A Novel Compressed Sensing Scheme for Photoacoustic Tomography

DOI10.1137/141001408zbMath1327.65283arXiv1501.04305OpenAlexW196543189MaRDI QIDQ3452594

Michael Sandbichler, Peter Burgholzer, Thomas Berer, Markus Haltmeier, Felix Krahmer

Publication date: 13 November 2015

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.04305

zbMATH Keywords

wave equationcomputed tomographynumerical examplescompressed sensinglossless expandersphotoacoustic imaging

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Biomedical imaging and signal processing (92C55) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for inverse problems for integral equations (65R32) Inverse problems for integral equations (45Q05)

Related Items

Convergence rates for the joint solution of inverse problems with compressed sensing data ⋮ Infinite dimensional compressed sensing from anisotropic measurements and applications to inverse problems in PDE ⋮ Singular Value Decomposition of the Wave Forward Operator with Radial Variable Coefficients ⋮ Reconstruction formula for photoacoustic tomography with cylindrical detectors ⋮ Deep learning for photoacoustic tomography from sparse data ⋮ Multiscale Factorization of the Wave Equation with Application to Compressed Sensing Photoacoustic Tomography ⋮ Compressed Sensing Photoacoustic Tomography Reduces to Compressed Sensing for Undersampled Fourier Measurements

Uses Software

• k-Wave

Cites Work

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