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...
Published in: | ACM Transactions on Spatial Algorithms and Systems |
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Language: | English |
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2021
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Online Access: | http://dx.doi.org/10.1145/3460521 https://dl.acm.org/doi/pdf/10.1145/3460521 |
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cracm:10.1145/3460521 2024-05-19T07:45:41+00:00 A Square Equal-Area Map Projection with Low Angular Distortion, Minimal Cusps, and Closed-Form Solutions Petroff, Matthew A. National Science Foundation Division of Astronomical Sciences 2021 http://dx.doi.org/10.1145/3460521 https://dl.acm.org/doi/pdf/10.1145/3460521 en eng Association for Computing Machinery (ACM) ACM Transactions on Spatial Algorithms and Systems volume 7, issue 4, page 1-16 ISSN 2374-0353 2374-0361 journal-article 2021 cracm https://doi.org/10.1145/3460521 2024-05-01T06:43:48Z 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. Article in Journal/Newspaper North Pole South pole ACM Publications (Association for Computing Machinery) ACM Transactions on Spatial Algorithms and Systems 7 4 1 16 |
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Open Polar |
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ACM Publications (Association for Computing Machinery) |
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cracm |
language |
English |
description |
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. |
author2 |
National Science Foundation Division of Astronomical Sciences |
format |
Article in Journal/Newspaper |
author |
Petroff, Matthew A. |
spellingShingle |
Petroff, Matthew A. A Square Equal-Area Map Projection with Low Angular Distortion, Minimal Cusps, and Closed-Form Solutions |
author_facet |
Petroff, Matthew A. |
author_sort |
Petroff, Matthew A. |
title |
A Square Equal-Area Map Projection with Low Angular Distortion, Minimal Cusps, and Closed-Form Solutions |
title_short |
A Square Equal-Area Map Projection with Low Angular Distortion, Minimal Cusps, and Closed-Form Solutions |
title_full |
A Square Equal-Area Map Projection with Low Angular Distortion, Minimal Cusps, and Closed-Form Solutions |
title_fullStr |
A Square Equal-Area Map Projection with Low Angular Distortion, Minimal Cusps, and Closed-Form Solutions |
title_full_unstemmed |
A Square Equal-Area Map Projection with Low Angular Distortion, Minimal Cusps, and Closed-Form Solutions |
title_sort |
square equal-area map projection with low angular distortion, minimal cusps, and closed-form solutions |
publisher |
Association for Computing Machinery (ACM) |
publishDate |
2021 |
url |
http://dx.doi.org/10.1145/3460521 https://dl.acm.org/doi/pdf/10.1145/3460521 |
genre |
North Pole South pole |
genre_facet |
North Pole South pole |
op_source |
ACM Transactions on Spatial Algorithms and Systems volume 7, issue 4, page 1-16 ISSN 2374-0353 2374-0361 |
op_doi |
https://doi.org/10.1145/3460521 |
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ACM Transactions on Spatial Algorithms and Systems |
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7 |
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4 |
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1 |
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16 |
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1799485784882937856 |