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Updated: Jun 23, 2026

High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques
Published on: December 3, 2013
Phase error analysis and compensation for nonsinusoidal waveforms in phase-shifting digital fringe projection
Bing Pan1, Qian Kemao, Lei Huang
1School of Mechanical and Aerospace Engineering, Nanyang Technological University, 639798, Singapore. panb04@mails.tsinghua.edu.cn
Digital fringe projection profilometry (FPP) systems suffer phase errors due to nonlinear intensity responses. A new iterative algorithm effectively compensates for these errors, improving measurement accuracy in 3D profilometry.
Area of Science:
- Optical Metrology
- 3D Measurement Technologies
- Digital Imaging Systems
Background:
- Digital fringe projection profilometry (FPP) is a key 3D measurement technique.
- Nonlinear intensity responses in FPP systems distort fringe patterns.
- This distortion introduces phase measurement errors in standard algorithms.
Purpose of the Study:
- To theoretically analyze phase errors caused by nonsinusoidal waveforms in FPP.
- To develop a novel algorithm for compensating these phase errors.
- To validate the effectiveness of the proposed compensation method.
Main Methods:
- Theoretical analysis of phase error in FPP systems.
- Development of an iterative phase compensation algorithm.
- Experimental validation using phase-shifting FPP.
Main Results:
- Nonsinusoidal waveforms directly lead to phase measurement errors.
- The proposed iterative algorithm effectively compensates for these errors.
- Experimental results confirm the algorithm's practical applicability.
Conclusions:
- The nonlinear intensity response is a significant source of error in FPP.
- The novel iterative algorithm provides accurate phase error compensation.
- This method enhances the reliability of 3D measurements using phase-shifting FPP.
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