Optimal two-view planar scene triangulation

Authors:
Kenichi Kanatani;Hirotaka Niitsuma
Affiliations:
Department of Computer Science, Okayama University, Okayama, Japan;Department of Computer Science, Okayama University, Okayama, Japan
Venue:
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part II
Year:
2010

Citing 7
Cited 1

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Triangulating a plane

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Abstract

We present a new algorithm for optimally computing from point correspondences over two images their 3-D positions when they are constrained to be on a planar surface. We consider two cases: the case in which the plane and camera parameters are known and the case in which they are not. In the former, we show how observed point correspondences are optimally corrected so that they are compatible with the homography between the two images determined by the plane and camera parameters. In the latter, we show how the homography is optimally estimated by iteratively using the triangulation procedure.