KoG, Vol. 2 No. 2, 1997.
Izvorni znanstveni članak
Hyperbolic Perspective I
Ivanka Babić
; Građevinski fakultet Sveučilišta u Zagrebu, Zagreb, Hrvatska
Branko Kučinić
; Građevinski fakultet Sveučilišta u Zagrebu, Zagreb, Hrvatska
Sažetak
In the hyperbolic space the central projection is considered, adjusted to the perspective, by defining the image plane and centre of projection, and the reference plane perpendicular to the image plane. This is the analogy of the so called piercing point method in the Euclidean space supplemented by indefinitely distant elements. The analogue of the method of Monge in H3-space realised on M-model enables necessary constructive procedures. The position and metric relations associated with the reference plane are also worked out thoroughly. Thus, the whole procedure is prepared to be applied.
Basic differences from the perspective of Euclidean space are: h-horizon is hyperbola, there is avoidable hyperbola instead of avoidable line, and the pencils of parallel lines in the plane (1 can be projected into the elliptic, parabolic and hyperbolic pencils (Theorem 3).
Ključne riječi
hyperbolic space; H-model; central projection; perspective; piercing point method
Hrčak ID:
166349
URI
Datum izdavanja:
20.1.1998.
Posjeta: 1.473 *