Title
Phase retrieval algorithm by fitting ellipses and computing Euclidean Distances Phase retrieval algorithm by fitting ellipses and computing Euclidean Distances
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
conferenceObject
Publication
Maastricht :Shaker publishing bv ,
Subject
Physics
Engineering sciences. Technology
Source (journal)
OPTICAL MEASUREMENT TECHNIQUES FOR STRUCTURES & SYSTEMS III
Source (book)
6th International Conference on Optical Measurement Techniques for, Structures and Systems III (OPTIMESS2015), APR 08-09, 2015, Univ Antwerp, Univ Antwerp, Antwerp, BELGIUM
Volume/pages
(2016) , p. 171-180
ISBN
978-90-423-0439-0
ISI
000373413300017
Carrier
E
Target language
English (eng)
Affiliation
University of Antwerp
Abstract
This work presents a novel algorithm for phase extraction based on the Euclidean distance from a point to an ellipse, named The Euclidean Distance (ED) method. The ED method avoids the use of the tangent function and under certain conditions may be more accurate than phase-shifting algorithms (PSA). The present ED method involves two important tasks: the first is done by fitting ellipses to intensity data (points) by the method of least squares, and the second is done by computing the Euclidean distance from the intensity points to the fitted ellipse. We developed a numerical simulation to validate our proposal by considering that the background and modulation light are spatial functions varying smoothly. The present algorithm also is applied to experimental interferograms and is compared with a phase-shifting algorithm.
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