PERCEPTIONPublicationsMultiple-View Geometry of the Refractive Plane
Proceedings of the 20th British Machine Vision Conference, London, UK - sep 2009 Multiple-View Geometry of the Refractive Plane
Abstract
Transparent refractive objects are one of the main problems in geometric vision that have been
largely unexplored. The imaging and multi-view geometry of scenes with transparent or
translucent objects with refractive properties is relatively less well understood than for opaque
objects. The main objective of our work is to analyze the underlying multi-view relationships
between cameras, when the scene being viewed contains a single refractive planar surface
separating two different media. Such a situation might occur in scenarios like underwater
photography. Our main result is to show the existence of geometric entities like the fundamental
matrix, and the homography matrix in such instances. In addition, under special circumstances we
also show how to compute the relative pose between two cameras immersed in one of the two media.

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