Generalized orthogonal wavelet phase reconstuction
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Authors
Axtell, Travis W.
Cristi, Roberto
Subjects
Active or adaptive optics
Image processing
Wave-front sensing
Wavelets
Image processing
Wave-front sensing
Wavelets
Advisors
Date of Issue
2013-05
Date
Publisher
Optical Society of America
Language
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.
Type
Article
Description
The article of record as published may be found at http://dx.doi.org/10.1364/JOSSA.30.000859
Series/Report No
Department
Electrical and Computer Engineering
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Department of Defense SMART Scholarship
Space and Naval Warfare Command
Space and Naval Warfare Command
Funder
Format
12 p.
Citation
T.W. Axtell, R. Cristi, "Generalized orthogonal wavelet phase reconstruction," Journal of Optical Society of America, A, v.30, no.5, (May 2013), pp. 859-870.
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.