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Graphical design of world map projections
Authors:Bernhard Jenny  Tom Patterson  Lorenz Hurni
Institution:1. Institute of Cartography, ETH Zurich , Zurich, Switzerland jenny@karto.baug.ethz.ch;3. US National Park Service , Harpers Ferry, WV, USA;4. Institute of Cartography, ETH Zurich , Zurich, Switzerland
Abstract:The design of new map projections has up until now required mathematical and cartographic expertise that has limited this activity to a small group of specialists. This article introduces the background mathematics for a software-based method that enables cartographers to easily design new small-scale world map projections. The software is usable even by those without mathematical expertise. A new projection is designed interactively in an iterative process that allows the designer to graphically and numerically assess the graticule, the representation of the continents, and the distortion properties of the new projection. The method has been implemented in Flex Projector, a free and open-source application enabling users to quickly create new map projections and modify existing projections. We also introduce new tools that help evaluate the distortion properties of projections, namely a configurable acceptance index to assess areal and angular distortion, a derived acceptance visualization, and interactive profiles through the distortion space of a projection. To illustrate the proposed method, a new projection, the Cropped Ginzburg VIII projection, is presented.
Keywords:small-scale map projections  acceptance index  Flex Projector  Cropped Ginzburg VIII projection
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