NONZONAL EXPRESSIONS OF GAUSS–KRÜGER PROJECTION IN POLAR REGIONS
Autor: | Houpu Li, Cheng Chen, Yanfeng Hu, Zhongmei Li, Shaofeng Bian, Qiang Liu |
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Jazyk: | angličtina |
Rok vydání: | 2016 |
Předmět: |
lcsh:Applied optics. Photonics
Graphical projection 010504 meteorology & atmospheric sciences lcsh:T Orthographic projection Gauss Mathematical analysis lcsh:TA1501-1820 Conformal map Colatitude 010502 geochemistry & geophysics Symbolic computation 01 natural sciences lcsh:Technology lcsh:TA1-2040 Transverse Mercator projection Projection (set theory) lcsh:Engineering (General). Civil engineering (General) 0105 earth and related environmental sciences Mathematics |
Zdroj: | ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol III-4, Pp 11-15 (2016) |
ISSN: | 2194-9050 2194-9042 |
Popis: | 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. |
Databáze: | OpenAIRE |
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