A dyadic solution of relative pose problems

Computer Science – Computer Vision and Pattern Recognition

Scientific paper

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7 pages; references added; typos and Thm 2 corrected (not affecting the other results)

Scientific paper

A hierarchical interval subdivision is shown to lead to a $p$-adic encoding of image data. This allows in the case of the relative pose problem in computer vision and photogrammetry to derive equations having 2-adic numbers as coefficients, and to use Hensel's lifting method to their solution. This method is applied to the linear and non-linear equations coming from eight, seven or five point correspondences. An inherent property of the method is its robustness.

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