p for a number of distances of the vanishing point VP. Z_v, Z_p, and VP are distances expressed in meters. Although both physical space and perspective space are rectilinear (flat), the perspective transformation of the noninfinite vanishing point implies that the relationship between distances in the two spaces represented in these plots is curvilinear.