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Proceedings Paper

Performance evaluation of a phase retrieval algorithm from sequences of interferograms with unknown phase shifts using generalized N-dimensional Lissajous figures
Author(s): Armando Albertazzi Jr.; Analucia Fantin; Mauro Benedet; Daniel Willemann; Allison Maia
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Paper Abstract

Phase retrieval is a basic step for most interferometric techniques. Both spatial and temporal approaches are frequently used. Temporal methods require a sequence of images with very well know phase shifting increments to produce accurate results. Sometimes environmental disturbances can add random phase values that can result in a sequence of images with virtually unknown phase shift increments. This paper presents and evaluates an approach to retrieve phase values from a sequence of five or more phase shifted images by unknown quantities. The phase shifting increments are determined from Lissajous ellipsis. This paper introduces the use of N-dimensional Lissajous figures to determine phase shifting increments. The use of additional dimensions makes the phase shifting increment determination more robust and less dependent of the pixel choices. The mathematical background is detailed and discussed. The paper presents and evaluates simulations and real world examples using fringe projection and speckle interferometry.

Paper Details

Date Published: 18 August 2014
PDF: 11 pages
Proc. SPIE 9203, Interferometry XVII: Techniques and Analysis, 92030O (18 August 2014); doi: 10.1117/12.2063352
Show Author Affiliations
Armando Albertazzi Jr., Univ. Federal de Santa Catarina (Brazil)
Analucia Fantin, Univ. Federal de Santa Catarina (Brazil)
Mauro Benedet, Univ. Federal de Santa Catarina (Brazil)
Daniel Willemann, Univ. Federal de Santa Catarina (Brazil)
Allison Maia, Univ. Federal de Santa Catarina (Brazil)

Published in SPIE Proceedings Vol. 9203:
Interferometry XVII: Techniques and Analysis
Katherine Creath; Jan Burke; Joanna Schmit, Editor(s)

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