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Coplanar Common Points in Non-centric Cameras*
Wei Yang1, Yu Ji1, Jinwei Ye2, S. Susan Young2, and Jingyi Yu1
1University of Delaware, Newark, DE 19716, USA
2US Army Research Laboratory, Adelphi, MD 20783, USA
Abstract. Discovering and extracting new image features pertaining to scene geometry is important to 3D reconstruction and scene understanding. Examples include the classical vanishing points observed in a centric camera and the recent coplanar common points (CCPs) in a crossed-slit camera [21,17]. A CCP is a point in the image plane corresponding to the intersection of the projections of all lines lying on a common 3D plane. In this paper, we address the problem of determining CCP existence in general non-centric cameras. We first conduct a ray-space analysis to show that finding the CCP of a 3D plane is equivalent to solving an array of ray constraint equations. We then derive the necessary and sufficient conditions for CCP to exist in an arbitrary non-centric camera such as non-centric catadioptric mirrors. Finally, we present robust algorithms for extracting the CCPs from a single image and validate our theories and algorithms through experiments.
Electronic Supplementary Material:
LNCS 8689, p. 220 ff.
lncs@springer.com
© Springer International Publishing Switzerland 2014