Solution of overdetermined systems of equations using the conforming subsystem selection

Abstract Within this research, we consider an overdetermined system of equations generated on a small number of observations. The degrees of freedom of the overdetermined system and the number of observations are roughly equal. We propose a modification of the Conformed Estimates Method (CEM). The method improvement consists of the usage of an auxiliary system, which is formed from the initial system by reducing the columns. The estimates can be obtained on the higher-level auxiliary subsystem, which is the freest from noise. We consider our method in the problem of computing Rational Polynomial Coefficients (RPCs) from well-established Ground Control Points (GCPs).