In this paper we present a method with closed analytic formula of stitching aligned images. It is obtained by choosing a statistically optimal global color change of one part of image. This approach, due to its numerical efficiency, is especially well-suited for merging big amount of satellite images into a single map. Moreover, we present solution of a general problem, how to find an optimal shift by v of data Y with respect to v from V, so that the dataset X, Y+v is maximally statistically consistent. We show that the solution is given in a closed analytic form.
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