Pregled bibliografske jedinice broj: 1239412
Local Linear Scale Factors in Map Projections of an Ellipsoid
Local Linear Scale Factors in Map Projections of an Ellipsoid // Geographies, 1 (2021), 238-250 doi:10.3390/geographies1030014 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1239412 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Local Linear Scale Factors in Map Projections of an Ellipsoid
Autori
Lapaine, Miljenko
Izvornik
Geographies (2673-7086) 1
(2021);
238-250
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
map projection ; scale factor ; ellipsoid
Sažetak
The main problem in cartography is that it is not possible to map/project/transform a spherical or ellipsoidal surface into a plane without distortions. Distortions of areas, angles, and/or distances are immanent to all maps. It is known that scale changes from point to point, and at certain points the scale usually depends on the direction. The local linear scale factor c is one of the most important indicators of distortion distribution in the theory of map projections. It is not possible to find out the values of the local linear scale factor c in directions of coordinate axes x and y immediately from the definition of c. To solve this problem, in this paper we derive new formulae for calculation of c for a rotational ellipsoid. In addition, we derive the formula for computing c in any direction defined by dx and dy. We also considered the position and magnitude of the extreme values of c and derived new formulae for a rotational ellipsoid.
Izvorni jezik
Engleski
Znanstvena područja
Geodezija
