ISBN: 978-981-09-5471-0 DOI: 10.18178/wcse.2015.04.022
Mathematical Models of Coverage Areas in the Earth Plane for Video and Radar Images
Abstract— The mathematical models of the coverage areas in the Earth plane are suggested. These
models correspond to images obtained from both video sources and an on-board radio station
working in the forward hemisphere. The aircraft navigation parameters serve as input data to
construct the above-stated areas. There are six parameters which describe spatial and angular
aircraft coordinates. The geometry of the coverage areas is investigated for the two cases. At first
the ideal conditions without errors of navigation parameters are considered. Then the conditions
with different errors of navigation parameters are also considered. It is shown that it is necessary to
enlarge the search area for the tasks of the cartographic information superimposition with the aerial
video and radar images. This enlargement should be done taking into account the area of the
ambiguity which is generated for the most unfavorable combination of the errors of navigation
Index Terms— the superimposition, radar images of the underlying surface, the area of the ambiguity.
Anatoly I. Novikov, Sergey A. Yukin, Alexander A. Loginov, Michael B. Nikiforov, Yevgeniy R. Muratov, Victoria A. Sablina
Department of Higher Mathematics and Department of Electronic Computers, RUSSIA
Cite: Anatoly I. Novikov, Sergey A. Yukin, Alexander A. Loginov, Michael B. Nikiforov, Yevgeniy R. Muratov, Victoria A. Sablina, "Mathematical Models of Coverage Areas in the Earth Plane for Video and Radar Images," 2015 The 5th International Workshop on Computer Science and Engineering-Information Processing and Control Engineering (WCSE 2015-IPCE), pp. 136-142, Moscow, Russia, April 15-17, 2015.