Selected papers on Tomography
P. Kuchment and L. Kunyansky
Synthetic focusing in ultrasound modulated tomography
to appear in Inverse Problems and Imaging.
Preprint (2009) Arxiv:Math.AP 0901.2552
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
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