Publication: Applications of algorithmic differentiation to phase retrieval algorithms
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Applications of algorithmic differentiation to phase retrieval algorithms

- Article in a journal -
 

Area
Imaging Science

Author(s)
Alden S. Jurling , James R. Fienup

Published in
J. Opt. Soc. Am. A

Year
2014

Publisher
Optica Publishing Group

Abstract
In this paper, we generalize the techniques of reverse-mode algorithmic differentiation to include elementary operations on multidimensional arrays of complex numbers. We explore the application of the algorithmic differentiation to phase retrieval error metrics and show that reverse-mode algorithmic differentiation provides a framework for straightforward calculation of gradients of complicated error metrics without resorting to finite differences or laborious symbolic differentiation.

BibTeX
@ARTICLE{
         Jurling2014Aoa,
       author = "Alden S. Jurling and James R. Fienup",
       journal = "J. Opt. Soc. Am. A",
       keywords = "Mathematical methods in physics; Numerical approximation and analysis; Wave-front
         sensing; Phase retrieval; Computer simulation; Fourier transforms; Phase retrieval; Point spread
         function; Wave front sensing; Wavefront aberrations",
       number = "7",
       pages = "1348--1359",
       publisher = "Optica Publishing Group",
       title = "Applications of algorithmic differentiation to phase retrieval algorithms",
       volume = "31",
       month = "Jul",
       year = "2014",
       url = "https://opg.optica.org/josaa/abstract.cfm?URI=josaa-31-7-1348",
       doi = "10.1364/JOSAA.31.001348",
       abstract = "In this paper, we generalize the techniques of reverse-mode algorithmic
         differentiation to include elementary operations on multidimensional arrays of complex numbers. We
         explore the application of the algorithmic differentiation to phase retrieval error metrics and show
         that reverse-mode algorithmic differentiation provides a framework for straightforward calculation
         of gradients of complicated error metrics without resorting to finite differences or laborious
         symbolic differentiation.",
       ad_area = "Imaging Science"
}


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