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Regularization Parameter Selection via L-Curve and Θ-Curve Approaches towards TomoSAR Imaging

González Caboverde, Dorisney and Martin del Campo Becerra, Gustavo Daniel and Torres Román, Deni Librado and Torres García, Eduardo and Reigber, Andreas (2023) Regularization Parameter Selection via L-Curve and Θ-Curve Approaches towards TomoSAR Imaging. In: 2023 IEEE International Geoscience and Remote Sensing Symposium, IGARSS 2023. IEEE International Geoscience and Remote Sensing Symposium (IGARSS), 2023-07-16 - 2023-07-21, Pasadena, USA. doi: 10.1109/igarss52108.2023.10281807. ISBN 979-835032010-7. ISSN 2153-6996.

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Abstract

Nonlinear inverse problems like Synthetic Aperture Radar Tomography are often ill-posed, since their solutions are very sensitive to small perturbations in the input data and are, therefore, difficult to compute numerically. Ill-posed problems are commonly tackled with regularization approaches; however, there is a crucial problem in regularization, related to the selection of regularization parameters. In the search for optimal values of such regularization parameters, this article addresses an extension of the L-curve method, called Θ-curve. Furthermore, aimed at reducing converge time, the k-criterion is added, based on the first and second derivatives of the L-curve.

Item URL in elib:https://elib.dlr.de/195102/
Document Type:Conference or Workshop Item (Speech, Poster)
Title:Regularization Parameter Selection via L-Curve and Θ-Curve Approaches towards TomoSAR Imaging
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
González Caboverde, DorisneyUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Martin del Campo Becerra, Gustavo DanielUNSPECIFIEDhttps://orcid.org/0000-0003-1642-6068UNSPECIFIED
Torres Román, Deni LibradoUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Torres García, EduardoUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Reigber, AndreasUNSPECIFIEDhttps://orcid.org/0000-0002-2118-5046UNSPECIFIED
Date:2023
Journal or Publication Title:2023 IEEE International Geoscience and Remote Sensing Symposium, IGARSS 2023
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:No
DOI:10.1109/igarss52108.2023.10281807
ISSN:2153-6996
ISBN:979-835032010-7
Status:Published
Keywords:Ill-posed problem, Regularization, Lcurve, Θ-curve, Synthetic Aperture Radar, Tomography.
Event Title:IEEE International Geoscience and Remote Sensing Symposium (IGARSS)
Event Location:Pasadena, USA
Event Type:international Conference
Event Start Date:16 July 2023
Event End Date:21 July 2023
Organizer:IEEE GRSS
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 - Aircraft SAR
Location: Oberpfaffenhofen
Institutes and Institutions:Microwaves and Radar Institute > SAR Technology
Deposited By: Martin del Campo Becerra, Gustavo
Deposited On:15 May 2023 08:25
Last Modified:24 Apr 2024 20:55

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