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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 31 — Nov. 1, 2010
  • pp: 6116–6126

Compression of periodic images for faster phase retrieval

Amos Talmi and Erez N. Ribak  »View Author Affiliations


Applied Optics, Vol. 49, Issue 31, pp. 6116-6126 (2010)
http://dx.doi.org/10.1364/AO.49.006116


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Abstract

In fringe analysis, or in projected grids for shape-from-shade, deviations from periodicity are used for finding phase changes. In another example, a Hartmann–Shack sensor produces a deformed grid of spots on a camera. The gradients of the original wavefront are calculated from that image by centroiding the spots or by demodulating them. The computation time rises linearly with the number of pixels in the image. We introduce a method to reduce the size of the image without loss of accuracy prior to the calculation to reduce the total processing time. The compressed result is superior to an image measured with reduced resolution. Hence, higher accuracy and speed are obtained by oversampling the image and reducing it correctly prior to calculations. Compression or expansion coefficients are calculated through the requirement to maintain the integrity of the original phase data.

© 2010 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(100.2650) Image processing : Fringe analysis
(100.5070) Image processing : Phase retrieval
(150.0150) Machine vision : Machine vision
(220.4840) Optical design and fabrication : Testing

ToC Category:
Machine Vision

History
Original Manuscript: April 27, 2010
Revised Manuscript: August 9, 2010
Manuscript Accepted: August 20, 2010
Published: October 28, 2010

Citation
Amos Talmi and Erez N. Ribak, "Compression of periodic images for faster phase retrieval," Appl. Opt. 49, 6116-6126 (2010)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-31-6116

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