Variational methods for tomographic reconstruction with few views

DOI10.1007/s00032-018-0285-1zbMath1408.49020OpenAlexW2736274881MaRDI QIDQ1756606

Isabelle Abraham, Emmanuel Trélat, Guillaume Carlier, Romain Abraham, Erwan Le Pennec, Bergounioux, Maïtine

Publication date: 21 December 2018

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://basepub.dauphine.fr/handle/123456789/20400

zbMATH Keywords

inverse problemvariational methodtomographic reconstructionoptimal transportneedletsfractional order Hilbert spacesRadon operator

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in optimal control (49N45) Inverse problems for integral equations (45Q05)

Related Items (3)

A variational method for Abel inversion tomography with mixed Poisson-Laplace-Gaussian noise ⋮ A combined first and fractional order regularization method for mixed Poisson-White spike noisy image restoration ⋮ An efficient implementable inexact entropic proximal point algorithm for a class of linear programming problems

Uses Software

• ForWaRD

Cites Work

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