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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 30, Iss. 5 — May. 1, 2013
  • pp: 859–870

Generalized orthogonal wavelet phase reconstruction

Travis W. Axtell and Roberto Cristi  »View Author Affiliations


JOSA A, Vol. 30, Issue 5, pp. 859-870 (2013)
http://dx.doi.org/10.1364/JOSAA.30.000859


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Abstract

Phase reconstruction is used for feedback control in adaptive optics systems. To achieve performance metrics for high actuator density or with limited processing capabilities on spacecraft, a wavelet signal processing technique is advantageous. Previous derivations of this technique have been limited to the Haar wavelet. This paper derives the relationship and algorithms to reconstruct phase with O(n) computational complexity for wavelets with the orthogonal property. This has additional benefits for performance with noise in the measurements. We also provide details on how to handle the boundary condition for telescope apertures.

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(100.0100) Image processing : Image processing
(100.7410) Image processing : Wavelets

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: October 19, 2012
Revised Manuscript: March 13, 2013
Manuscript Accepted: March 13, 2013
Published: April 12, 2013

Citation
Travis W. Axtell and Roberto Cristi, "Generalized orthogonal wavelet phase reconstruction," J. Opt. Soc. Am. A 30, 859-870 (2013)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-5-859

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