Analysis of Interpolation Methods for Kinematic DGPS Control in Aerial Photogrammetry |
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| Authors: | Derek D Lichti |
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| Institution: | (1) School of Spatial Sciences, Curtin University of Technology, GPO Box U1987, Perth, WA 6845, Australia, AU |
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| Abstract: | Kinematic differential Global Positioning System (DGPS) positioning is routinely used in industry for directly observing an
aircraft's position at each instant of photographic exposure during a photogammetric survey. A critical aspect of the subsequent
data processing is estimation of the aircraft position at the exact time of exposure. GPS measurements are acquired at a uniform
sampling rate, typically 1 Hz. The exposure times, however, do not generally coincide with these times. As a result, the exposure
station positions must be interpolated from the adjacent GPS positions. This is typically done using a low-order polynomial,
expressed as a function of time, for each coordinate dimension. However, trajectory perturbations induced by atmospheric turbulence
can render such interpolation methods ineffective.
This article will convey the results of an investigation into the use of several different interpolation models with airborne
GPS data during straight, level flight. The fundamental task of time series reconstruction will first be addressed, in which
several possible interpolation models are described. Two 10-Hz, airborne GPS data sets were collected to test the accuracy
of each model. The error properties resulting from the application of each model to these data will be presented and analyzed
in terms of time-domain statistics and frequency-domain characteristids. It will be demonstrated that interpolation error
can be significantly reduced, especially in the height dimension, through judicious choice of an interpolator. ? 2000 John
Wiley & Sons, Inc. |
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