A structure from motion inequality

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dc.creatorKnill, Oliver
dc.creatorRamirez-Herran, Jose
dc.date2007-08-18
dc.date.accessioned2026-07-07T08:24:14Z
dc.date.available2026-07-07T08:24:14Z
dc.descriptionWe state an elementary inequality for the structure from motion problem for m cameras and n points. This structure from motion inequality relates space dimension, camera parameter dimension, the number of cameras and number points and global symmetry properties and provides a rigorous criterion for which reconstruction is not possible with probability 1. Mathematically the inequality is based on Frobenius theorem which is a geometric incarnation of the fundamental theorem of linear algebra. The paper also provides a general mathematical formalism for the structure from motion problem. It includes the situation the points can move while the camera takes the pictures.
dc.description15 pages, 22 figures
dc.identifierhttps://arxiv.org/abs/0708.2432
dc.identifierhttp://arxiv.org/abs/0708.2432
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136272
dc.subjectComputer Vision and Pattern Recognition
dc.subjectArtificial Intelligence
dc.subjectI.2.10
dc.titleA structure from motion inequality
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