Abstract
The chorographic world maps cannot go missing from the atlases for the general public and for schools. Among other requirements, their map distortions are usually expected to be minimal. In the aphylactic projections both the angular and area distortions can be reduced by the principle of “balance of errors”. Equations for the mapping functions help us to search pseudocylindrical projections showing minimum distortions according to the Kavrayskiy criterion, while the outline shape of the mapped Earth is monitored. Some of the best solutions are demonstrated in this paper.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Airy GB (1861) Explanation of a projection by balance of errors for maps applying to a very large extent of the Earth’s surface, and comparison of this projection with other projections. The London, Edinburgh and Dublin Philos Mag 22(4):409–421
Baranyi J, Györffy J (1989) New form-true projections in hungarian atlases. Hungarian cartographical studies. Hungarian National Committee, International Cartographic Association, Budapest, pp 75–85
[Bayeva] Бaeva E Ю (1987) Кpитepии oцeнки дocтoинcтвa кapтoгpaфичecкиx пpoeкций, иcпoльзyeмыx для cocтaвлeния кapт миpa. Гeoдeзия и Aэpoфoтocъeмкa 3:109–112
Beineke D (1991) Untersuchungen zur Robinson Abbildung und Vorschlag einer analytischen Abbildungsvorschrift. Kartographische Nachrichten 41:85–94
Canters F (2002) Small-scale Map Projection Design. Taylor & Francis, London, New York
Frančula N (1971) Die vorteilhaftesten Abbildungen in der Atlaskartographie. Institut für Kartographie und Topographie der Rheinischen Friedrich, Wilhelm-Universität Bonn
Gede M (2011) Optimising the distortions of sinusoidal-elliptical composite projections. In: Advances in cartography and GISscience, vol 2. Springer-Verlag, Berlin, Heidelberg, pp 209–225
Gelfand IM, Fomin SV (1963) In: Silverman RA (ed) Calculus of variations, Prentice-Hall, Englewood Cliffs, New Jersey
Gott JR, Mugnolo Ch, Colley WN (2007) Map projections minimizing distance errors. Cartographica 42:219–234
Györffy J (1990) Anmerkungen zur frage der besten echten Zylinderabbildungen. Kartographische Nachrichten 40:140–146
[Kavrayskiy] Кaвpaйcкий B B (1958) Избpaнныe тpyды, т. 2. вып. 1. ГC BMФ Mocквa
Klinghammer I (2015) A kartográfia alapjairól: a térképvetületek kezdetei (in Hungarian). Geodézia és Kartográfia 7(8):14–19 (On the basics of cartography: the development of projections)
Snyder JP (1985) Computer-assisted map projection research. U.S. Geological Survey Bulletin no. 1629, United States Government Printing Office, Washington
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Györffy, J. (2016). Some Remarks on the Question of Pseudocylindrical Projections with Minimum Distortions for World Maps. In: Gartner, G., Jobst, M., Huang, H. (eds) Progress in Cartography. Lecture Notes in Geoinformation and Cartography(). Springer, Cham. https://doi.org/10.1007/978-3-319-19602-2_16
Download citation
DOI: https://doi.org/10.1007/978-3-319-19602-2_16
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-19601-5
Online ISBN: 978-3-319-19602-2
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)