Phase Unwrapping Using the Complex Zeros of a Band-limited Function and the Presence of Ambiguities in Two Dimensions
- 1 June 1984
- journal article
- research article
- Published by Taylor & Francis in Optica Acta: International Journal of Optics
- Vol. 31 (6) , 619-623
- https://doi.org/10.1080/713821553
Abstract
A new phase unwrapping algorithm is presented in which the phase is determined from the complex zeros of a band-limited function. Fast zero location is performed using a Newton-Kantorovich algorithm. By considering the behaviour of real zeros in two dimensions it is shown that the existence of such zeros can lead to ambiguities in the unwrapped phase. This has important implications for wavefront estimation, homomorphic signal processing, and methods in inverse scattering.Keywords
This publication has 8 references indexed in Scilit:
- Wave-front dislocations: topological limitations for adaptive systems with phase conjugationJournal of the Optical Society of America, 1983
- A Comparison Study of Some Computational Methods for Locating the Zeros of Entire FunctionsOptica Acta: International Journal of Optics, 1983
- Two-dimensional scattered fields: A description in terms of the zeros of entire functionsJournal of Mathematical Physics, 1982
- Further Results on Diffraction Tomography Using Rytov’s ApproximationPublished by Springer Nature ,1982
- Encoding of Information in Inverse Optical ProblemsOptica Acta: International Journal of Optics, 1982
- Application of phase unwrapping to image restorationComputer Graphics and Image Processing, 1981
- A new phase unwrapping algorithmIEEE Transactions on Acoustics, Speech, and Signal Processing, 1977
- Dislocations in wave trainsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1974