Application of the Kalman filtering in terrestrial geodesy
Bogatin, Sonja and Dusan Kogoj
One of the main tasks of geodetic surveying is measuring and analyzing deformations and movements of natural or man made objects. Nowadays geodetic deformation analysis means geodetic analysis of dynamic and kinematic processes (Welsch, Heunecke, 2001), which means incorporating the influencing factors and time dependence. Models describing the deformation as a function of time are kinematic models. From the instruments point of view modern geodetic terrestrial instruments allow capturing dynamic (kinematic) process with high frequency of measurements. With proper deformation model the system state and its accuracy are definable in real time. Because the object is permanently in motion no redundant observations are available for the time point. The classical geodetic adjustment cannot be used. Instead, the filter methods have to be applied. The Kalman filter represents a method of advanced geodetic analysis of dynamic and kinematic processes. The estimation is based on predicting the future system state by using known past behaviour.
Event: XXIII International FIG Congress : Shaping the change
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