32 citations · 114 across the 23 of their papers we have counts for
11 papers · 1 filter
Full Field Inversion of the Attenuated Wave Equation: Theory and Numerical Inversion
Ngoc Do, Markus Haltmeier, Richard Kowar +2
Standard photoacoustic tomography (PAT) provides data that consist of time-dependent signals governed by the wave equation, which are measured on an observation surface. In contras…
The time dimensional reduction method to determine the initial conditions without the knowledge of damping coefficients
Thuy T. Le, Linh V. Nguyen, Loc H. Nguyen +1
This paper aims to reconstruct the initial condition of a hyperbolic equation with an unknown damping coefficient. Our approach involves approximating the hyperbolic equation's sol…
Sampling for the V-line Transform with Vertex in a Circle
Duy N. Nguyen, Linh Nguyen
In this paper, we consider a special V-line transform. It integrates a given function f over the V-lines whose centers are on a circle centered at the origin and the symmetric axes…
Regularization of Inverse Problems by Neural Networks
Markus Haltmeier, Linh V. Nguyen
Inverse problems arise in a variety of imaging applications including computed tomography, non-destructive testing, and remote sensing. The characteristic features of inverse probl…
Sparse aNETT for Solving Inverse Problems with Deep Learning
Daniel Obmann, Linh Nguyen, Johannes Schwab +1
We propose a sparse reconstruction framework (aNETT) for solving inverse problems. Opposed to existing sparse reconstruction techniques that are based on linear sparsifying transfo…
Augmented NETT Regularization of Inverse Problems
Daniel Obmann, Linh Nguyen, Johannes Schwab +1
We propose aNETT (augmented NETwork Tikhonov) regularization as a novel data-driven reconstruction framework for solving inverse problems. An encoder-decoder type network defines a…