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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ftdatacite:10.48550/arxiv.2008.13670 2023-05-15T17:39:49+02:00 A Square Equal-area Map Projection with Low Angular Distortion, Minimal Cusps, and Closed-form Solutions Petroff, Matthew A. 2020 https://dx.doi.org/10.48550/arxiv.2008.13670 https://arxiv.org/abs/2008.13670 unknown arXiv https://dx.doi.org/10.1145/3460521 Creative Commons Attribution 4.0 International https://creativecommons.org/licenses/by/4.0/legalcode cc-by-4.0 CC-BY Graphics cs.GR Geophysics physics.geo-ph FOS Computer and information sciences FOS Physical sciences article-journal Article ScholarlyArticle Text 2020 ftdatacite https://doi.org/10.48550/arxiv.2008.13670 https://doi.org/10.1145/3460521 2022-03-10T15:55:02Z 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. : 17 pages, 6 figures, 1 table Article in Journal/Newspaper North Pole South pole DataCite Metadata Store (German National Library of Science and Technology) North Pole South Pole |
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DataCite Metadata Store (German National Library of Science and Technology) |
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language |
unknown |
topic |
Graphics cs.GR Geophysics physics.geo-ph FOS Computer and information sciences FOS Physical sciences |
spellingShingle |
Graphics cs.GR Geophysics physics.geo-ph FOS Computer and information sciences FOS Physical sciences Petroff, Matthew A. A Square Equal-area Map Projection with Low Angular Distortion, Minimal Cusps, and Closed-form Solutions |
topic_facet |
Graphics cs.GR Geophysics physics.geo-ph FOS Computer and information sciences FOS Physical sciences |
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. : 17 pages, 6 figures, 1 table |
format |
Article in Journal/Newspaper |
author |
Petroff, Matthew A. |
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 |
arXiv |
publishDate |
2020 |
url |
https://dx.doi.org/10.48550/arxiv.2008.13670 https://arxiv.org/abs/2008.13670 |
geographic |
North Pole South Pole |
geographic_facet |
North Pole South Pole |
genre |
North Pole South pole |
genre_facet |
North Pole South pole |
op_relation |
https://dx.doi.org/10.1145/3460521 |
op_rights |
Creative Commons Attribution 4.0 International https://creativecommons.org/licenses/by/4.0/legalcode cc-by-4.0 |
op_rightsnorm |
CC-BY |
op_doi |
https://doi.org/10.48550/arxiv.2008.13670 https://doi.org/10.1145/3460521 |
_version_ |
1766140591680258048 |