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Title: Generic nonsinusoidal phase error correction for three-dimensional shape measurement using a digital video projector

Abstract

A structured light system using a digital video projector is widely used for 3D shape measurement. However, the nonlinear {gamma} of the projector causes the projected fringe patterns to be nonsinusoidal, which results in phase error and therefore measurement error. It has been shown that, by using a small look-up table (LUT), this type of phase error can be reduced significantly for a three-step phase-shifting algorithm. We prove that this algorithm is generic for any phase-shifting algorithm. Moreover, we propose a new LUT generation method by analyzing the captured fringe image of a flat board directly. Experiments show that this error compensation algorithm can reduce the phase error to at least 13 times smaller.

Authors:
;
Publication Date:
OSTI Identifier:
20854004
Resource Type:
Journal Article
Journal Name:
Applied Optics
Additional Journal Information:
Journal Volume: 46; Journal Issue: 1; Other Information: DOI: 10.1364/AO.46.000036; (c) 2007 Optical Society of America; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-6935
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; CORRECTIONS; ERRORS; IMAGES; NONLINEAR PROBLEMS; THREE-DIMENSIONAL CALCULATIONS; VISIBLE RADIATION

Citation Formats

Song, Zhang, and Yau, S -T. Generic nonsinusoidal phase error correction for three-dimensional shape measurement using a digital video projector. United States: N. p., 2007. Web. doi:10.1364/AO.46.000036.
Song, Zhang, & Yau, S -T. Generic nonsinusoidal phase error correction for three-dimensional shape measurement using a digital video projector. United States. https://doi.org/10.1364/AO.46.000036
Song, Zhang, and Yau, S -T. 2007. "Generic nonsinusoidal phase error correction for three-dimensional shape measurement using a digital video projector". United States. https://doi.org/10.1364/AO.46.000036.
@article{osti_20854004,
title = {Generic nonsinusoidal phase error correction for three-dimensional shape measurement using a digital video projector},
author = {Song, Zhang and Yau, S -T},
abstractNote = {A structured light system using a digital video projector is widely used for 3D shape measurement. However, the nonlinear {gamma} of the projector causes the projected fringe patterns to be nonsinusoidal, which results in phase error and therefore measurement error. It has been shown that, by using a small look-up table (LUT), this type of phase error can be reduced significantly for a three-step phase-shifting algorithm. We prove that this algorithm is generic for any phase-shifting algorithm. Moreover, we propose a new LUT generation method by analyzing the captured fringe image of a flat board directly. Experiments show that this error compensation algorithm can reduce the phase error to at least 13 times smaller.},
doi = {10.1364/AO.46.000036},
url = {https://www.osti.gov/biblio/20854004}, journal = {Applied Optics},
issn = {0003-6935},
number = 1,
volume = 46,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 2007},
month = {Mon Jan 01 00:00:00 EST 2007}
}