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Data-Optimized Oblique Mercator: A software package for optimal map projections

Authors: von Specht, Sebastian; Ziebarth, Malte Jörn;

Data-Optimized Oblique Mercator: A software package for optimal map projections

Abstract

Map projections transform the Earth's curved surface into a plane and are thus crucial for mapping and geospatial analysis. However, projections inevitably introduce distortion and the conventional approach is to select a suitable, predefined map projection for the mapped region. Unfortunately, the available projections are limited in variety and can be difficult to evaluate effectively. We propose an alternative approach: rather than selecting from a predefined set of projections, we introduce an algorithm that optimizes a single projection for a given data set: Data-Optimized Oblique Mercator (DOOM). At its core is the Hotine oblique Mercator projection, featuring a flexible set of adjustable parameters and a universal implementation in GIS platforms and related software. DOOM utilizes the well-established optimization algorithms Levenberg-Marquardt, Adamax, and BFGS, to optimize the projection parameters, minimizing distortion in the mapping of geospatial data. The algorithm supports various objective functions (e.g., L1- and L2-norms, minmax) and can be extended to incorporate data weighting. The methodology is validated through several case studies, highlighting its adaptability across diverse applications. Additionally, we introduce a GIS plugin to streamline the use of optimized projection parameters, enhancing accessibility for the geospatial community.

Keywords

Cartography, Machine learning, Geographic information systems, QGIS, Oblique Mercator Projection

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average