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http://dx.doi.org/10.4218/etrij.12.0212.0089

An Analytic Solution to Projector Pose Estimation Problem  

Lee, Joo-Haeng (IT Convergence Technology Research Laboratory, ETRI)
Publication Information
ETRI Journal / v.34, no.6, 2012 , pp. 978-981 More about this Journal
Abstract
We present an analytic solution to the projector pose estimation problem for the pinhole projection model in which the source image is a centered rectangle with an unknown aspect ratio. From a single quadrilateral given as a target image, our solution gives the position and orientation of a projector as well as the aspect ratio of a source image. The proposed method decomposes the problem into two pose estimation problems of coupled line projectors aligned at each diagonal of the given quadrilateral and then computes the common solution that satisfies the relevant geometric constraints. The solution is formulated as simple analytic equations. We also provide a determinant of projectability of an arbitrary quadrilateral.
Keywords
Coupled line projectors; projector calibration; spatial augmented reality; projectability; inverse projection;
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