A comparative study of structural similarity and regularization for joint inverse problems governed by PDEs

DOI10.1088/1361-6420/aaf129zbMath1412.65197arXiv1808.05441OpenAlexW3100141817WikidataQ114096879 ScholiaQ114096879MaRDI QIDQ4646430

Omar Ghattas, Georg Stadler, Benjamin Crestel

Publication date: 14 January 2019

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

Full work available at URL: https://arxiv.org/abs/1808.05441

zbMATH Keywords

nuclear normvectorial total variationjoint inversioncross-gradientmulti-physics inverse problemstructural similarity prior

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items

Learning physics-based models from data: perspectives from inverse problems and model reduction, Hierarchical Matrix Approximations of Hessians Arising in Inverse Problems Governed by PDEs, Preface to special issue on joint reconstruction and multi-modality/multi-spectral imaging, Review of Image Similarity Measures for Joint Image Reconstruction from Multiple Measurements, Statistical and deterministic inverse methods in the geosciences: introduction, review, and application to the nonlinear diffusion equation, Multi-physics adjoint modeling of Earth structure: combining gravimetric, seismic, and geodynamic inversions

Uses Software

• DOLFIN
• FEniCS
• SyFi
• hIPPYlib

Cites Work

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