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MCF-homomorphisms of cost functions for minimum cost flow InSAR phase unwrapping

Hubig, Michael and Adam, Nico and Suchandt, Steffen (2001) MCF-homomorphisms of cost functions for minimum cost flow InSAR phase unwrapping. In: Proceedings of 2001 IEEE International Geoscience and Remote Sensing, 5, pp. 2043-2045. IEEE Xplore. IEEE 2001 International Geoscience and Remote Sensing Symposium, 09-13 Jul 2001, Sydney, Australia. doi: 10.1109/IGARSS.2001.977897. ISBN 0-7803-7031-7.

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Official URL: http://ieeexplore.ieee.org/document/977897/


Branchcut methods represent an important class of phase unwrapping (PU) approaches in SAR interferometry (InSAR). Their main idea is to circumvent the problem of path dependency for the integration of the wrapped gradient of the wrapped interferometric phase by placing suitable barriers (branchcuts) to the possible integration paths in the image. In 1996 M. Costantini proposed to transform the problem of InSAR PU to a minimum cost flow (MCF) problem. The critical point of this new approach is to generate cost functions which represent the a priori knowledge necessary for phase unwrapping. Since many algorithms for generating cost functions from a priori knowledge have been proposed in the last years, it has become important to decide whether two given methods of computing cost functions lead to the same branchcut system on every interferogram. A formal tool to treat this problem mathematically are universal MCF-homomorphisms. Any mapping a from the space of cost functions into itself is called an universal MCF-homomorphism if every cost function c and its image /spl alpha/(c) have the same MCF solution and if /spl alpha/ can be defined separately for each arc. This paper presents the proof of the following mathematical theorem: The only existing universal MCF-homomorphisms are the componentwise multiplications with a fixed positive scalar.

Item URL in elib:https://elib.dlr.de/110223/
Document Type:Conference or Workshop Item (Speech)
Title:MCF-homomorphisms of cost functions for minimum cost flow InSAR phase unwrapping
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Adam, NicoNico.Adam (at) dlr.dehttps://orcid.org/0000-0002-6053-0105
Suchandt, Steffensteffen.suchandt (at) dlr.deUNSPECIFIED
Date:July 2001
Journal or Publication Title:Proceedings of 2001 IEEE International Geoscience and Remote Sensing
Refereed publication:No
Open Access:No
Gold Open Access:No
In ISI Web of Science:No
DOI :10.1109/IGARSS.2001.977897
Page Range:pp. 2043-2045
Publisher:IEEE Xplore
Keywords:phase unwrapping (PU), SAR interferometry (InSAR), minimum cost flow (MCF) problem
Event Title:IEEE 2001 International Geoscience and Remote Sensing Symposium
Event Location:Sydney, Australia
Event Type:international Conference
Event Dates:09-13 Jul 2001
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Earth Observation
DLR - Research area:Raumfahrt
DLR - Program:R EO - Earth Observation
DLR - Research theme (Project):R - Vorhaben hochauflösende Fernerkundungsverfahren (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Remote Sensing Technology Institute > SAR Signal Processing
Deposited By: Adam, Nico Alexander
Deposited On:17 Jan 2017 13:49
Last Modified:23 Jan 2017 09:10

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