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arXiv · 1304.6990

Euclidean Upgrade from a Minimal Number of Segments

Tanja Schilling·Tomas Pajdla
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Abstract

In this paper, we propose an algebraic approach to upgrade a projective reconstruction to a Euclidean one, and aim at computing the rectifying homography from a minimal number of 9 segments of known length. Constraints are derived from these segments which yield a set of polynomial equations that we solve by means of Gröbner bases. We explain how a solver for such a system of equations can be constructed from simplified template data. Moreover, we present experiments that demonstrate that the given problem can be solved in this way.

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Tanja Schilling, Tomas Pajdla. 2013-04-25. Euclidean Upgrade from a Minimal Number of Segments. https://arxiv.org/abs/1304.6990

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