Minimum {ital L}{sup {ital p}}-norm two-dimensional phase unwrapping
- Sandia National Laboratories, Albuquerque, New Mexico 87185 (United States)
We develop an algorithm for the minimum {ital L}{sup {ital p}}-norm solution to the two-dimensional phase unwrapping problem. Rather than its being a mathematically intractable problem, we show that the governing equations are equivalent to those that describe weighted least-squares phase unwrapping. The only exception is that the weights are data dependent. In addition, we show that the minimum {ital L}{sup {ital p}}-norm solution is obtained by embedding the transform-based methods for unweighted and weighted least squares within a simple iterative structure. The data-dependent weights are generated within the algorithm and need not be supplied explicitly by the user. Interesting and useful solutions to many phase unwrapping problems can be obtained when {ital p} h 2. Specifically, the minimum {ital L}{sup 0}-norm solution requires the solution phase gradients to equal the input data phase gradients in as many places as possible. This concept provides an interesting link to branch-cut unwrapping methods, where none existed previously. {copyright} {ital 1996 Optical Society of America.}
- Research Organization:
- Sandia National Laboratory
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC04-94AL85000
- OSTI ID:
- 390383
- Journal Information:
- Journal of the Optical Society of America, Part A: Optics and Image Science, Journal Name: Journal of the Optical Society of America, Part A: Optics and Image Science Journal Issue: 10 Vol. 13; ISSN 0740-3232; ISSN JOAOD6
- Country of Publication:
- United States
- Language:
- English
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