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Journal Article Geometric Correction for Uneven Quadric Projection Surfaces Using Recursive Subdivision of Bézier Patches
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Authors
Atif Ahmed, Rehan Hafiz, Muhammad Murtaza Khan, Yongju Cho, Jihun Cha
Issue Date
2013-12
Citation
ETRI Journal, v.35, no.6, pp.1115-1125
ISSN
1225-6463
Publisher
한국전자통신연구원 (ETRI)
Language
English
Type
Journal Article
DOI
https://dx.doi.org/10.4218/etrij.13.0112.0597
Abstract
This paper presents a scheme for geometric correction of projected content for planar and quadratic projection surfaces. The scheme does not require the projection surface to be perfectly quadratic or planar and is therefore suitable for uneven low-cost commercial and home projection surfaces. An approach based on the recursive subdivision of second-order B챕zier patches is proposed for the estimation of projection distortion owing to surface imperfections. Unlike existing schemes, the proposed scheme is completely automatic, requires no prior knowledge of the projection surface, and uses a single uncalibrated camera without requiring any physical markers on the projection surface. Furthermore, the scheme is scalable for geometric calibration of multiprojector setups. The efficacy of the proposed scheme is demonstrated using simulations and via practical experiments on various surfaces. A relative distortion error metric is also introduced that provides a quantitative measure of the suppression of geometric distortions, which occurs as the result of an imperfect projection surface. © 2013 ETRI.
KSP Keywords
Distortion error, Error metric, Existing schemes, Geometric correction, Geometric distortions, Low-cost, Quantitative measure, Uncalibrated camera, geometric calibration, prior knowledge, second-order