Applied Mathematics & Information Sciences

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In this paper, we propose a new algorithm to solve the 7 parameters transformation problem. Using Gr¨obner bases techniques and solving polynomial systems, we find, in a direct manner and without the need of a linearization, the values of the translation, rotation and a scale factor. Then, with the aid of simulated data, we will confront the algorithm to all sorts of configurations. Finally, we show the application of this algorithm in photogrammetry.

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