Publications in VIVO

Co-author Network

Co-investigator Network

Linh Viet Nguyen Associate Professor

Positions

Participating Faculty, Institute for Modeling Collaboration and Innovation (IMCI)
Associate Professor, Mathematics and Statistical Science , College of Science
Member, Institute for Bioinformatics and Evolutionary Studies (IBEST) , Institute for Interdisciplinary Data Sciences (IIDS)

Publications

selected publications

academic article
- Augmented NETT regularization of inverse problems. Journal of Physics Communications. 5. 2021
- Sampling for the V-line Transform with Vertex on a Circle. Inverse Problems. 37:075004. 2021
- An Inversion Formula for the Horizontal Conical Radon Transform. Analysis and Mathematical Physics. 11:42. 2021
- Nonparametric Maximum Likelihood Estimation Using Neural Networks. Pattern Recognition Letters. 138:580-586. 2020
- Full Field Inversion in Photoacoustic Tomography with Variable Sound Speed. Applied Sciences. 9:1563. 2019
- Microlocal analysis for spherical Radon transform: two nonstandard problems. Inverse Problems. 35:74001. 2019
- A sparsification and reconstruction strategy for compressed sensing photoacoustic tomography. Journal of the Acoustical Society of America. 143:3838-3848. 2018
- Analysis of the Linearized Problem of Quantitative Photoacoustic Tomography. SIAM Journal on Applied Mathematics. 78:457-478. 2018
- Iterative methods for photoacoustic tomography in attenuating acoustic media. Inverse Problems. 33. 2017
- On The Strength Of Streak Artifacts In Filtered Back-projection Reconstructions For Limited Angle Weighted X - Ray Transform. Journal of Fourier Analysis and Applications. 23.0:712.0-728.0. 2017
- Analysis of Iterative Methods in Photoacoustic Tomography with Variable Sound Speed. SIAM Journal on Imaging Sciences. 10.0:751.0-781.0. 2017
- Motion Estimation and Correction in Photoacoustic Tomographic Reconstruction. SIAM Journal on Imaging Sciences. 10.0:216.0-242.0. 2017
- Range Description For A Spherical Mean Transform On Spaces Of Constant Curvature. Journal D Analyse Mathematique. 128:191-214. 2016
- A Dissipative Time Reversal Technique for Photoacoustic Tomography in a Cavity. SIAM Journal on Imaging Sciences. 9:748-769. 2016
- On artifacts in limited data spherical Radon transform: curved observation surface. Inverse Problems. 31. 2016
- Generalized impedance boundary conditions for strongly absorbing obstacle: The full wave equation. Mathematical Models and Methods in Applied Sciences. 25:1927-1960. 2015
- How strong are streak artifacts in limited angle computed tomography?. Inverse Problems. 31. 2015
- On Artifacts in Limited Data Spherical Radon Transform: Flat Observation Surfaces. Siam Journal on Mathematical Analysis. 47:2984-3004. 2015
- Spherical Mean Transform from the PDE Point of View. Inverse Problems and Imaging. 7:243-252. 2013
- On Singularities and Instability of Reconstruction in Thermoacoustic Tomography. Contemporary Mathematics. 559. 2011
- Range Conditions for a Spherical Mean Transform and Global Extendibility of Solutions of the Darboux Equation. Journal d'Analyse Mathematique. 112:351-367. 2010
- A Family of Inversion Formulas in Thermoacoustic Tomography. Inverse Problems and Imaging. 3:649-675. 2009
- Reconstruction and Time Reversal in Thermoacoustic Tomography in Acoustically Homogeneous and Inhomogeneous Media. Inverse Problems and Imaging. 24. 2008
- Regularity and Coexistence Problems for Strongly Coupled Elliptic Systems. Indiana University Mathematics Journal. 56:1749-1791. 2007
- Shigesada-Kawasaki-Teramoto model on higher dimensional domains. Electronic Journal of Differential Equations. 2003

presentations

invited talk
- Inversion Formulas of the Spherical Mean Transform Arising in Thermo-acoustic/Photo-acoustic Tomography, Speaker, Applied Inverse Problem Conference 2013
- Mathematical Problems of Thermo-acoustic Tomography, Speaker, Colloquium, BYU 2013
- Spherical Mean Transform: A PDE Point of View, Speaker, Integral Transform and Spectral Theory in Analysis and Geometry 2013
- Mathematics of Thermo-acoustic Tomography, Speaker, Seminar in PDEs, University of Houston 2012
- On the spherical mean transform arising in thermo-acoustic tomography, Speaker, AMS Western Sectional Meeting 2012
- Spherical mean transform on the spaces of constant curvature, Speaker, Geometric Analysis on Euclidean and Homogeneous Spaces 2012
- Mathematics of Thermoacoustic Tomography, Speaker, Applied Math Seminar, University of Utah 2011
- Some mathematical problems of thermoacoustic tomography, Speaker, AMS Western Sectional Meeting 2011
- Some mathematical problems of thermoacoustic tomography (TAT), Speaker, Applied Inverse Problem Conference 2011
- Range description of spherical mean (Radon) transform, Speaker, Postdoc and Graduate Student Seminar, MSRI 2010
- Some mathematical problems of thermoacoustic tomography, Speaker, Inverse Problems Seminar, University of Washington 2010
- Some problems of thermoacoustic tomography (TAT), Speaker, Inverse Problems: Theory and Applications, MSRI 2010
- A family of inversion formulas in thermoacoustic tomography, Speaker, Conference on Applied Inverse Problems 2009

Research

principal investigator on

Mathematics of Tomography awarded by National Science Foundation 2016 - 2019
Mathematics of Thermoacoustic and Photoacoustic Tomography awarded by NSF Division of Mathematical Sciences (DMS) 2012 - 2015

Contact

full name

Linh Viet Nguyen