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## Determination of Standard Parallels Based on Parameters of Normal Aspect Conical Projections

Lapaine, Miljenko; Triplat Horvat, Martina
Determination of Standard Parallels Based on Parameters of Normal Aspect Conical Projections // 5th International Conference on Cartography and GIS Proceedings, Vol. 1 and Vol. 2 / Bandrova, Temenoujka ; Konecny, Milan (ur.).
Sofia, Bulgaria: Bulgarian Cartographic Association, 2014. str. 143-153 (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)

Naslov
Determination of Standard Parallels Based on Parameters of Normal Aspect Conical Projections

Autori
Lapaine, Miljenko ; Triplat Horvat, Martina

Izvornik
5th International Conference on Cartography and GIS Proceedings, Vol. 1 and Vol. 2 / Bandrova, Temenoujka ; Konecny, Milan - Sofia, Bulgaria : Bulgarian Cartographic Association, 2014, 143-153

Skup
5th International Conference on Cartography and GIS

Mjesto i datum
Riviera, Bugarska, 15-21. 06. 2014

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Cartography; conic map projections; standard parallels

Sažetak
The following normal aspect conic projections are analysed in detail: conformal, equal-area, equidistant along meridians, equidistant along parallels and gnomonic perspective. Parameters which fully define a map projection are determined by setting certain conditions which have to be met. These conditions are usually expressed using relations which the linear scale has to meet. Then, projection parameters are obtained which are usually expressed with latitudes corresponding to standard parallels, i.e. parallels along which there is no distortion in the projection. This paper emphasises on a reverse procedure: one has to determine standard parallels for known projection parameters. It is shown that the problem is reduced to solving a non-linear equation (for conformal projections and equidistant conic projections along meridians) or quadratic equation (for equal-area projections). This is equivalent to finding a root of appropriate functions. Special emphasis is put on normal aspect conic projections with only one standard parallel. It is demonstrated that the normal aspect conic projection which is equidistant along parallels and the normal aspect conic gnomonic projection can only have one standard parallel, while the conformal, equal-area and equidistant along meridians projections can have two such parallels.

Izvorni jezik
Engleski

Znanstvena područja
Geologija, Geodezija