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Approximate inversion of generalized Radon transforms

Ganster, Kevin 1; Rieder, Andreas ORCID iD icon 1
1 Institut für Angewandte und Numerische Mathematik (IANM), Karlsruher Institut für Technologie (KIT)

Abstract:

Generalized Radon transforms (GRT) serve, for instance, as linear models for seismic imaging in the acoustic regime. They occur when the corresponding inverse problem is linearized about a known background compression wave speed (Born approximation). The resulting GRT is completely determined by this background velocity. In this work, we present an implementation of approximate inversion formulas for this class of GRTs proposed and analyzed in [Inverse Problems, 34 (2018), 014002, 114001], where we restrict ourselves to layered background velocities in 2D. In a series of numerical experiments, we intensively test our implementation, reproducing theoretical predictions.
Further, we drive the validity of the linearization to its limits.


Volltext §
DOI: 10.5445/IR/1000149179
Veröffentlicht am 28.07.2022
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht/Preprint
Publikationsmonat/-jahr 07.2022
Sprache Englisch
Identifikator ISSN: 2365-662X
KITopen-ID: 1000149179
Verlag Karlsruher Institut für Technologie (KIT)
Umfang 22 S.
Serie CRC 1173 Preprint ; 2022/33
Projektinformation SFB 1173/2 (DFG, DFG KOORD, SFB 1173/2 2019)
Externe Relationen Siehe auch
Schlagwörter generalized Radon transform, approximate inverse
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