Optimal transport in full-waveform inversion: analysis and practice of the multidimensional Kantorovich–Rubinstein norm

DOI10.1088/1361-6420/abfb4czbMath1466.49041arXiv2101.00904OpenAlexW3170751307MaRDI QIDQ4995172

Gilles Lambaré, Raphaël Poncet, Jérémie Messud

Publication date: 23 June 2021

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.00904

zbMATH Keywords

seismic imagingoptimal transportfull-waveform inversionmultidimensional Kantorovich-Rubinstein norm

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Optimal transportation (49Q22)

Related Items (2)

On the iterative regularization of non-linear illposed problems in \(L^{\infty}\) ⋮ A review of the use of optimal transport distances for high resolution seismic imaging based on the full waveform

Uses Software

• CVXOPT
• UNLocBoX

Cites Work

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• Application of the Wasserstein metric to seismic signals
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• On mass transportation
• An optimal transport approach for seismic tomography: application to 3D full waveform inversion
• Proximal Splitting Methods in Signal Processing
• Kantorovich-Rubinstein Norm and Its Application in the Theory of Lipschitz Spaces
• Inverse Problem Theory and Methods for Model Parameter Estimation
• Imaging with Kantorovich--Rubinstein Discrepancy
• A graph space optimal transport distance as a generalization of L ^p distances: application to a seismic imaging inverse problem

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