Leonid Kunyansky

  • 1200 Citations
  • 18 h-Index
1992 …2018
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Research Output 1992 2018

  • 1200 Citations
  • 18 h-Index
  • 27 Article
  • 3 Conference contribution
  • 2 Chapter
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Article
2018
9 Citations (Scopus)

Compton camera imaging and the cone transform: A brief overview

Terzioglu, F., Kuchment, P. & Kunyansky, L., Apr 3 2018, In : Inverse Problems. 34, 5, 054002.

Research output: Contribution to journalArticle

Optical Tomography
Cones
Cone
Camera
Optical tomography
1 Citation (Scopus)

Theoretically exact photoacoustic reconstruction from spatially and temporally reduced data

Do, N. & Kunyansky, L., Jul 16 2018, In : Inverse Problems. 34, 9, 094004.

Research output: Contribution to journalArticle

Photoacoustic effect
Inverse Source Problem
Single Layer Potential
Thermoacoustics
Inversion Formula
2017
11 Citations (Scopus)

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

Kunyansky, L., Ingram, C. P. & Witte, R. S., Mar 21 2017, In : Physics in Medicine and Biology. 62, 8, p. 3025-3050 26 p.

Research output: Contribution to journalArticle

Electrodes
Tomography
Computer-Assisted Image Processing
Transducers
Acoustics
2016
17 Citations (Scopus)

A dissipative time reversal technique for photoacoustic tomography in a cavity

Nguyen, L. V. & Kunyansky, L., May 26 2016, In : SIAM Journal on Imaging Sciences. 9, 2, p. 748-769 22 p.

Research output: Contribution to journalArticle

Photoacoustic Tomography
Photoacoustic effect
Time Reversal
Tomography
Cavity
2015
11 Citations (Scopus)

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

Holman, B. & Kunyansky, L., Mar 1 2015, In : Inverse Problems. 31, 3, 035008.

Research output: Contribution to journalArticle

Photoacoustic Tomography
Cavity resonators
Time Reversal
Tomography
Cavity
6 Citations (Scopus)
Spherical Means
Radon Transform
Radon
Inversion
Surface measurement
2014
2 Citations (Scopus)

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

Ambartsoumian, G. & Kunyansky, L., 2014, In : Inverse Problems and Imaging. 8, 2, p. 339-359 21 p.

Research output: Contribution to journalArticle

Interior
Imaging
Transform
Imaging techniques
Ultrasound
2013
16 Citations (Scopus)

Photoacoustic tomography in a rectangular reflecting cavity

Kunyansky, L., Holman, B. & Cox, B. T., Dec 2013, In : Inverse Problems. 29, 12, 125010.

Research output: Contribution to journalArticle

Photoacoustic Tomography
Photoacoustic effect
Reconstruction Algorithm
Acoustic Waves
Tomography
2012
30 Citations (Scopus)

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

Kunyansky, L., 2012, In : Inverse Problems. 28, 3, 035002.

Research output: Contribution to journalArticle

Tomography
Inversion
Mathematical Model
Mathematical models
High Resolution
25 Citations (Scopus)
Thermoacoustics
Spherical Symmetry
Reconstruction Algorithm
Tomography
Fast Algorithm
2011
50 Citations (Scopus)

2D and 3D reconstructions in acousto-electric tomography

Kuchment, P. & Kunyansky, L., May 2011, In : Inverse Problems. 27, 5, 055013.

Research output: Contribution to journalArticle

3D Reconstruction
Tomography
Conductivity
Electric variables measurement
Image quality
32 Citations (Scopus)
Wave equations
Prisms
Polyhedron
Polygon
Right prism
2010
28 Citations (Scopus)

Synthetic focusing in ultrasound modulated tomography

Kuchment, P. & Kunyansky, L., Nov 2010, In : Inverse Problems and Imaging. 4, 4, p. 665-673 9 p.

Research output: Contribution to journalArticle

Ultrasound
Tomography
Ultrasonics
Modulation
Hinges
2008
214 Citations (Scopus)

A survey in mathematics for industry: Mathematics of thermoacoustic tomography

Kuchment, P. & Kunyansky, L., Apr 2008, In : European Journal of Applied Mathematics. 19, 2, p. 191-224 34 p.

Research output: Contribution to journalArticle

Photoacoustic Tomography
Thermoacoustics
Tomography
Industry
Photoacoustic effect
24 Citations (Scopus)

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

Kunyansky, L., Oct 1 2008, In : Inverse Problems. 24, 5, 055021.

Research output: Contribution to journalArticle

Thermoacoustics
Reconstruction Algorithm
Tomography
Efficient Algorithms
Radon Transform
2007
77 Citations (Scopus)
Spherical Means
Radon Transform
Radon
Series Solution
radon
179 Citations (Scopus)

Explicit inversion formulae for the spherical mean Radon transform

Kunyansky, L., Mar 2 2007, In : Inverse Problems. 23, 1, p. 373-383 11 p., 021.

Research output: Contribution to journalArticle

Spherical Means
Radon Transform
Inversion Formula
Radon
radon
2004
10 Citations (Scopus)
Radon Transform
Radon
radon
Attenuation
Inversion
2002
28 Citations (Scopus)

Differential operators on graphs and photonic crystals

Kuchment, P. & Kunyansky, L., 2002, In : Advances in Computational Mathematics. 16, 2-3, p. 263-290 28 p.

Research output: Contribution to journalArticle

Photonic crystals
Photonic Crystal
Photonics
Wave propagation
Differential operator
24 Citations (Scopus)

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

Guillement, J. P., Jauberteau, F., Kunyansky, L., Novikov, R. & Trebossen, R., Dec 2002, In : Inverse Problems. 18, 6

Research output: Contribution to journalArticle

Single photon emission computed tomography
Computed Tomography
Attenuation
Photon
tomography
2001
159 Citations (Scopus)
Surface scattering
scattering
Fast Fourier transforms
Scattering
acoustic scattering
2 Citations (Scopus)
Inversion Formula
Reconstruction Algorithm
Tomography
Attenuation
Inversion
100 Citations (Scopus)

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

Kunyansky, L., Apr 2001, In : Inverse Problems. 17, 2, p. 293-306 14 p.

Research output: Contribution to journalArticle

SPECT
Inversion Formula
Reconstruction Algorithm
Explicit Formula
inversions
45 Citations (Scopus)

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

Bruno, O. P. & Kunyansky, L., Dec 8 2001, In : Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences. 457, 2016, p. 2921-2934 14 p.

Research output: Contribution to journalArticle

Surface scattering
Three-dimension
Scattering
Higher Order
Fast Fourier transform
1999
20 Citations (Scopus)

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

Axmann, W., Kuchment, P. & Kunyansky, L., Nov 1999, In : Journal of Lightwave Technology. 17, 11, p. 1996-2007 12 p.

Research output: Contribution to journalArticle

asymptotic methods
Photonics
Energy gap
photonics
Spontaneous emission
25 Citations (Scopus)

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

Kuchment, P. & Kunyansky, L., 1999, In : Experimental Mathematics. 8, 1, p. 1-28 28 p.

Research output: Contribution to journalArticle

Band Gap
Spectral Properties
Graph in graph theory
Operator
Spectral Gap
1992
28 Citations (Scopus)

Generalized and attenuated radon transforms: Restorative approach to the numerical inversion

Kunyansky, L., 1992, In : Inverse Problems. 8, 5, p. 809-819 11 p., 008.

Research output: Contribution to journalArticle

Numerical Inversion
Radon Transform
Radon
radon
inversions