Original scientific paper

Gauss-Krüger Projection as a Double Mapping

Miljenko Lapaine orcid.org/0000-0002-9463-2329 ; Faculty of Geodesy, University of Zagreb, Zagreb, Croatia

Abstract

In geodesy, Carl Friedrich Gauss is especially known for his map projection, which is called the Gauss-Krüger projection, and is in official use in many countries around the world, sometimes also known as the Transverse Mercator projection. It is less well known that Gauss also investigated other variants of conformal mappings of a rotating ellipsoid onto a sphere, and a sphere and an ellipsoid into a plane. In this paper, it is shown that the Gauss-Krüger projection can be interpreted as a double mapping: a conformal mapping of an ellipsoid onto a sphere and then a conformal mapping of a sphere into a plane. In this way, the name of this projection can be justified as transverse projection, since the aspect of projection is defined for projections of a sphere, not an ellipsoid. In addition, it is shown that the Gauss-Krüger projection is only one of the possible generalizations of the transverse Mercator projection of the sphere.

Keywords

Gauss-Krüger projection; Transverse Mercator projection; double mapping

Hrčak ID:

261113

URI

https://hrcak.srce.hr/261113

Publication date:

27.6.2021.

Article data in other languages: croatian

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