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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| Main Authors: | , , , , , |
| Format: | Article in Journal/Newspaper |
| Language: | English |
| Published: |
Copernicus Publications
2016
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| Subjects: | |
| Online Access: | 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 |
| Summary: | 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. |
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