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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 53, Iss. 13 — May. 1, 2014
  • pp: 2806–2814

Fast and noninterpolating method for subpixel displacement analysis of digital speckle images using phase shifts of spatial frequency spectra

Helin Lu, Chaohong Huang, Cheng Wang, Xiaozhong Wang, Hongyan Fu, and Ziyi Chen  »View Author Affiliations

Applied Optics, Vol. 53, Issue 13, pp. 2806-2814 (2014)

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A fast noninterpolation method for calculating displacement of digital speckle images with subpixel precision was introduced. In this method, the precise displacement is obtained from phase shifts of spatial frequency spectra of two digital speckle images instead of digital correlation calculation. First, digital speckle images before and after displacement are windowed and fast Fourier transform is performed. Then, phase shifts of different spatial frequencies are linearly fitted in spectral space using the least square method, and a coarse displacement value is directly calculated according to the phase shift theorem of Fourier transform. By a window technique and iterative procedure, the influence of finite image size on the accuracy of the results is eliminated, and the accurate displacement is obtained finally. It is significant that the method obtains the subpixel-precision displacement without any interpolation operations. The test results show that the method has high computing efficiency, high precision, and good robustness to low image quality.

© 2014 Optical Society of America

OCIS Codes
(030.6140) Coherence and statistical optics : Speckle
(100.2000) Image processing : Digital image processing
(120.6150) Instrumentation, measurement, and metrology : Speckle imaging
(350.5030) Other areas of optics : Phase

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: January 6, 2014
Revised Manuscript: March 24, 2014
Manuscript Accepted: March 26, 2014
Published: April 24, 2014

Helin Lu, Chaohong Huang, Cheng Wang, Xiaozhong Wang, Hongyan Fu, and Ziyi Chen, "Fast and noninterpolating method for subpixel displacement analysis of digital speckle images using phase shifts of spatial frequency spectra," Appl. Opt. 53, 2806-2814 (2014)

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