This paper addresses the problem of robust optimal multi-view triangulation. We propose an abstract framework, as well as a practical algorithm, which finds the best 3D reconstruction with guaranteed global optimality even in the presence of outliers. Our algorithm is founded on the theory of LP-type problem. We have recognized that the L infin triangulation is a concrete example of the LP-type problems. We propose a set of non-trivial basis operation subroutines that actually implement the idea. Experiments have validated the effectiveness and efficiency of the proposed algorithm.
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Hongdong Li (2007) studied this question.
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