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Gaussian Markov Random Field Based Phase Locked Loop for Phase Unwrapping of Two Dimensional Interferograms

Kahyaoglu, Nazli Deniz and Datcu, Mihai (2013) Gaussian Markov Random Field Based Phase Locked Loop for Phase Unwrapping of Two Dimensional Interferograms. In: Proceeding of 5th TerraSAR-X / 4th TanDEM-X Science Team Meeting. 5th TerraSAR-X Science Team Meeting, 10.-14. June 2013, Oberpfaffenhofen, Germany.

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Official URL: https://tandemx-science.dlr.de/


Phase unwrapping (PU) is the reconstruction, or estimation, of the absolute phase signal from its observed noisy wrapped samples. Based on the fact that phase locked loop (PLL) output can be considered as a MAP estimate, it has already been proposed to be used for phase unwrapping of two dimensional (2D) interferometric phase. On the other hand, the Gaussian Markov Random Field (GMRF) is well known to be an appropriate statistical model for parameter estimation of images. In this work, GMRF-based second order PLL is proposed for 2D phase unwrapping. As opposed to common PU methods dealing with the wrapped phase obtained by the arg(.) operator, PLL operates on the complex interferogram directly. Considering the neighboring pixels as the past based on the GMRF model, error measures, i.e., the phase detector outputs, from neighboring samples are averaged to estimate the phase for the current pixel. The performance of the proposed approach is evaluated for both simulated fractal Brownian surface, which is considered to be a proper model for 2D absolute phase, and real TerraSAR-X / TanDEM-X interferometric pairs. For both simulated and real data, the phase singularity points (residue points) are detected and the residue maps are extracted. Residues due to phase noise are successfully reduced / removed by means of phase noise filtering, and the results show that the proposed method performs quite well under proper sampling condition, i.e., no aliasing. In case of aliasing, the residues arising from undersampling can be masked and the proposed GMRF-based PLL approach can still be applied.

Item URL in elib:https://elib.dlr.de/88989/
Document Type:Conference or Workshop Item (Poster)
Title:Gaussian Markov Random Field Based Phase Locked Loop for Phase Unwrapping of Two Dimensional Interferograms
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Kahyaoglu, Nazli DenizIMF, DLRUNSPECIFIED
Datcu, Mihaimihai.datcu (at) dlr.deUNSPECIFIED
Date:June 2013
Journal or Publication Title:Proceeding of 5th TerraSAR-X / 4th TanDEM-X Science Team Meeting
Refereed publication:No
Open Access:No
Gold Open Access:No
In ISI Web of Science:No
Keywords:Gaussian Markov Random Field
Event Title:5th TerraSAR-X Science Team Meeting
Event Location:Oberpfaffenhofen, Germany
Event Type:Workshop
Event Dates:10.-14. June 2013
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Earth Observation
DLR - Research area:Raumfahrt
DLR - Program:R EO - Erdbeobachtung
DLR - Research theme (Project):R - Vorhaben hochauflösende Fernerkundungsverfahren
Location: Oberpfaffenhofen
Institutes and Institutions:Remote Sensing Technology Institute > Photogrammetry and Image Analysis
Deposited On:07 May 2014 11:25
Last Modified:21 May 2014 13:52

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