Abstract

For temporal phase unwrapping in phase measuring profilometry, it has recently been reported that two phases with co-prime frequencies can be absolutely unwrapped using a look-up table; however, frequency selection and table construction has been performed manually without optimization. In this paper, a universal phase unwrapping method is proposed to unwrap phase flexibly and automatically by using geometric analysis, and thus we can programmatically build a one-dimensional or two-dimensional look-up table for arbitrary two co-prime frequencies to correctly unwrap phases in real time. Moreover, a phase error model related to the defocus effect is derived to figure out an optimal reference frequency co-prime to the principal frequency. Experimental results verify the correctness and computational efficiency of the proposed method.

Document Type

Article

Publication Date

4-29-2019

Notes/Citation Information

Published in Optics Express, v. 27, no. 9, 13357-13371.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

Users may use, reuse, and build upon the article, or use the article for text or data mining, so long as such uses are for non-commercial purposes and appropriate attribution is maintained. All other rights are reserved.

Digital Object Identifier (DOI)

https://doi.org/10.1364/OE.27.013357

Funding Information

National Natural Science Foundation of China (NSFC #61473198); Science and Technology Support Program of Sichuan Province, China (#2018GZ0198); Science and Technology Support Program of Chengdu City, China (#2018-YFYF-00029-GX); Intel Corporation and the National Science Foundation (1539157).

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