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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Language: | English |
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Copernicus Publications
2016
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Online Access: | https://doi.org/10.5194/isprs-annals-III-4-11-2016 https://doaj.org/article/c1ac145336354758b533c195c113ab8c |
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ftdoajarticles:oai:doaj.org/article:c1ac145336354758b533c195c113ab8c 2023-05-15T14:02:45+02:00 NONZONAL EXPRESSIONS OF GAUSS–KRÜGER PROJECTION IN POLAR REGIONS Z. Li S. Bian Q. Liu H. Li C. Chen Y. Hu 2016-06-01T00:00:00Z https://doi.org/10.5194/isprs-annals-III-4-11-2016 https://doaj.org/article/c1ac145336354758b533c195c113ab8c EN eng Copernicus Publications http://www.isprs-ann-photogramm-remote-sens-spatial-inf-sci.net/III-4/11/2016/isprs-annals-III-4-11-2016.pdf https://doaj.org/toc/2194-9042 https://doaj.org/toc/2194-9050 2194-9042 2194-9050 doi:10.5194/isprs-annals-III-4-11-2016 https://doaj.org/article/c1ac145336354758b533c195c113ab8c ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol III-4, Pp 11-15 (2016) Technology T Engineering (General). Civil engineering (General) TA1-2040 Applied optics. Photonics TA1501-1820 article 2016 ftdoajarticles https://doi.org/10.5194/isprs-annals-III-4-11-2016 2023-01-08T01:30:54Z 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 Directory of Open Access Journals: DOAJ Articles Antarctic Arctic ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences III-4 11 15 |
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Open Polar |
collection |
Directory of Open Access Journals: DOAJ Articles |
op_collection_id |
ftdoajarticles |
language |
English |
topic |
Technology T Engineering (General). Civil engineering (General) TA1-2040 Applied optics. Photonics TA1501-1820 |
spellingShingle |
Technology T Engineering (General). Civil engineering (General) TA1-2040 Applied optics. Photonics TA1501-1820 Z. Li S. Bian Q. Liu H. Li C. Chen Y. Hu NONZONAL EXPRESSIONS OF GAUSS–KRÜGER PROJECTION IN POLAR REGIONS |
topic_facet |
Technology T Engineering (General). Civil engineering (General) TA1-2040 Applied optics. Photonics TA1501-1820 |
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 |
Z. Li S. Bian Q. Liu H. Li C. Chen Y. Hu |
author_facet |
Z. Li S. Bian Q. Liu H. Li C. Chen Y. Hu |
author_sort |
Z. Li |
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://doaj.org/article/c1ac145336354758b533c195c113ab8c |
geographic |
Antarctic Arctic |
geographic_facet |
Antarctic Arctic |
genre |
Antarc* Antarctic Arctic |
genre_facet |
Antarc* Antarctic Arctic |
op_source |
ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol III-4, Pp 11-15 (2016) |
op_relation |
http://www.isprs-ann-photogramm-remote-sens-spatial-inf-sci.net/III-4/11/2016/isprs-annals-III-4-11-2016.pdf https://doaj.org/toc/2194-9042 https://doaj.org/toc/2194-9050 2194-9042 2194-9050 doi:10.5194/isprs-annals-III-4-11-2016 https://doaj.org/article/c1ac145336354758b533c195c113ab8c |
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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1766273166841217024 |