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Cylindrical Projections as a Limiting Case of Conic Projections.
- Source :
-
Cartography & Geoinformation / Kartografija i Geoinformacije . Jun2023, Vol. 21 Issue 39, p62-75. 14p. - Publication Year :
- 2023
-
Abstract
- Lambert (1 772) derived the equation of the Mercator projection as a limiting case of a conformal conic projection. In this paper, we give a derivation for equidistant, equal-area, conformal and perspective cylindrical projections as limiting cases of equidistant, equal-area, conformal and perspective conic projections. In this article the conic and cylindrical projections are not projections on a cone or a cylinder whose surfaces are cut and developed into a plane, but rather mappings of the sphere directly into the plane. Exceptions are projections that are defined as mappings on the surface of a cone or plane, as is the case with perspective projections. In the end, we prove that it is not always possible to obtain a corresponding cylindrical projection as a limiting case from a conic projection, as one might conclude at first glance. Therefore, the final conclusion is that it is not advisable to interpret cylindrical projections as limiting cases of conic projections. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CONES
*SPHERES
*EQUATIONS
Subjects
Details
- Language :
- Multiple languages
- ISSN :
- 1333896X
- Volume :
- 21
- Issue :
- 39
- Database :
- Academic Search Index
- Journal :
- Cartography & Geoinformation / Kartografija i Geoinformacije
- Publication Type :
- Academic Journal
- Accession number :
- 169989252
- Full Text :
- https://doi.org/10.32909/kg.22.39.4