Robust phase unwrapping algorithm based on Zernike polynomial fitting and Swin-Transformer network

Author(s):  
Zixin Zhao ◽  
Menghang Zhou ◽  
Yijun Du ◽  
Junxiang Li ◽  
Chen Fan ◽  
...  

Abstract Phase unwrapping plays an important role in optical phase measurements. In particular, phase unwrapping under heavy noise conditions remains an open issue. In this paper, a deep learning-based method is proposed to conduct the phase unwrapping task by combining Zernike polynomial fitting and a Swin-Transformer network. In this proposed method, phase unwrapping is regarded as a regression problem, and the Swin-Transformer network is used to map the relationship between the wrapped phase data and the Zernike polynomial coefficients. Because of the self-attention mechanism of the transformer network, the fitting coefficients can be estimated accurately even under extremely harsh noise conditions. Simulation and experimental results are presented to demonstrate the outperformance of the proposed method over the other two polynomial fitting-based methods. This is a promising phase unwrapping method in optical metrology, especially in electronic speckle pattern interferometry.

2004 ◽  
Author(s):  
David McGuire ◽  
Tara M. Dalton ◽  
Mark R. Davies

This paper investigates the relationship between mass and momentum transport. This study of mass transfer is an important design consideration when looking at engineering processes such as evaporation, chemical reactions, corrosion and mixing. Little is know about the relationship. Using the non-intrusive optical technique of Electronic Speckle Pattern Interferometry (ESPI), concentration profile measurements were carried out. A phase-shifting algorithm was also employed to give whole field measurements. Momentum transport in the velocity boundary layer was examined using Particle Image Velocimetry (PIV), which is also a non-intrusive optical technique. The two measurements were taken independently so as to reduce the effect that seed particles may have on the interferometric measurements. A concentration profile was developed above a surface by passing airflow across a flat plate containing a well of ethanol. The rate of mass transfer is obtained from the concentration profile produced as the ethanol vapour diffuses into the airflow. The experiment is set up to measure diffusion from a flat plate and to compare it with the integral solution of the mass transfer equation. Data is presented to show the dependence of the Sherwood number on the Reynolds number.


1997 ◽  
Vol 36 (1) ◽  
pp. 266 ◽  
Author(s):  
S. Yoshida ◽  
Suprapedi ◽  
R. Widiastuti ◽  
Marincan ◽  
Septriyanti ◽  
...  

Optik ◽  
2001 ◽  
Vol 112 (11) ◽  
pp. 515-520 ◽  
Author(s):  
R.A. Martínez-Celorio ◽  
A. Dávila ◽  
B. Barrientos ◽  
J.H. Puga ◽  
Luis Martí López

2022 ◽  
Vol 152 ◽  
pp. 106952
Author(s):  
Zixin Zhao ◽  
Junxiang Li ◽  
Chen Fan ◽  
Yijun Du ◽  
Menghang Zhou ◽  
...  

2013 ◽  
Vol 307 ◽  
pp. 321-326 ◽  
Author(s):  
Yan Bin He ◽  
Xin Zhong Li ◽  
Wei Min Chen ◽  
Jun Song Wen

Phase unwrapping is one of the key technologies in electronic speckle pattern interferometry. A new phase unwrapping algorithm, based on windowed Fourier transform is proposed. The high noisy phase map is denoised by the window Fourier transform approach and then is uwrapped by the discrete cosine transform. The method is tested in this paper using a circumferentially fixed circular plate with a point load at the centre and compared with not denoised wrapped phase map and unwrapped phase map. The result shows the new proposed phase unwrapping method in denoising and improving image quality has obvious superiority.


2014 ◽  
Vol 26 (1) ◽  
pp. 017001 ◽  
Author(s):  
Zixin Zhao ◽  
Hong Zhao ◽  
Lu Zhang ◽  
Fen Gao ◽  
Yuwei Qin ◽  
...  

1998 ◽  
Vol 14 (1) ◽  
pp. 31-39 ◽  
Author(s):  
C. W. Chen ◽  
H. Y. Chang ◽  
C. K. Lee

ABSTRACTPhase shifting technique is one of the most important technologies in the metrology field. Simply by performing an interferogram measurement, and then adopting the phase shifting technique to unwrap the interferogram into a phase map, tasks such as object surface profile reconstruction, holographic interferometry, electronic speckle pattern interferometry, etc., can all be easily accomplished. An innovative phase shifting system, which uses piezoelectric actuators to execute phase shifting first and then implementing a cellular automata algorithm to unwrap phase data, was designed, built, and tested. Since cellular automata is a true parallel process, and noise appearing within the interferogram will not get propagated, this novel system is far more robust than the systems based on the traditional path following phase-unwrapping algorithm. In addition, this new algorithm also provides us with a way to adopt phase-masks within the cellular automata implementations of the phase unwrap operations. All these newly developed techniques make this newly developed system adaptable to many metrology applications, even when high noise is present or when lateral shear exists within the image field. The successful incorporation of the phase-mask approach into the cellular automata phase unwrapping algorithm essentially makes this newly developed system adaptable to take phase map measurements in many practical applications.


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