Phase Retrieval of Phase-Shifting Interferometry with Iterative Least-Squares Fitting Algorithm: Experiments

1999 ◽  
Vol 6 (3) ◽  
pp. 196-203 ◽  
Author(s):  
Hongxin Huang ◽  
Masahide Itoh ◽  
Toyohiko Yatagai
Keyword(s):  
Least Squares ◽  
Phase Retrieval ◽  
Phase Shifting ◽  
Least Squares Fitting ◽  
Phase Shifting Interferometry ◽  
Fitting Algorithm

scholarly journals An Error-Reduction Method for Temporal Phase Unwrapping Based on Double Three-Step Phase-Shifting and Least-Squares Fitting

2012 ◽  
Vol 6-7 ◽  
pp. 76-81
Author(s):  
Yong Liu ◽  
Ding Fa Huang ◽  
Yong Jiang
Keyword(s):  
Least Squares ◽  
Reduction Method ◽  
Intermediate Phase ◽  
Error Reduction ◽  
Phase Unwrapping ◽  
Phase Shifting ◽  
Surface Measurement ◽  
Acquisition Time ◽  
Least Squares Fitting ◽  
Temporal Phase

Phase-shifting interferometry on structured light projection is widely used in 3-D surface measurement. An investigation shows that least-squares fitting can significantly decrease random error by incorporating data from the intermediate phase values, but it cannot completely eliminate nonlinear error. This paper proposes an error-reduction method based on double three-step phase-shifting algorithm and least-squares fitting, and applies it on the temporal phase unwrapping algorithm using three-frequency heterodyne principle. Theoretical analyses and experiment results show that this method can greatly save data acquisition time and improve the precision.

Improved accuracy phase retrieval in spatial phase-shifting interferometry

2012 ◽  
Vol 285 (5) ◽  
pp. 517-520 ◽  
Author(s):  
Maurizio Vannoni ◽  
Mauro Melozzi ◽  
Marco Barilli ◽  
Andrea Sordini ◽  
Giuseppe Molesini
Keyword(s):  
Phase Retrieval ◽  
Phase Shifting ◽  
Spatial Phase ◽  
Phase Shifting Interferometry ◽  
Improved Accuracy

Generalized phase-shifting interferometry by parameter estimation with the least squares method

2013 ◽  
Vol 51 (5) ◽  
pp. 626-632 ◽  
Author(s):  
Rigoberto Juarez-Salazar ◽  
Carlos Robledo-Sánchez ◽  
Cruz Meneses-Fabian ◽  
Fermin Guerrero-Sánchez ◽  
L.M. Arévalo Aguilar
Keyword(s):  
Parameter Estimation ◽  
Least Squares ◽  
Least Squares Method ◽  
Phase Shifting ◽  
Phase Shifting Interferometry

Frequency domain phase retrieval of simultaneous multi-wavelength phase-shifting interferometry

2016 ◽  
Vol 18 (5) ◽  
pp. 055704 ◽  
Author(s):  
Zhenxing Yin ◽  
Liyun Zhong ◽  
Xiaofei Xu ◽  
Wangping Zhang ◽  
Jindong Tian ◽  
...  
Keyword(s):  
Frequency Domain ◽  
Phase Retrieval ◽  
Phase Shifting ◽  
Phase Shifting Interferometry ◽  
Multi Wavelength ◽  
Domain Phase
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