Estimation for the random errors of reflector surfaces using measured data

In this research, a novel error-decomposition scheme is developed to determine efficiently the random errors of reflector surface based on the discrete measurement data. The least squares fitting of semi-closed B-spline surface is employed. Subsequently, a spatial statistical analysis is performed to determine whether the spatial independent distribution of the sampled data points is attained for a given confidence level. This research rests on the assumption that the measurement errors of instruments are trivial compared with random errors caused by machining and assembly inaccuracies. The presented methodology has been applied to the surface analysis of a 3.7 m reflector antenna.

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