Alleys on an apparent frontoparallel plane
In the author's article, ibid. 19, 221-258 (1979; Zbl 0441.92024), equations were presented for a plane appearing frontopaallel in the three-dimensional visual space and for two alleys on that plane which run horizontally in the following way: an alley that appears straight and parallel (Hh) and an alley that appears to be separated by a constant interval (Dh). This is an extension of traditional parallel and equidistant alleys which run toward the subject on the horizontal plane. As was done by \textit{R. K. Luneburg} [see: Mathematical analysis of binocular vision. Princeton (1947); and Studies and essays, pres. to Courant, 215-240 (1948; Zbl 0033.090)] for these alleys, the equations were defined in the Euclidean map (EM) under the assumption that visual space is a Riemannian space of constant curvature K. In the present article, the general definition of perceptually straight lines in EM is discussed and, on the basis of this representation, new equations for Hh and Dh are given. Previous and present sets of equations give the same qualitative predictions as to the behavior of Hh and Dh, but two predictions are quantitatively different.
general definition of perceptually straight lines
scientific article; zbMATH DE number 4066703
scientific article