Journal cover Journal topic
Advances in Cartography and GIScience of the ICA
Journal topic
Articles | Volume 3
29 Nov 2021
 | 29 Nov 2021

Best cylindrical map projections according to the undesirability of angular and areal distortions

Krisztián Kerkovits

Keywords: low-distortion map projections, cylindrical mappings, calculus of variations

Abstract. Seeking low distortion maps, it is usual to assume that areal and angular distortions are equally undesirable on the map. However, this might not be the case for certain map thematics. Should angular distortions be a bit less preferred to areal distortions, maps of unbalanced distortions may be developed. In this paper, the known analytic solution for the best cylindrical map projection is extended to such more general requirements by utilizing calculus of variations. The overall distortion of the resulted mappings are calculated and compared to each other to explore the distortion characteristics of these intentionally unbalanced map projections.

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