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Open AccessArticle

Absolute Phase Retrieval Using One Coded Pattern and Geometric Constraints of Fringe Projection System

School of Automation, Wuhan University of Technology, Wuhan 430070, China
Key Laboratory of Metallurgical Equipment and Control Technology, Ministry of Education, Wuhan University of Science and Technology, Wuhan 430081, China
Author to whom correspondence should be addressed.
Appl. Sci. 2018, 8(12), 2673;
Received: 30 October 2018 / Revised: 13 December 2018 / Accepted: 14 December 2018 / Published: 18 December 2018
(This article belongs to the Special Issue Holography, 3D Imaging and 3D Display)
Fringe projection technologies have been widely used for three-dimensional (3D) shape measurement. One of the critical issues is absolute phase recovery, especially for measuring multiple isolated objects. This paper proposes a method for absolute phase retrieval using only one coded pattern. A total of four patterns including one coded pattern and three phase-shift patterns are projected, captured, and processed. The wrapped phase, as well as average intensity and intensity modulation, are calculated from three phase-shift patterns. A code word encrypted into the coded pattern can be calculated using the average intensity and intensity modulation. Based on geometric constraints of fringe projection system, the minimum fringe order map can be created, upon which the fringe order can be calculated from the code word. Compared with the conventional method, the measurement depth range is significantly improved. Finally, the wrapped phase can be unwrapped for absolute phase map. Since only four patterns are required, the proposed method is suitable for real-time measurement. Simulations and experiments have been conducted, and their results have verified the proposed method. View Full-Text
Keywords: absolute phase retrieval; phase-shift; fringe order; geometric constraints absolute phase retrieval; phase-shift; fringe order; geometric constraints
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MDPI and ACS Style

Yang, X.; Zeng, C.; Luo, J.; Lei, Y.; Tao, B.; Chen, X. Absolute Phase Retrieval Using One Coded Pattern and Geometric Constraints of Fringe Projection System. Appl. Sci. 2018, 8, 2673.

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