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...

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Bibliographic Details
Published in:ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences
Main Authors: Z. Li, S. Bian, Q. Liu, H. Li, C. Chen, Y. Hu
Format: Article in Journal/Newspaper
Language:English
Published: Copernicus Publications 2016
Subjects:
Technology
T
Engineering (General). Civil engineering (General)
TA1-2040
Applied optics. Photonics
TA1501-1820
Antarctic
Arctic
Antarc*
Online Access:https://doi.org/10.5194/isprs-annals-III-4-11-2016
https://doaj.org/article/c1ac145336354758b533c195c113ab8c
Description
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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