Semi-metric Space: A New Approach to Treat Orthogonality and Parallelism

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dc.contributor.authorKim, Jun-Sik-
dc.contributor.authorKweon, In So-
dc.date.accessioned2011-03-15T09:04:52Z-
dc.date.available2011-03-15T09:04:52Z-
dc.date.issued2006-
dc.identifier.citationACCVen
dc.identifier.urihttp://hdl.handle.net/10203/22693-
dc.description.abstractWe propose a new method to recover 3D structures of artificial objects from scene pictures using orthogonality and parallelism. A new transformation group, “semi-metric space,” is defined to describe the scenes of artificial objects consisting of orthogonal and parallel line features. A metric invariant called conic dual to the circular points has a simple diagonal form in the semi-metric space. Furthermore, under some assumptions, the metric reconstruction is possible using some affine properties. The algorithms are verified with real images captured with a camera in a commercial mobile phone.en
dc.description.sponsorshipThis research has been partially supported by the Korean Ministry of Science and Technology for NRL Program(Grant number M1-0302- 00-0064) and by Microsoft research Asia.en
dc.language.isoen_USen
dc.publisherSpringer Verlagen
dc.titleSemi-metric Space: A New Approach to Treat Orthogonality and Parallelismen
dc.typeArticleen

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