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

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 project...

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Bibliographic Details
Published in:ACM Transactions on Spatial Algorithms and Systems
Main Author: Petroff, Matthew A.
Other Authors: National Science Foundation Division of Astronomical Sciences
Format: Article in Journal/Newspaper
Language:English
Published: Association for Computing Machinery (ACM) 2021
Subjects:
Online Access:http://dx.doi.org/10.1145/3460521
https://dl.acm.org/doi/pdf/10.1145/3460521
Description
Summary: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.