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Related Experiment Video

Updated: Jun 21, 2026

High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques

High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques

Published on: December 3, 2013

Phase-error analysis and elimination for nonsinusoidal waveforms in Hilbert transform digital-fringe projection

Liudong Xiong¹, Shuhai Jia

¹School of Science, Xi'an Jiaotong University, Xi'an 710049, China. bear60@stu.xjtu.edu.cn

|August 4, 2009

Summary

Digital fringe-projection profilometry (FPP) systems can have measurement errors due to nonlinear intensity responses. A new cubic spline-smoothing method effectively eliminates phase errors caused by nonsinusoidal fringe patterns in FPP systems.

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Area of Science:

Optical metrology
3D surface measurement
Digital image processing

Background:

Digital fringe-projection profilometry (FPP) is a key technique for 3D surface measurement.
Nonlinear intensity response in FPP systems leads to nonsinusoidal fringe patterns.
Nonsinusoidal waveforms introduce phase errors, compromising measurement accuracy.

Purpose of the Study:

To theoretically analyze phase error in Hilbert transform FPP caused by nonsinusoidal waveforms.
To propose a novel method for eliminating nonsinusoidal phase error.
To validate the effectiveness of the proposed method in practical FPP applications.

Main Methods:

Theoretical analysis of phase error in Hilbert transform FPP.
Development of a cubic spline-smoothing algorithm for phase error correction.
Experimental validation of the proposed algorithm using a digital FPP system.

Main Results:

Derived a phase-error expression accounting for nonsinusoidal waveforms.
Demonstrated effective elimination of nonsinusoidal phase error using the cubic spline-smoothing method.
Confirmed the practical applicability of the algorithm in Hilbert transform FPP.

Conclusions:

The proposed cubic spline-smoothing method accurately eliminates phase errors in FPP.
This technique enhances the measurement accuracy of digital fringe-projection profilometry.
The findings contribute to improving the reliability of 3D surface reconstruction.