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• W2950604502 abstract "This paper considers the foundational question of the existence of a fundamental (resp. essential) matrix given $m$ point correspondences in two views. We present a complete answer for the existence of fundamental matrices for any value of $m$. Using examples we disprove the widely held beliefs that fundamental matrices always exist whenever $m leq 7$. At the same time, we prove that they exist unconditionally when $m leq 5$. Under a mild genericity condition, we show that an essential matrix always exists when $m leq 4$. We also characterize the six and seven point configurations in two views for which all matrices satisfying the epipolar constraint have rank at most one." @default.
• W2950604502 created "2019-06-27" @default.
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• W2950604502 date "2015-10-06" @default.
• W2950604502 modified "2023-09-27" @default.
• W2950604502 title "On the Existence of Epipolar Matrices" @default.
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