Semi-metric space: a new approach to treat orthogonality and parallelism

Authors:
Jun-Sik Kim;In So Kweon
Affiliations:
Dept. of EECS, KAIST, Daejeon, Korea;Dept. of EECS, KAIST, Daejeon, Korea
Venue:
ACCV'06 Proceedings of the 7th Asian conference on Computer Vision - Volume Part I
Year:
2006

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Abstract

We 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.