Influence of the Accuracy of Estimation of Coordinates of Reference Areas on the Accuracy of Image Registration

Abstract

The problem of estimating the accuracy of geometric registration of images when using registration methods based on the choice of reference areas is considered. As a mathematical model of geometric transformations of images, a scale-shift transformation is used, which is typical for stationary video surveillance systems equipped with a rotary device and a camera with a variable focal length. The choice of reference areas is carried out by a multi-reference algorithm with a random search for reference points. Expressions are given for the correlation matrix of errors in determining the parameters of geometric transformations and the correlation matrices of alignment errors at different points of the image. The dependence of the variance of the alignment error on the coordinates of the reference areas is obtained. Experimental studies were carried out on full-scale images formed in the vehicle traffic control system. The results obtained can be used in the development of algorithms for image stabilization, selection of moving objects, detection of scene changes.