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Proceedings Paper

Universal phase unwrapping for phase measuring profilometry using geometry analysis
Author(s): Jianwen Song; Yo-Sung Ho; Daniel L. Lau; Kai Liu
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Paper Abstract

Traditionally temporal phase unwrapping for phase measuring profilometry needs to employ the phase computed from unit-frequency patterned images; however, it has recently been reported that two phases with co-prime frequencies can be absolutely unwrapped each other. However, a manually man-made look-up table for two known frequencies has to be used for correctly unwrapping phases. If two co-prime frequencies are changed, the look-up table has to be manually rebuilt. In this paper, a universal phase unwrapping algorithm is proposed to unwrap phase flexibly and automatically. The basis of the proposed algorithm is converting a signal-processing problem into a geometric analysis one. First, we normalize two wrapped phases such that they are of the same needed slope. Second, by using the modular operation, we unify the integer-valued difference of the two normalized phases over each wrapping interval. Third, by analyzing the properties of the uniform difference mathematically, we can automatically build a look-up table to record the corresponding correct orders for all wrapping intervals. Even if the frequencies are changed, the look-up table will be automatically updated for the latest involved frequencies. Finally, with the order information stored in the look-up table, the wrapped phases can be correctly unwrapped. Both simulations and experimental results verify the correctness of the proposed algorithm.

Paper Details

Date Published: 22 February 2018
PDF: 8 pages
Proc. SPIE 10546, Emerging Digital Micromirror Device Based Systems and Applications X, 105460B (22 February 2018); doi: 10.1117/12.2289423
Show Author Affiliations
Jianwen Song, Sichuan Univ. (China)
Yo-Sung Ho, Gwangju Institute of Science and Technology (Korea, Republic of)
Daniel L. Lau, Univ. of Kentucky (United States)
Kai Liu, Sichuan Univ. (China)

Published in SPIE Proceedings Vol. 10546:
Emerging Digital Micromirror Device Based Systems and Applications X
Michael R. Douglass; Benjamin L. Lee, Editor(s)

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