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《Acta Geodaetica et Cartographica Sinica》 2018-06
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A Preliminary Study on the Theory of Polar Coordinates Digital Photogrammetry and the Coordinate System of Spatial Information

YAN Lei;CHEN Rui;SUN Yanbiao;Beijing Key Lab of Spatial Information Integration and Its Applications,Peking University;Department of Civil,Environmental and Geomatic Engineering,University College London(UCL);  
The diversity of means of obtaining space information and the tight constraints of the strict mathematical rules of data processing are the new contradictions associated with the development of the new aeronautics and astronautics technology.For example,push broom,variable angle swing staring,zoom imaging,aerial platform attitude,large angle flight,high overlap and short baseline effect,which bring severe challenges to convergence,efficiency,accuracy and anti-interference.Based on the principle of the bionic machine parallax angle and the essence of pyramidal projection of the aerial space platform to the surface,the mathematical expression of polar coordinates is introduced.This paper has explored the solution to the causes of the high resolution image sparsity ill conditioned singularity and nonconvergence,built a set of mathematical models for the polar coordinates processing of the parallax angular vector,and formed the polar information theory of spatial information initially.This method has been improved in the range of accuracy,efficiency and anti-interference order of magnitude in close-range photogrammetry and the free net bundle adjustment model,and publish open source code in the world more than three years,which has a good reaction.The effectiveness is verified in the aero photogrammetry and absolute network adjustment model experiment,and the performance is better than the Descartes coordinate processing method.Finally,the high-order solution characteristics of various applications and spaceflight platforms are given,which is expected to lay the foundation for the construction of the new polar coordinates system for aerospace multi-scale all attitude spatial information(acquisition organization management storage processing application).
【Fund】: 国家重大计划研发项目(2017YFB0503004);; 国家自然科学基金(41571432;61101157;41050110441);; 国家863计划(2007AA09Z201);; 国家支撑计划项目课题(2011BAH12B06)~~
【CateGory Index】: P23
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