Selected papers on Tomography


N. Do and L. Kunyansky

Theoretically exact photoacoustic reconstruction from spatially and temporally reduced data
Inverse Problems 34(9), 2018, p. 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, p. 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. 30253050
IOP

pdf for those without access to IOP

L. V. Nguyen and L. Kunyansky

A dissipative time reversal technique for photo-acoustic tomography in cavity
SIAM Journal on Imaging Sciences 9(2), 2016, pp. 748769
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 


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 


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. 191224)

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. 14551478 )

pdf 


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 


L. A. Kunyansky

Generalized and attenuated Radon transforms: restorative approach to the numerical inversion
(Inverse Problems 8 (1992), pp. 809-819)

pdf 


Selected papers on Surface Scattering Problems


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  


Leonid A. Kunyansky and Oscar P. Bruno

A Fast, High-Order Algorithm for the Solution of Surface Scattering Problems II:
Theoretical Considerations
(Submitted)

pdf 


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

Selected papers on Photonic Crystals Theory


P. Kuchment and L. Kunyansky

Differential operators on graphs and photonic crystals
(Advances in Computational Mathematics, 16 (2002), pp. 263-290.)

pdf 


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 


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 


Selected papers of my students


B. Holman

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

pdf