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Conformal Mapping of a Rotational Ellipsoid to a Sphere. On the occasion of the proclamation of C.F. Gauss as the global surveyor in 2021


Lapaine, Miljenko
Conformal Mapping of a Rotational Ellipsoid to a Sphere. On the occasion of the proclamation of C.F. Gauss as the global surveyor in 2021 // ZFV (Augsburg), (2022), 3; 154-162 doi:10.12902/zfv-0387-2022 (međunarodna recenzija, članak, znanstveni)


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Naslov
Conformal Mapping of a Rotational Ellipsoid to a Sphere. On the occasion of the proclamation of C.F. Gauss as the global surveyor in 2021

Autori
Lapaine, Miljenko

Izvornik
ZFV (Augsburg) (1618-8950) (2022), 3; 154-162

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
conformal mapping, double mapping, Gauss-Krüger projection, transverse Mercator projection

Sažetak
Carl Friedrich Gauss is especially known in geodesy for the Gauss-Krüger map projection, which is in official use in many countries and is sometimes known as the transverse Mercator projection. Gauss also investigated other variants of conformal mappings of a rotational ellipsoid to a sphere and of a sphere and an ellipsoid into a plane. In this paper, we deal with a conformal mapping of an ellipsoid to a sphere in which the selected meridian on the ellipsoid is mapped onto the sphere without distortions. Such a mapping allows us to interpret the Gauss-Krüger projection as a double mapping that has not been recognised so far.

Izvorni jezik
Engleski

Znanstvena područja
Geodezija



POVEZANOST RADA


Ustanove:
Geodetski fakultet, Zagreb

Profili:

Avatar Url Miljenko Lapaine (autor)

Poveznice na cjeloviti tekst rada:

Pristup cjelovitom tekstu rada doi

Citiraj ovu publikaciju:

Lapaine, Miljenko
Conformal Mapping of a Rotational Ellipsoid to a Sphere. On the occasion of the proclamation of C.F. Gauss as the global surveyor in 2021 // ZFV (Augsburg), (2022), 3; 154-162 doi:10.12902/zfv-0387-2022 (međunarodna recenzija, članak, znanstveni)
Lapaine, M. (2022) Conformal Mapping of a Rotational Ellipsoid to a Sphere. On the occasion of the proclamation of C.F. Gauss as the global surveyor in 2021. ZFV (Augsburg), (3), 154-162 doi:10.12902/zfv-0387-2022.
@article{article, author = {Lapaine, Miljenko}, year = {2022}, pages = {154-162}, DOI = {10.12902/zfv-0387-2022}, keywords = {conformal mapping, double mapping, Gauss-Kr\"{u}ger projection, transverse Mercator projection}, journal = {ZFV (Augsburg)}, doi = {10.12902/zfv-0387-2022}, number = {3}, issn = {1618-8950}, title = {Conformal Mapping of a Rotational Ellipsoid to a Sphere. On the occasion of the proclamation of C.F. Gauss as the global surveyor in 2021}, keyword = {conformal mapping, double mapping, Gauss-Kr\"{u}ger projection, transverse Mercator projection} }
@article{article, author = {Lapaine, Miljenko}, year = {2022}, pages = {154-162}, DOI = {10.12902/zfv-0387-2022}, keywords = {conformal mapping, double mapping, Gauss-Kr\"{u}ger projection, transverse Mercator projection}, journal = {ZFV (Augsburg)}, doi = {10.12902/zfv-0387-2022}, number = {3}, issn = {1618-8950}, title = {Conformal Mapping of a Rotational Ellipsoid to a Sphere. On the occasion of the proclamation of C.F. Gauss as the global surveyor in 2021}, keyword = {conformal mapping, double mapping, Gauss-Kr\"{u}ger projection, transverse Mercator projection} }

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