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