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Select papers on Tomography

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L. Kunyansky, E. McDugald and B. Shearer

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

* Inverse Problems* **39** 2023, 065014

IOP

Preprint:pdf

####
M. Agranovsky and L. Kunyansky

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

* Inverse Problems* **39** 2023, 035002

IOP

Preprint: Arxiv

####
J. Kang, C. Huang, C. Perkins, A. Alvarez, L. Kunyansky, R. S. Witte and M. O’Donnell

Current Source Density Imaging Using Regularized Inversion of Acoustoelectric Signals

* IEEE. Trens. Med. Imag.* **42** (3) 2023, pp. 739-49

IEEE Xplore

####
M. Eller and L. Kunyansky

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

* Inverse Problems* **37**(4), 2021, 045003

IOP

Preprint: pdf

####
M. Eller, P. Hoskins, and L. Kunyansky

Microlocally accurate solution of the inverse source problem of thermoacoustic tomography

* Inverse Problems* **36**(8), 2020, 094004

IOP

Preprint: pdf or
ArXiv:2004.07364[math:AP]

####
N. Do and L. Kunyansky

Theoretically exact photoacoustic reconstruction from
spatially and temporally reduced data

* Inverse Problems* **34**(9), 2018, 094004

IOP

Preprint: pdf or
ArXiv: 1806.08412v1 [math:AP]

####
F. Terzioglu, P. Kuchment, and L. Kunyansky

Compton camera imaging and the cone transform: a brief overview

*Inverse Problems* **34**(5), 2018, 054002

IOP

####
L Kunyansky, C P Ingram and R S Witte

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

*Physics in Medicine and Biology* **62**(8), 2017, pp. 3025–3050

IOP

pdf for those without access to IOP

####
L. V. Nguyen and L. Kunyansky

A dissipative time reversal technique for photo-acoustic
tomography in à cavity

*SIAM Journal on Imaging Sciences* **9**(2), 2016, pp. 748–769

SIAM

Preprint:
pdf or
ArXiv: 1507.01324[math:AP]

####
L. Kunyansky

Inversion of the spherical means transform in corner-like domains

by reduction to the classical Radon transform

*Inverse Problems* **31**, 2015, 095001.

IOP.

Preprint: pdf or
ArXiv: 1502.02640v3 [math:AP]

####
B. Holman and L. Kunyansky

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

*Inverse Problems* **31**, 2015, 035008.
IOP or
proofs

####
G. Ambartsoumian and L. Kunyansky

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

*Inverse Problems and Imaging* **8**, No. 2, 2014, pp. 339-359.
pdf

####
L. Kunyansky, B. Holman and B. T. Cox

Photoacoustic tomography in a rectangular reflecting cavity

*Inverse Problems* **29**, 2013, 125010.
open access

####
L. Kunyansky

A mathematical model and inversion procedure

for Magneto-Acousto-Electric Tomography (MAET)

*Inverse Problems* **28**, 2012, 035002.
pdf

####
L. Kunyansky

Fast reconstruction algorithms for the thermoacoustic tomography

in certain domains with cylindrical or spherical symmetries

*Inverse Problems and Imaging*, **6**, No 1, 2012, pp. 111-131.

pdf

####
P. Kuchment and L. Kunyansky

2D and 3D reconstructions in acousto-electric tomography

*Inverse Problems* **27**, 2011, 055013.

pdf

####
L. Kunyansky

Reconstruction of a function from its spherical (circular) means

with the centers lying on the surface of certain polygons and polyhedra

*Inverse Problems * **27**, 2011, 025012.
pdf

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P. Kuchment and L. Kunyansky

Mathematics of Photoacoustic and Thermoacoustic Tomography

Chapter 19, Handbook of Mathematical Methods in Imaging, Springer, 2011, pp. 819-865.

pdf

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P. Kuchment and L. Kunyansky

Synthetic focusing in ultrasound modulated tomography

*Inverse Problems and Imaging*, **4** (4) 2010, pp. 655-673.

pdf

####
M. Agranovsky, P. Kuchment, L. Kunyansky

On reconstruction formulas and algorithms for the thermoacoustic tomography:

Chapter 8 in *Photoacoustic imaging and spectroscopy* L.H.Wang (Editor), CRC Press 2009, pp 89-101.
Proofs: pdf

####
L. Kunyansky

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

(*Inverse Problems* **24** No 5 (October), (2008))
pdf

####
P. Kuchment and L. Kunyansky

A Survey in Mathematics for Industry:
Mathematics of thermoacoustic tomography

(*Euro. Jnl of Applied Mathematics* **19** (2008) pp. 191–224)
pdf

####
L. Kunyansky

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

(*Inverse Problems*, **23** (2007) pp. s11-s200 )
pdf

####
L. Kunyansky

Explicit inversion formulas for the spherical mean Radon transform

(*Inverse Problems *, **23** (2007), pp. 373-383.)
pdf

####
Leonid A. Kunyansky

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

(*Inverse Problems*, **20** (2004) pp. 1455–1478 )
pdf

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J-P. Guillement, F. Jauberteau, L. Kunyansky, R. Novikov, and R.
Trebossen

On SPECT imaging based on an exact formula for the nonuniform
atenuation correction

(*Inverse Problems*, **18** (2002) pp. L11-L19)
pdf

####
Leonid A. Kunyansky

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

(*Inverse Problems,* **17** (2001) pp. 293-306)
pdf

####
Leonid A. Kunyansky

Analytic reconstruction algorithms in emission
tomography with variable attenuation

(*J. of Computational Methods in Science and Engineering* (JCMSE), ** 1 **, Issue 2s-3s (2001), pp. 267-286)
pdf

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L. A. Kunyansky

Generalized and attenuated Radon transforms: restorative
approach to the numerical inversion

(*Inverse Problems* **8** (1992), pp. 809-819)
pdf

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Select papers on Surface Scattering Problems

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Oscar P. Bruno and Leonid A. Kunyansky

A Fast, High-Order Algorithm for the Solution of Surface Scattering
Problems:

Basic Implementation, Tests and Applications

(*J. Comp. Phys,* **169** (2001) pp. 80-110.)
pdf

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Leonid A. Kunyansky and Oscar P. Bruno

A Fast, High-Order Algorithm for the Solution of Surface Scattering
Problems II:

Theoretical Considerations

(Submitted)
pdf

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Oscar P. Bruno and Leonid A. Kunyansky

Surface Scattering in three dimensions: an accelerated high-order solver

(*Proc. of Royal Society of London A,* **457** (2001) pp. 2921-2934)
pdf

####
Leonid A. Kunyansky

Spectrally accurate Fourier methods

in problems of wave propagation

in inhomogeneous media.

**Slide presentation.**

pdf

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Select papers on Photonic Crystals Theory

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P. Kuchment and L. Kunyansky

Differential operators on graphs and photonic crystals

(*Advances in Computational Mathematics,*
**16** (2002), pp. 263-290.)
pdf

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P. Kuchment and L. Kunyansky

Spectral Properites of High Contrast Band-Gap Materials and Operators on Graphs

(*Experimental Mathematics,*
**8**:1 (1999), pp. 1-28.)
pdf

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W. Axmann, P. Kuchment and L. Kunyansky

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

(*Journal of Lightwave Technology,* **17**, no 11 (1999) pp. 1996-2007)
pdf

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Select papers of my students

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B. Holman

A Second-order Finite Difference Scheme For The
Wave Equation on a Reduced Polar Grid, preprint (in preparation, do not read)
pdf