Open AccessNONZONAL EXPRESSIONS OF GAUSS–KRÜGER PROJECTION IN POLAR REGIONS
Author(s) -
Zhongmei Li,
Shaofeng Bian,
Qiang Liu,
Houpu Li,
Cheng Chen,
Yanfeng Hu
Publication year - 2016
Publication title -
isprs annals of the photogrammetry, remote sensing and spatial information sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.356
H-Index - 38
eISSN - 2194-9042
pISSN - 2196-6346
DOI - 10.5194/isprsannals-iii-4-11-2016
Subject(s) - gauss , projection (relational algebra) , conformal map , basis (linear algebra) , polar , frame (networking) , correctness , polar coordinate system , mathematics , algebra over a field , computer science , mathematical analysis , geometry , pure mathematics , algorithm , physics , telecommunications , quantum mechanics , astronomy
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.