##### KMap

#### VOSviewer

##### Courses

- CIICalculus II
- VCVector Calculus
- NANumerical Analysis
- LALinear Algebra
- AAAAdvanced Applied Analysis
- MPNAMathematical Principles of Numerical Analysis
- AAMIAlgorithms of Applied Mathematics I

##### Grants

- 4D Transcranial Acoustoelectric Imaging for High Resolution Functional Mapping of Neuronal Currents
Co-Investigator (COI)

2020

###### $2.1M

Active - Inverse Problems Arising in Novel Modalities of Biomedical Imaging
Principal Investigator (PI)

2017

###### $300.4K

- High Resolution Electrical Brain Mapping by Real-Time and Portable 4D Acoustoelectric Imaging
Co-Investigator (COI)

2015

###### $1.2M

- Collaborative Research: Wavelet Frames for Variational Models in Imaging: Bridging Discrete and Continuum
Co-Investigator (COI)

2014

###### $170.8K

- Collaborative Research: Mathematics of Emerging Imaging Methods in Medicine and Homeland Security
Principal Investigator (PI)

2012

###### $183.0K

- Collaborative Research: Mathematical Methods for Emerging Techniques of Biomedical Imaging
Principal Investigator (PI)

2009

###### $109.4K

##### News

- UA Researchers Develop Brain-Mapping Technology
2015

##### Publications (51)

Recent

- Weighted Radon transforms of vector fields, with applications to magnetoacoustoelectric tomography
2023

- On the exactness of the universal backprojection formula for the spherical means Radon transform
2022

- Current Source Density Imaging Using Regularized Inversion of Acoustoelectric Signals
2022

- Parametrix for the inverse source problem of thermoacoustic tomography with reduced data
2021

- Microlocally accurate solution of the inverse source problem of thermoacoustic tomography
2020

- Compton camera imaging and the cone transform: a brief overview
2018

- Theoretically exact photoacoustic reconstruction from spatially and temporally reduced data
2018

- Rotational magneto-acousto-electric tomography (MAET): theory and experimental validation
2017

- Compton Camera Imaging And The Cone Transform. A Brief Overview
2017

- A dissipative time reversal technique for photoacoustic tomography in a cavity
2016

- A NEW TIME REVERSAL TECHNIQUE FOR PHOTO-ACOUSTIC TOMOGRAPHY IN A CAVITY
2015

- Hybrid Methods of Imaging
2015

- Gradual time reversal in thermo- and photo- acoustic tomography within a resonant cavity
2015

- Inversion of the spherical means transform in corner-like domains by reduction to the classical Radon transform
2015

- Inversion of the spherical means transform by reduction to the classical Radon transform
2014

- Exterior/interior problem for the circular means transform with applications to intravascular imaging
2013

- Photoacoustic tomography in a reflecting cavity
2013

- Photoacoustic tomography in a rectangular reflecting cavity
2013

- On Reconstruction Formulas and Algorithms for the Thermoacoustic Tomography
2012

- A mathematical model and inversion procedure for magneto-acousto-electric tomography
2012

- Mathematics of photoacoustic and thermoacoustic tomography
2011

- Handbook of Mathematical Methods in Imaging
2011

- Fast reconstruction algorithms for the thermoacoustic tomography in certain domains with cylindrical or spherical symmetries
2011

- 2D and 3D reconstructions in acousto-electric tomography
2010

- Reconstruction of a function from its spherical (circular) means with the centers lying on the surface of certain polygons and polyhedra
2010

- Reconstructions in 2D acousto-electric tomography
2010

- Synthetic focusing in ultrasound modulated tomography
2009

- A survey in mathematics for industry: Mathematics of thermoacoustic tomography
2008

- ASYMPTOTICALLY OPTIMAL HIGH-ORDER ACCURATE ALGORITHMS FOR THE SOLUTION OF CERTAIN ELLIPTIC PDEs
2008

- Thermoacoustic tomography with detectors on an open curve: an efficient reconstruction algorithm
2008

- Mathematics of thermoacoustic tomography
2008

- MR2302980 (2007m: 44002) 44A12 (65R10)
2007

- A series solution and a fast algorithm for the inversion of the spherical mean Radon transform
2007

- Mathematics of thermoacoustic and photoacoustic tomography
2007

- Explicit inversion formulae for the spherical mean Radon transform
2007

- Inversion of the 3D exponential parallel-beam transform and the Radon transform with angle-dependent attenuation
2004

- On single-photon emission computed tomography imaging based on an exact formula for the nonuniform attenuation correction
2002

- Differential operators on graphs and photonic crystals
2002

- Analytic reconstruction algorithms in emission tomography with variable attenuation
2001

- Surface scattering in three dimensions: an accelerated high ndash;order solver
2001

- A Fast
2001

- A new SPECT reconstruction algorithm based on the Novikov explicit inversion formula
2001

- A fast, high-order algorithm for the solution of surface scattering problems. II
2001

- Goussis, Dimitrios A., 44
2001

- Surface scattering in three dimensions: An accelerated high-order solver
2001

- A fast, high-order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications
2000

- Asymptotic methods for thin high-contrast two-dimensional PBG materials
1999

- Spectral properties of high contrast band-gap materials and operators on graphs
1999

- Fast, high-order solution of surface scattering problems
1999

- Numerical and analytic study of problems of photonic crystals theory
1998

- Generalized and attenuated radon transforms: restorative approach to the numerical inversion
1992

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