A mathematical approach towards THz tomography for non-destructive imaging

DOI10.3934/ipi.2021041zbMath1481.78011arXiv2010.14938OpenAlexW3165212494MaRDI QIDQ2072160

Peter Fosodeder, Ronny Ramlau, Alexander Ploier, Sandrine van Frank, Simon Hubmer

Publication date: 26 January 2022

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

Full work available at URL: https://arxiv.org/abs/2010.14938

zbMATH Keywords

Radon transformtomographic imagingnon-destructive testinginverse and ill-posed problemsterahertz tomography

Mathematics Subject Classification ID

Radon transform (44A12) Composite media; random media in optics and electromagnetic theory (78A48)

Uses Software

• AIR tools

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
• Iterative regularization methods for nonlinear ill-posed problems
• A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
• AIR tools II: algebraic iterative reconstruction methods, improved implementation
• The Mathematics of Computerized Tomography
• Simultaneous activity and attenuation emission tomography as a nonlinear ill‐posed problem
• Tomographic Terahertz Imaging Using Sequential Subspace Optimization
• A modified algebraic reconstruction technique taking refraction into account with an application in terahertz tomography
• An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
• A new approach towards simultaneous activity and attenuation reconstruction in emission tomography
• A convergence analysis of a method of steepest descent and a two–step algorothm for nonlinear ill–posed problems
• Convergence analysis of a two-point gradient method for nonlinear ill-posed problems

This page was built for publication: A mathematical approach towards THz tomography for non-destructive imaging