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Accepted as poster presentation for ICPR 2014, Stockholm, Sweden on August 24~28, 2014.
[Revised Version]
Title: New geometric interpretation and analytic solution for quadrilateral reconstruction
Author: JooHaeng Lee
Affiliation: HumanRobot Interaction Research Team, ETRI, KOREA
Abstract:
A new geometric framework, called generalized coupled line camera (GCLC), is proposed to derive an analytic solution to reconstruct an unknown scene quadrilateral and the relevant projective structure from a single or multiple image quadrilaterals. We extend the previous approach developed for rectangle to handle arbitrary scene quadrilaterals. First, we generalize a single line camera by removing the centering constraint that the principal axis should bisect a scene line. Then, we couple a pair of generalized line cameras to model a frustum with a quadrilateral base. Finally, we show that the scene quadrilateral and the center of projection can be analytically reconstructed from a single view when prior knowledge on the quadrilateral is available. A completely unknown quadrilateral can be reconstructed from four views through nonlinear optimization. We also describe a improved method to handle an offcentered case by geometrically inferring a centered proxy quadrilateral, which accelerates a reconstruction process without relying on homography. The proposed method is easy to implement since each step is expressed as a simple analytic equation. We present the experimental results on real and synthetic examples.
[Submitted Version]
Title: Generalized Coupled Line Cameras and Application in Quadrilateral Reconstruction
Abstract:
Coupled line camera (CLC) provides a geometric framework to derive an analytic solution to reconstruct an unknown scene rectangle and the relevant projective structure from a single image quadrilateral. We extend this approach as generalized coupled line camera (GCLC) to handle a scene quadrilateral. First, we generalize a single line camera by removing the centering constraint that the principal axis should bisect a scene line. Then, we couple a pair of generalized line cameras to model a frustum with a quadrilateral base. Finally, we show that the scene quadrilateral and the center of projection can be analytically reconstructed from a single view when prior knowledge on the quadrilateral is available. ...
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