Green's formulation for robust phase unwrapping in digital holography

Optics and Lasers in Engineering

Volumn 45, Issue 6, 2007, Pages 750-755

  Aiello, L ^a,b   Riccio, D ^a   Ferraro, P ^b   Grilli, S ^b   Sansone, L ^b   Coppola, G ^c   De Nicola, S ^d   Finizio, A ^d  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b ISTITUTO NAZIONALE DI OTTICA   (Italy)

^c CNR   (Italy)

^d CNR   (Italy)

Author keywords

Digital holography; Green's first identity; Unwrapping

Indexed keywords

ALGORITHMS; CONFORMAL MAPPING; GREEN'S FUNCTION; NUMERICAL METHODS; THREE DIMENSIONAL;

DIGITAL HOLOGRAPHY (DH); FRINGE PATTERNS; GREEN'S FIRST IDENTITY; UNWRAPPING;

HOLOGRAPHY;

EID: 33947233354     PISSN: 01438166     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.optlaseng.2006.10.002     Document Type: Article

References (15)

1. Ferraro P, De Nicola S, Finizio A, Coppola G, Alfieri D, Aiello L, Grilli S, Pierattini G. Controlling several image parameters in the digital holographic reconstruction process. In: Javidi B, Psaltis D, editors. Optical information systems II, vol. 5557 of SPIE proceedings, SPIE, 2004. p. 1-14.
2. Grilli S., Ferraro P., De Nicola S., Finizio A., Pierattini G., and Meucci R. Whole optical wavefields reconstruction by digital holography. Opt Express 9 (2001) 294-302
3. Ferraro P., de Nicola S., Finizio A., Coppola G., Grilli S., Magro C., et al. Compensation of the inherent wave front curvature in digital holographic coherent microscopy for quantitative phase-contrast imaging. Appl Opt 42 (2003) 1938-1946
4. Ferraro P., De Nicola S., Finizio A., Pierattini G., and Coppola G. Recovering image resolution in reconstructing digital off-axis holograms by Fresnel-transform method. Appl Phys Lett 85 (2004) 2709-2711
5. De Nicola S., Ferraro P., Finizio A., Grilli S., Coppola G., Iodice M., et al. Surface topography of microstructures in lithium niobate by digital holographic microscopy. Meas Sci Technol 15 (2004) 961-968
6. Grilli S., Ferraro P., Paturzo M., De Natale P., de Angelis M., De Nicola S., Finizio A., and Pierattini G. Characterization and engineering of ferroelectric microstructures by interferometric methods. Proc SPIE 5858 (2005) 218-228
7. Ferraro P, De Nicola S, Coppola G. Digital holography: recent advancements and prospective improvements for applications in microscopy. In: Javidi editor. Optical imaging sensors and systems for homeland security applications, vol. 2 of Advanced sciences and technologies for security applications, series B. Berlin: Springer; 2005. p. 47-84 [chapter 3].
8. Ghiglia DC, Pritt MD. Two-dimensional phase unwrapping: theory, Algorithms and Software, 1998.
9. Ghiglia D.C., and Romero L.A. Robust two-dimentional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods. J Opt Soc Am A 11 (1994) 107-117
10. Fornaro G., Franceschetti G., and Lanari R. Interferometric SAR phase unwrapping using Green's formulation. IEEE trans Geosci Remote Sensing 34 3 (1996)
11. Baldi. Two-dimensional phase unwrapping by quad-tree decomposition. Appl Opt 40 (2001) 1187-1194
12. Stephenson P., Burton D.R., and Lalor M.J. Data validation techniques in a tiled phase unwrapping algorithm. Opt Eng 33 (1994) 3703-3708
13. Hung K.M., and Yamada T. Phase unwrapping by regions using least-squares approach. Opt Eng 37 (1998) 2965-2970
14. Gireloff JJ. Phase unwrapping by region. In: Fischer RE, Smith WJ, editors, Current developments in optical engineering II. Proc SPIE 1987:818(2-9).
15. Charette P.G., and Hunter I.W. Robust phase unwrapping method for phase images with high noise content. Appl Opt 35 (1996) 3506-3513