Critical Motions in Euclidean Structure from Motion

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Critical Motions in Euclidean Structure from Motion
We investigate the motions that lead to ambiguous Euclidean scene reconstructions under several common calibration constraints, giving a complete description of such critical motions for: (i) internally calibrated orthographic and perspective cameras; (ii) in two images, for cameras with unknown focal lengths, either different or equal. One aim of the work was to evaluate the potential of modern algebraic geometry tools for rigorously proving properties of vision algorithms, so we use idealtheoretic calculations as well as classical algebra and geometry. We also present numerical experiments showing the effects of near-critical configurations for the varying and fixed focal length methods.
Fredrik Kahl, Bill Triggs
Added 12 Oct 2009
Updated 12 Oct 2009
Type Conference
Year 1999
Where CVPR
Authors Fredrik Kahl, Bill Triggs
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