NONZONAL EXPRESSIONS OF GAUSS–KRÜGER PROJECTION IN POLAR REGIONS
With conformal colatitude introduced, based on the mathematical relationship between exponential and logarithmic functions by complex numbers, strict equation of complex conformal colatitude is derived, and then theoretically strict nonzonal expressions of Gauss projection in polar regions are carri...
Published in: | ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences |
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2016
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ftnonlinearchiv:oai:noa.gwlb.de:cop_mods_00013185 2023-05-15T13:34:48+02:00 NONZONAL EXPRESSIONS OF GAUSS–KRÜGER PROJECTION IN POLAR REGIONS Li, Zhongmei Bian, Shaofeng Liu, Qiang Li, Houpu Chen, Cheng Hu, Yanfeng 2016-06 electronic https://doi.org/10.5194/isprs-annals-III-4-11-2016 https://noa.gwlb.de/receive/cop_mods_00013185 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00013141/isprs-annals-III-4-11-2016.pdf https://www.isprs-ann-photogramm-remote-sens-spatial-inf-sci.net/III-4/11/2016/isprs-annals-III-4-11-2016.pdf eng eng Copernicus Publications ISPRS Annals of Photogrammetry, Remote Sensing and Spatial Information Sciences -- ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences -- http://www.isprs.org/publications/annals.aspx -- 2194-9050 https://doi.org/10.5194/isprs-annals-III-4-11-2016 https://noa.gwlb.de/receive/cop_mods_00013185 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00013141/isprs-annals-III-4-11-2016.pdf https://www.isprs-ann-photogramm-remote-sens-spatial-inf-sci.net/III-4/11/2016/isprs-annals-III-4-11-2016.pdf uneingeschränkt info:eu-repo/semantics/openAccess article Verlagsveröffentlichung article Text doc-type:article 2016 ftnonlinearchiv https://doi.org/10.5194/isprs-annals-III-4-11-2016 2022-02-08T22:55:45Z With conformal colatitude introduced, based on the mathematical relationship between exponential and logarithmic functions by complex numbers, strict equation of complex conformal colatitude is derived, and then theoretically strict nonzonal expressions of Gauss projection in polar regions are carried out. By means of the computer algebra system, correctness of these expressions is verified, and sketches of Gauss-krüger projection without bandwidth restriction in polar regions are charted. In the Arctic or Antarctic region, graticule of nonzonal Gauss projection complies with people’s reading habit and reflects real ground-object distribution. Achievements in this paper could perfect mathematical basis of Gauss projection and provide reference frame for polar surveying and photogrammetry. Article in Journal/Newspaper Antarc* Antarctic Arctic Niedersächsisches Online-Archiv NOA Antarctic Arctic ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences III-4 11 15 |
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Open Polar |
collection |
Niedersächsisches Online-Archiv NOA |
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ftnonlinearchiv |
language |
English |
topic |
article Verlagsveröffentlichung |
spellingShingle |
article Verlagsveröffentlichung Li, Zhongmei Bian, Shaofeng Liu, Qiang Li, Houpu Chen, Cheng Hu, Yanfeng NONZONAL EXPRESSIONS OF GAUSS–KRÜGER PROJECTION IN POLAR REGIONS |
topic_facet |
article Verlagsveröffentlichung |
description |
With conformal colatitude introduced, based on the mathematical relationship between exponential and logarithmic functions by complex numbers, strict equation of complex conformal colatitude is derived, and then theoretically strict nonzonal expressions of Gauss projection in polar regions are carried out. By means of the computer algebra system, correctness of these expressions is verified, and sketches of Gauss-krüger projection without bandwidth restriction in polar regions are charted. In the Arctic or Antarctic region, graticule of nonzonal Gauss projection complies with people’s reading habit and reflects real ground-object distribution. Achievements in this paper could perfect mathematical basis of Gauss projection and provide reference frame for polar surveying and photogrammetry. |
format |
Article in Journal/Newspaper |
author |
Li, Zhongmei Bian, Shaofeng Liu, Qiang Li, Houpu Chen, Cheng Hu, Yanfeng |
author_facet |
Li, Zhongmei Bian, Shaofeng Liu, Qiang Li, Houpu Chen, Cheng Hu, Yanfeng |
author_sort |
Li, Zhongmei |
title |
NONZONAL EXPRESSIONS OF GAUSS–KRÜGER PROJECTION IN POLAR REGIONS |
title_short |
NONZONAL EXPRESSIONS OF GAUSS–KRÜGER PROJECTION IN POLAR REGIONS |
title_full |
NONZONAL EXPRESSIONS OF GAUSS–KRÜGER PROJECTION IN POLAR REGIONS |
title_fullStr |
NONZONAL EXPRESSIONS OF GAUSS–KRÜGER PROJECTION IN POLAR REGIONS |
title_full_unstemmed |
NONZONAL EXPRESSIONS OF GAUSS–KRÜGER PROJECTION IN POLAR REGIONS |
title_sort |
nonzonal expressions of gauss–krüger projection in polar regions |
publisher |
Copernicus Publications |
publishDate |
2016 |
url |
https://doi.org/10.5194/isprs-annals-III-4-11-2016 https://noa.gwlb.de/receive/cop_mods_00013185 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00013141/isprs-annals-III-4-11-2016.pdf https://www.isprs-ann-photogramm-remote-sens-spatial-inf-sci.net/III-4/11/2016/isprs-annals-III-4-11-2016.pdf |
geographic |
Antarctic Arctic |
geographic_facet |
Antarctic Arctic |
genre |
Antarc* Antarctic Arctic |
genre_facet |
Antarc* Antarctic Arctic |
op_relation |
ISPRS Annals of Photogrammetry, Remote Sensing and Spatial Information Sciences -- ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences -- http://www.isprs.org/publications/annals.aspx -- 2194-9050 https://doi.org/10.5194/isprs-annals-III-4-11-2016 https://noa.gwlb.de/receive/cop_mods_00013185 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00013141/isprs-annals-III-4-11-2016.pdf https://www.isprs-ann-photogramm-remote-sens-spatial-inf-sci.net/III-4/11/2016/isprs-annals-III-4-11-2016.pdf |
op_rights |
uneingeschränkt info:eu-repo/semantics/openAccess |
op_doi |
https://doi.org/10.5194/isprs-annals-III-4-11-2016 |
container_title |
ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences |
container_volume |
III-4 |
container_start_page |
11 |
op_container_end_page |
15 |
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1766057771654971392 |