Year-end Sale % OFF 
Abstract
For improving the accuracy and processing speed of phase extraction, a new phase extraction algorithm based on the spatial carrier-frequency phase-shifting gradient (SCFPS-G) is proposed. First, three-frame sub-interferograms along the direction of spatial carrier-frequency phase-shifting gradient (SCFPS-G), which can be constructed by the differential method from only one-frame spatial carrier-frequency interferogram (SCFI). And then, the measured phase will be extracted by unknown phase-shifting algorithms. Compared with the existing spatial carrier-frequency phase-shifting (SCFPS) algorithms, the proposed SCFPS-G algorithm not only can improve the efficiency of constructing sub-interferograms, but also decrease one-frame sub-interferogram requirement for phase extraction, so the data redundancy of interferogram and the influence of noise will be reduced. Specially, it is found even if the carrier frequency becomes very small, corresponding to the large spatial bandwidth utilization of image sensor, the proposed SCFPS-G algorithm still can work well. And the obvious advantages of the SCFPS-G algorithm in accuracy, processing time and feasibility of phase extraction can be demonstrated by the numerical simulations and the experimental results.
Highlights
Dynamic phase measurement which requires rapid speed and high accuracy of phase extraction [1], [2] is an important research topic in phase-shifting interferometry (PSI), there are mainly Fourier transform (FT) algorithms [3], [4], spatial simultaneous phase-shifting algorithms [5] and spatial carrier-frequency phase-shifting (SCFPS) algorithms [6]–[12]
For improving the accuracy and processing speed of phase extraction, a new phase extraction algorithm based on the spatial carrier-frequency phase-shifting gradient (SCFPS-G) is proposed
Three-frame sub-interferograms along the direction of spatial carrier-frequency phase-shifting gradient (SCFPS-G), which can be constructed by the differential method from only one-frame spatial carrier-frequency interferogram (SCFI)
Summary
Dynamic phase measurement which requires rapid speed and high accuracy of phase extraction [1], [2] is an important research topic in phase-shifting interferometry (PSI), there are mainly Fourier transform (FT) algorithms [3], [4], spatial simultaneous phase-shifting algorithms [5] and spatial carrier-frequency phase-shifting (SCFPS) algorithms [6]–[12]. Though FT algorithm requires only one-frame spatial carrier-frequency interferogram (SCFI), but the corresponding accuracy of phase extraction is seriously affected by the filter window [13]–[15]. Least squares iteration (SCFPS-LSI) [10], the least squares iteration and the Fourier transform (SCFPS-FTLS) [11], the principal component analysis (SCFPS-PCA) [12], the diamond diagonal vectors (SCFPS-DDV) [16] and other algorithms Above these SCFPS algorithms need construct four-frame sub-interferograms, so the data redundancy and calculation time will be increased. A new phase extraction algorithm based on the spatial carrier-frequency phaseshifting gradient (SCFPS-G) is proposed, in which only three-frame sub-interferograms need to be constructed, and the measured phase will be obtained by the unknown phase-shifting algorithm. It is found that even if the carrier frequency becomes very small, corresponding to the large spatial bandwidth utilization of image sensor, the proposed SCFPS-G algorithms still can work well
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
