Goodness-of-prediction of Zernike polynomial fitting to corneal surfaces

2005 ◽  
Vol 31 (12) ◽  
pp. 2350-2355 ◽  
Author(s):  
Michael K. Smolek ◽  
Stephen D. Klyce
2013 ◽  
Vol 52 (8) ◽  
pp. 085101 ◽  
Author(s):  
Fengtao Yan ◽  
Bin Fan ◽  
Xi Hou ◽  
Fan Wu

2021 ◽  
Author(s):  
Suraj Raval ◽  
Onder Erin ◽  
Xiaolong Liu ◽  
Lamar O. Mair ◽  
Will Pryor ◽  
...  

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

2011 ◽  
Vol 58 (19-20) ◽  
pp. 1710-1715 ◽  
Author(s):  
Julián Espinosa ◽  
Jorge Pérez ◽  
David Mas ◽  
Carlos Illueca

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

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.


Sensors ◽  
2020 ◽  
Vol 21 (1) ◽  
pp. 187
Author(s):  
Marcelo A. Soto ◽  
Alin Jderu ◽  
Dorel Dorobantu ◽  
Marius Enachescu ◽  
Dominik Ziegler

A high-order polynomial fitting method is proposed to accelerate the computation of double-Gaussian fitting in the retrieval of the Brillouin frequency shifts (BFS) in optical fibers showing two local Brillouin peaks. The method is experimentally validated in a distributed Brillouin sensor under different signal-to noise ratios and realistic spectral scenarios. Results verify that a sixth-order polynomial fitting can provide a reliable initial estimation of the dual local BFS values, which can be subsequently used as initial parameters of a nonlinear double-Gaussian fitting. The method demonstrates a 4.9-fold reduction in the number of iterations required by double-Gaussian fitting and a 3.4-fold improvement in processing time.


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