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74 UEC Int’l Mini-Conference No.52

Fundamentals of Fringe Projection Profilometry and MATLAB

Algorithm Implementation

1
Shuo Zhan ,Yoko Miyamoto 2
1 UEC Exchange Study Program (JUSST Program)
2 Institute for Advance Science, the University of Electro­Communications
The University of Electro­Communications, Tokyo, Japan

Background Introduction
Fourier Transform Profilometry(FTP)
• Simple testing conditions A projector and camera : projecting sinusoidal
• Unable to further complete precise fringe and capturing the fringe images [1]
deformation and strain analysis Perform a two­dimensional fourier transform on
Applications: the captured fringe images
• Workpiece Surface Defect Detection
• Human Surface Topography Measurement Apply inverse fourier transform to the
• Image Processing and 3D Modeling fundamental frequency domain.
What I have learned and tried Extract the phase from the inverse Fourier
• Fourier transform profilometry transform and unwrap the phase.
• FTP code implementation(Matlab)

Materials and Methods

Fourier
transform

Interferogram [3] Spectrum of the
Interferogram
Flowchart of Fourier Transform Profilometry [2]

Results Discussion

Using sinusoidal fringe projection:
• Actual fringe images may deviate from the
ideal sinusoidal waveform
• Can be influenced by the angle between
the projector and camera, causing fiinge
distortion
• The phase variation between fringes is more
susceptible to noise interference.

Unwrapped phase Reconstruct 3D shape The measurement speed is limited by the
imagingspeed of the acquisition equipment.
Filtering operations can cause the loss of high
frequency information carried by the object.
Conclusions

The filtering process cannot eliminate all Future outlook
noise; Efforts should be made to minimize
noise introduction during projection.
In the simulation experiments, we need to Studying and using of the projection system
examine choice of filtering and shifting Analyze the phase difference of the interference fringes
parameters to remove large slope in the produced by two laser beams
recontructed 3D shape.

Reference:
[1] TAKEDA M,NA H,KOBAYASHI S. Fourier­transform method of fringe­pattern analysis for computer­based topography and interferometry[J]. Journal of the Optical Society of America,72 (1982) 156­160.
[2]WU Z.J, ZHANG Q. Research Progress on 3D Morphology and Deformation Measurement Technology Based on Fringe Projection [J]. Liquid Crystal and Display, 38(2023) 730­747.

[3]https://www.bilibili.com/video/BV1MJ4m147JF/?spm_id_from=333.337.top_right_bar_window_custom_collection.content.click&vd_source=1d4adc9a6befb4ff594f79801c755db9