Araştırma Makalesi
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LAMBERT AZIMUTHAL EQUAL-AREA PROJECTION

Yıl 2024, Cilt: 25 Sayı: 3, 380 - 389, 30.09.2024
https://doi.org/10.18038/estubtda.1410864

Öz

In the present study, we give the proofs about important properties of Lambert azimuthal projection, like conformality, preserve area e.g. which characterizes it. While there are some kind of Lambert projection for instance standard, cylindrical in the literature, we utilize from the south polar aspect and in our proofs, we use this approach. Finally, we give some visualizations of the inverse of projection as an example.

Kaynakça

  • [1] Marić M. A toolbox for visualizing Möbius transformations. IV Nordic GeoGebra Conference, Copenhagen, 2013.
  • [2] Wilson P. Curved Spaces: From Classical Geometries to Elementary Differential Geometry. Cambridge University Press, New York-United States of America, 2008. pp. 39-44.
  • [3] Marsland S, Mclachlan RI. Möbius invariants of shapes and images. Symmetry, Integrability and Geometry: Methods and Applications 2016; 12: 1-29.
  • [4] Mork LK, Ulness DJ. Visualization of Mandelbrot and Julia sets of Möbius transformations. Fractal and Fractional 2021; 5-73.
  • [5] Osborne P. The Mercator projections: The normal and transverse Mercator projections on the sphere and the ellipsoid with full derivations of all formulae. Edinburg Zenodo. https://doi.org/10.5281/zenodo.35392
  • [6] Fong C. An Indoor Alternative to Stereographic Spherical Panoramas. Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture. pp. 103-110.
  • [7] Borradaile G. Statistics of Earth Science Data. Springer-Verlag Berlin Heidelberg New York, 2003.
  • [8] Snyder JP. Map Projections-A Working Manual. United States Goverment Printing Office, Washington, 1987.
  • [9] Pressley A. Elementary Differential Geometry, Springer Undergraduate Mathematics Series, London-England, 2010. pp. 391-398.
Yıl 2024, Cilt: 25 Sayı: 3, 380 - 389, 30.09.2024
https://doi.org/10.18038/estubtda.1410864

Öz

Kaynakça

  • [1] Marić M. A toolbox for visualizing Möbius transformations. IV Nordic GeoGebra Conference, Copenhagen, 2013.
  • [2] Wilson P. Curved Spaces: From Classical Geometries to Elementary Differential Geometry. Cambridge University Press, New York-United States of America, 2008. pp. 39-44.
  • [3] Marsland S, Mclachlan RI. Möbius invariants of shapes and images. Symmetry, Integrability and Geometry: Methods and Applications 2016; 12: 1-29.
  • [4] Mork LK, Ulness DJ. Visualization of Mandelbrot and Julia sets of Möbius transformations. Fractal and Fractional 2021; 5-73.
  • [5] Osborne P. The Mercator projections: The normal and transverse Mercator projections on the sphere and the ellipsoid with full derivations of all formulae. Edinburg Zenodo. https://doi.org/10.5281/zenodo.35392
  • [6] Fong C. An Indoor Alternative to Stereographic Spherical Panoramas. Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture. pp. 103-110.
  • [7] Borradaile G. Statistics of Earth Science Data. Springer-Verlag Berlin Heidelberg New York, 2003.
  • [8] Snyder JP. Map Projections-A Working Manual. United States Goverment Printing Office, Washington, 1987.
  • [9] Pressley A. Elementary Differential Geometry, Springer Undergraduate Mathematics Series, London-England, 2010. pp. 391-398.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Cebirsel ve Diferansiyel Geometri, Kartografya ve Sayısal Haritalama
Bölüm Makaleler
Yazarlar

Emre Öztürk 0000-0001-6638-3233

Yayımlanma Tarihi 30 Eylül 2024
Gönderilme Tarihi 27 Aralık 2023
Kabul Tarihi 27 Ağustos 2024
Yayımlandığı Sayı Yıl 2024 Cilt: 25 Sayı: 3

Kaynak Göster

AMA Öztürk E. LAMBERT AZIMUTHAL EQUAL-AREA PROJECTION. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering. Eylül 2024;25(3):380-389. doi:10.18038/estubtda.1410864