Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods

Journal Article · Fri Dec 31 23:00:00 EST 1993 · Journal of the Optical Society of America, Part A: Optics and Image Science; (United States)

DOI:https://doi.org/10.1364/JOSAA.11.000107· OSTI ID:5125238

Ghiglia, D C; Romero, L A ^[1]

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1. Sandia National Laboratories, Albuquerque, New Mexico 87185 (United States)

Two-dimensional (2D) phase unwrapping continues to find applications in a wide variety of scientific and engineering areas including optical and microwave interferometry, adaptive optics, compensated imaging, and synthetic-aperture-radar phase correction, and image processing. We have developed a robust method (not based on any path-following scheme) for unwrapping 2D phase principal values (in a least-squares sense) by using fast cosine transforms. If the 2D phase values are associated with a 2D weighting, the fast transforms can still be used in iterative methods for solving the weighted unwrapping problem. Weighted unwrapping can be used to isolate inconsistent regions (i.e., phase shear) in an elegant fashion.

• DOE Contract Number: AC04-76DP00789
• OSTI ID: 5125238
• Journal Information: Journal of the Optical Society of America, Part A: Optics and Image Science; (United States), Journal Name: Journal of the Optical Society of America, Part A: Optics and Image Science; (United States) Vol. 11:1; ISSN 0740-3232; ISSN JOAOD6
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
CALCULATION METHODS
IMAGE PROCESSING
ITERATIVE METHODS
LEAST SQUARE FIT
MATHEMATICAL LOGIC
MAXIMUM-LIKELIHOOD FIT
NUMERICAL SOLUTION
PROCESSING
TWO-DIMENSIONAL CALCULATIONS