Abstract

In optical image registration,the polynomial regression model generally supposes that the reference control points( RCPs) used as the coefficient matrix is error- free. However,the actual RCPs often inevitably contain errors and RCPs residual errors between different images are not the same. The general least squares method( LS) only considers the error in the observation vector whereas the total least squares method( TLS) takes the errors of both the observation vector and the coefficient matrix into account and assumes that they have the same residual error. In view of this situation,this paper introduces a more reasonable weighted total least squares method( WTLS) for polynomial regression coefficients estimation. Experiments show that the WTLS can estimate the parameters better and significantly improve the image registration accuracy.

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