Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Two-dimensional phase unwrapping by quad-tree decomposition

Not Accessible

Your library or personal account may give you access

Abstract

One problem to be tackled when interferometric phase-shifting techniques are used is the method in which the phase can be reconstructed. Because an inverse trigonometric function appears in the formulation, the final data are not the phase, but the phase modulo 2π. A new phase-unwrapping algorithm based on a two-step procedure is presented. In the first step, the digital image to be analyzed is divided into continuous patches by a quad-tree-like recursive procedure; in the second step, the same level patches are joined together by an error-norm-minimizing approach to obtain larger, almost continuous ones. The basic idea of the procedure is to simplify the problem by factoring the complete image into square, variable-size, homogeneous areas (i.e., regions with no internal phase jump) so that only interfaces need to be dealt with. By hierarchically recombining the so-obtained subimages, an unwrapped phase field can be obtained. After a complete description of the algorithm, some examples of its use on synthesized digital images are illustrated. As the algorithm can be used with and without quality masks and the error-minimizing step can use different norms, a full class of unwrapping algorithms can be implemented by this approach.

© 2001 Optical Society of America

Full Article  |  PDF Article
More Like This
Robust, fast, and effective two-dimensional automatic phase unwrapping algorithm based on image decomposition

Miguel Arevallilo Herráez, Munther A. Gdeisat, David R. Burton, and Michael J. Lalor
Appl. Opt. 41(35) 7445-7455 (2002)

Robust phase-unwrapping algorithm with a spatial binary-tree image decomposition

Russell C. Hardie, Md. Iqbal Younus, and James Blackshire
Appl. Opt. 37(20) 4468-4476 (1998)

Fast two-dimensional phase-unwrapping algorithm based on sorting by reliability following a noncontinuous path

Miguel Arevallilo Herráez, David R. Burton, Michael J. Lalor, and Munther A. Gdeisat
Appl. Opt. 41(35) 7437-7444 (2002)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (13)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (6)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved