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arXiv · 2008.13670

A Square Equal-area Map Projection with Low Angular Distortion, Minimal Cusps, and Closed-form Solutions

Matthew A. Petroff
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Abstract

A novel square equal-area map projection is proposed. The projection combines closed-form forward and inverse solutions with relatively low angular distortion and minimal cusps, a combination of properties not manifested by any previously published square equal-area projection. Thus, the new projection has lower angular distortion than any previously published square equal-area projection with a closed-form solution. Utilizing a quincuncial arrangement, the new projection places the north pole at the center of the square and divides the south pole between its four corners; the projection can be seamlessly tiled. The existence of closed-form solutions makes the projection suitable for real-time visualization applications, both in cartography and in other areas, such as for the display of panoramic images.

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Matthew A. Petroff. 2020-08-31. A Square Equal-area Map Projection with Low Angular Distortion, Minimal Cusps, and Closed-form Solutions. https://doi.org/10.1145/3460521

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