János Györffy’s research while affiliated with Eötvös Loránd University and other places

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Publications (2)


Figure 1. The isolines of the maximum angular deformation 2v( • ) and the area scale p for the minimum distortion pseudocylindrical projection (a).
Figure 3. The isolines of the maximum angular deformation 2v( • ) and the area scale p for the minimum distortion non-conical projection (d).
Figure 5. The isolines of the maximum angular deformation 2v( • ) and the area scale p for the nonconical projection (f) derived from the projection (e) with reduced maximal outline curvature.
Mean overall distortion values E K of some often used projections (pp: pointed-polar; fp: flat- polar; mixed: partly pointed-polar, partly flat-polar).
Coefficients c i and mean overall distortion values of the studied projections.
Minimum distortion pointed-polar projections for world maps by applying graticule transformation
  • Article
  • Full-text available

May 2018

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239 Reads

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4 Citations

International Journal of Cartography

János Györffy

Both the media and the geosciences often use small-scale world maps for demonstrating global phenomena. The most important demands on the projection of these maps are: (1) the map distortions have to be reduced as much as possible; (2) the outline shape of the mapped Earth must remind the viewer of the Globe. If the map theme to be illustrated requires neither equivalency (nor, which rarely happens, conformality) nor prescriptions for the map graticule, an aphylactic non-conical projection with simultaneously minimized angular and area distortions is advisable. In this paper, a graticule transformation by a parameterizable function helps to convert minimum distortion pointed-polar pseudocylindrical projections for world maps into general non-conical projections with further minimized distortions. The maximum curvature of the outline shape will be moderated at the same time in order to obtain a definitely pointed-polar character.

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Some Remarks on the Question of Pseudocylindrical Projections with Minimum Distortions for World Maps

May 2016

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33 Reads

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3 Citations

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.

Citations (2)


... Coefficients A ij , B ij and parameters φ 0 , λ 0 , λ ' p of the aspect were optimized against the Airy-Kavrayskiy criterion (denoted as E) calculated as (Györffy 2018 (14) where S is the surface of continents. ...

Reference:

A Low-Distortion Oblique Map Projection of the World’s Landmasses
Minimum distortion pointed-polar projections for world maps by applying graticule transformation

International Journal of Cartography

... Kerkovits (2019) demonstrated that distortion of length strongly correlates to the linear combination of areal and angular distortions. Furthermore, Györffy (2016) also revealed a functional relationship between them. Thus, explicit inclusion of linear distortion may safely be omitted, as angular and areal distortions already count for its effect implicitly. ...

Some Remarks on the Question of Pseudocylindrical Projections with Minimum Distortions for World Maps
  • Citing Chapter
  • May 2016