An innovative minimum cost flow phase unwrapping algorithm based on compressive sensing for multi-temporal small baseline DInSAR interferograms sequences.

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Title: An innovative minimum cost flow phase unwrapping algorithm based on compressive sensing for multi-temporal small baseline DInSAR interferograms sequences.
Authors: Yasir, Muhammad1 (AUTHOR), Casu, Francesco2 (AUTHOR), Luca, Claudio De1 (AUTHOR), Onorato, Giovanni1 (AUTHOR), Lanari, Riccardo1 (AUTHOR), Manunta, Michele1 (AUTHOR)
Source: ISPRS Journal of Photogrammetry & Remote Sensing. Jun2026, Vol. 236, p120-140. 21p.
Subjects: Phase unwrapping (Digital image processing), Compressed sensing, Synthetic aperture radar, Volcanic activity prediction, Radar interferometry
Geographic Terms: Italy
Abstract: We present an innovative Phase Unwrapping (PhU) method for multi-temporal, small baseline differential interferogram sequences that benefits from the Minimum Cost Flow (MCF) algorithm and the Compressive Sensing (CS) theory. The developed algorithm advances the Extended MCF (EMCF) method by (1) introducing a new approach for the temporal PhU operation and (2) enhancing the retrieval capability of the existing spatial PhU procedure. In particular, the temporal PhU exploits the sparsity of the phase gradient signal and efficiently searches for a minimum L 1 -norm solution in the temporal/perpendicular baseline plane with no need, unlike the EMCF method, of any Delaunay triangulation in this domain. Furthermore, the spatial PhU capitalizes on the obtained temporal solution and performs a multi-trial PhU operation of each interferogram by exploiting different cost functions; the final unwrapped interferograms are then obtained through a pixel-by-pixel weighted average of the unwrapped solutions retrieved in each trial. To evaluate the performance of the proposed algorithm, which is tailored to multi-look interferograms, we carry out a comparative analysis with the results of the original EMCF technique by using simulated and real SAR data. In particular, we process a SAOCOM-1 (L-band) SAR dataset acquired over the Stromboli Island, characterized by intense and fast deformation signals, to assess the algorithm effectiveness when dealing with challenging DInSAR interferogram sequences obtained from a limited number of SAR acquisitions. Subsequently, the performance of the proposed PhU approach is further investigated by processing two large Sentinel-1 (C-band) datasets acquired over the Stromboli Island and the Etna Volcano, both sites located in southern Italy. The obtained results clearly show the robustness and effectiveness of the developed technique in retrieving the detected displacement signals, even when characterized by fast and highly nonlinear behaviors. [ABSTRACT FROM AUTHOR]
Copyright of ISPRS Journal of Photogrammetry & Remote Sensing is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 193310667
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  Data: An innovative minimum cost flow phase unwrapping algorithm based on compressive sensing for multi-temporal small baseline DInSAR interferograms sequences.
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  Data: <searchLink fieldCode="JN" term="%22ISPRS+Journal+of+Photogrammetry+%26+Remote+Sensing%22">ISPRS Journal of Photogrammetry & Remote Sensing</searchLink>. Jun2026, Vol. 236, p120-140. 21p.
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  Data: We present an innovative Phase Unwrapping (PhU) method for multi-temporal, small baseline differential interferogram sequences that benefits from the Minimum Cost Flow (MCF) algorithm and the Compressive Sensing (CS) theory. The developed algorithm advances the Extended MCF (EMCF) method by (1) introducing a new approach for the temporal PhU operation and (2) enhancing the retrieval capability of the existing spatial PhU procedure. In particular, the temporal PhU exploits the sparsity of the phase gradient signal and efficiently searches for a minimum L 1 -norm solution in the temporal/perpendicular baseline plane with no need, unlike the EMCF method, of any Delaunay triangulation in this domain. Furthermore, the spatial PhU capitalizes on the obtained temporal solution and performs a multi-trial PhU operation of each interferogram by exploiting different cost functions; the final unwrapped interferograms are then obtained through a pixel-by-pixel weighted average of the unwrapped solutions retrieved in each trial. To evaluate the performance of the proposed algorithm, which is tailored to multi-look interferograms, we carry out a comparative analysis with the results of the original EMCF technique by using simulated and real SAR data. In particular, we process a SAOCOM-1 (L-band) SAR dataset acquired over the Stromboli Island, characterized by intense and fast deformation signals, to assess the algorithm effectiveness when dealing with challenging DInSAR interferogram sequences obtained from a limited number of SAR acquisitions. Subsequently, the performance of the proposed PhU approach is further investigated by processing two large Sentinel-1 (C-band) datasets acquired over the Stromboli Island and the Etna Volcano, both sites located in southern Italy. The obtained results clearly show the robustness and effectiveness of the developed technique in retrieving the detected displacement signals, even when characterized by fast and highly nonlinear behaviors. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of ISPRS Journal of Photogrammetry & Remote Sensing is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.isprsjprs.2026.03.040
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 21
        StartPage: 120
    Subjects:
      – SubjectFull: Phase unwrapping (Digital image processing)
        Type: general
      – SubjectFull: Compressed sensing
        Type: general
      – SubjectFull: Synthetic aperture radar
        Type: general
      – SubjectFull: Volcanic activity prediction
        Type: general
      – SubjectFull: Radar interferometry
        Type: general
      – SubjectFull: Italy
        Type: general
    Titles:
      – TitleFull: An innovative minimum cost flow phase unwrapping algorithm based on compressive sensing for multi-temporal small baseline DInSAR interferograms sequences.
        Type: main
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          Name:
            NameFull: Yasir, Muhammad
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            NameFull: Casu, Francesco
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            NameFull: Luca, Claudio De
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            NameFull: Onorato, Giovanni
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            NameFull: Lanari, Riccardo
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            NameFull: Manunta, Michele
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          Dates:
            – D: 01
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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            – Type: issn-print
              Value: 09242716
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              Value: 236
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            – TitleFull: ISPRS Journal of Photogrammetry & Remote Sensing
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