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Fourier Transform Based Methods for Unwrapping of Sentinel-1 Interferograms

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Part of the Lecture Notes in Geoinformation and Cartography book series (LNGC)

Abstract

Synthetic aperture radar (SAR) applications related to phase estimation, just as studies on subsidence, generation of digital elevation models or time series analyses of Earth surface changes, require an adequate phase unwrapping (PU) process. This process should imply at least a qualitative fringe analysis of certain small regions of the complete interferogram. Although, this qualitative analysis is usually omitted or cannot be followed due to its complexity, sometimes the form of the observed fringes allows it. In general, the form of the estimated phase depends on the properties or capabilities of the PU algorithm used, as well as its input parameters, and these points may be unknown for the user. For instance, in applications with Sentinel-1 images, we have an algorithm called SNAPHU, which is quite robust and effective. Nevertheless, sometimes, it produces inconsistent results according to the theoretical form of the fringes and the expected form of the phase. Consequently, the proposal to solve these failed results could involve implementing different PU routines, that can be more familiar or relatively easy-to-program, as the fast Fourier transform (FFT) based method. In this manuscript, we describe a simple way to do this analysis, considering a small subset of a SAR deformation interferogram, and three particular PU algorithms; SNAPHU, the FFT based method, and a proposal or extension of this last one, but based on the use of continuous Fourier transforms.

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References

  • Bertero M, Boccacci P (1998) Introduction to inverse problems in imaging. IOP, London

    CrossRef  Google Scholar 

  • Biggs J, Wright TJ (2020) How satellite InSAR has grown from opportunistic science to routine monitoring over the last decade. Nat Commun. https://doi.org/10.1038/s41467-020-17587-6

    CrossRef  Google Scholar 

  • Braun A, Veci L (2020) Sentinel-1 Toolbox: TOPS Interferometry Tutorial. ESA: SkyWatch Space Applications Inc. http://step.esa.int/main/doc/tutorials

  • Chen CW, Zebker HA (2000) Network approaches to two-dimensional phase unwrapping: intractability and two new algorithms. JOSA A 17:401–414

    CrossRef  Google Scholar 

  • Constantini M (1998) A novel phase unwrapping method based on network. IEEE TGRS 36:813–821

    Google Scholar 

  • Cubuk-Sabuncu Y, Jónsdóttir K, Caudron C, Lecocq T, Parks MM, Geirsson H, Mordret A (2021) Temporal seismic velocity changes during the 2020 rapid inflation at Mt. Thorbjorn-Svartsengi, Iceland, using seismic ambient noise. GRL. https://doi.org/10.1029/2020GL092265

  • Flynn TJ (1997) Two-dimensional phase unwrapping with minimum weighted discontinuity. JOSA A 14:2692–2701

    CrossRef  Google Scholar 

  • Ghiglia DC, Pritt MD (1998) Two-dimensional phase unwrapping: theory, algorithms, and software. Wiley, New York

    MATH  Google Scholar 

  • Goldstein RM, Werner CL (1998) Radar interferogram filtering for geophysical applications. GRL 25:4035–4038

    CrossRef  Google Scholar 

  • Goldstein RM, Zebker HA, Werner CL (1988) Satellite radar interferometry: two-dimensional phase unwrapping. Radio Sci 23:713–720

    CrossRef  Google Scholar 

  • Hanssen RF (2001) Radar interferometry: data interpretation and error analysis. KAP, NY

    CrossRef  Google Scholar 

  • Lyuboshenko I, Maître H (1999) Phase unwrapping for interferometric synthetic aperture radar by use of Helmholtz equation eigenfunctions and the first Green’s identity. JOSA A 16:378–395

    CrossRef  Google Scholar 

  • Massonnet D, Feigl K, Rossi M, Frédéric A (1994) Radar interferometric mapping of deformation in the year after the Landers earthquake. Nature 369:227–230

    CrossRef  Google Scholar 

  • Pritt MD (1997) Congruence in least-squares phase unwrapping. IEEE IGARSS Proc. 2:875–877

    Google Scholar 

  • Téllez-Quiñones A, Salazar-Garibay A, Valdiviezo-Navarro JC, Hernandez-Lopez F, Silván-Cárdenas JL (2020) DInSAR method applied to dual-pair interferograms with Sentinel-1 data: a study case on inconsistent unwrapping outputs. IJRS 41:4662–4681

    Google Scholar 

  • Téllez-Quiñones A, Legarda-Sáenz R, Salazar-Garibay A, Valdiviezo-NJC, León-Rodrígez M (2019) Direct phase unwrapping method based on a local third-order polynomial fit. Appl Opt 58:436–445

    Google Scholar 

  • Zebker HA, Goldstein RM (1986) Topographic mapping from interferometric synthetic aperture radar observations. JGR 91:4993–4999

    CrossRef  Google Scholar 

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Correspondence to Alejandro Téllez-Quiñones .

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Téllez-Quiñones, A., Valdiviezo-Navarro, J.C., López-Caloca, A.A. (2022). Fourier Transform Based Methods for Unwrapping of Sentinel-1 Interferograms. In: Tapia-McClung, R., Sánchez-Siordia, O., González-Zuccolotto, K., Carlos-Martínez, H. (eds) Advances in Geospatial Data Science. iGISc 2021. Lecture Notes in Geoinformation and Cartography. Springer, Cham. https://doi.org/10.1007/978-3-030-98096-2_6

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