Pictures of Combinatorial Cubes

07/20/2017

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by   André Wagner, et al.

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We prove that the 8-point algorithm always fails to reconstruct a unique fundamental matrix F independent on the camera positions, when its input are image point configurations that are perspective projections of the vertices of a combinatorial cube in R^3. We give an algorithm that improves the 7- and 8-point algorithm in such a pathological situation. Additionally we analyze the regions of focal point positions where a reconstruction of F is possible at all, when the world points are the vertices of a combinatorial cube in R^3.