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Avtometriya

2006 year, number 6

On anisotropic visual space model

A. M. Kovalev
Institute of Automation and Electrometry, SB RAS Novosibirsk
E-mail: kovalev@iae.nsk.su
Pages: 47-54

Abstract

Projective mapping of physical space on the spheroid domain, that is, a hyperbolic Hilbert space model, is considered. Straight lines, diameters, perpendiculars, distances, and angles on the Hilbert plane are determined. An image of visual space inside the spheroid is shown as well as its conformal mapping on the Poincare model. A formula for apparent size of the Moon elevated over the horizon is presented.