Papers on modelling and mathematical properties of
real-life measurements
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H. Garde, N. Hyvönen, and T. Kuutela, Series reversion for practical electrical impedance tomography with modeling errors, Inverse Problems, 39, 085007 (2023).
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P. Hirvi, T. Kuutela, Q. Fang, A. Hannukainen, N. Hyvönen, and I. Nissilä, Effects of atlas-based anatomy on modelled light transport in the neonatal head, Physics in Medicine & Biology, 68, 135019 (2023).
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J. Dardé, N. Hyvönen, T. Kuutela, and T. Valkonen, Contact adapting electrode model for electrical impedance tomography, SIAM Journal on Applied Mathematics, 82, 427-449 (2022).
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V. Candiani, N. Hyvönen, J. Kaipio, and V. Kolehmainen, Approximation error method for imaging the human head by electrical impedance tomography, Inverse Problems, 37, 125008 (2021).
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A. Hannukainen, N. Hyvönen, and L. Perkkiö, Inverse heat source problem and experimental design for determining iron loss distribution, SIAM Journal on Scientific Computing, 43, B243-B270 (2021).
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H. Garde and N. Hyvönen,
Mimicking relative continuum measurements by electrode data in two-dimensional electrical impedance tomography, Numerische Mathematik, 147, 579-609 (2021).
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V. Candiani, J. Dardé, H. Garde, and N. Hyvönen,
Monotonicity-based reconstruction of extreme inclusions in electrical impedance tomography, SIAM Journal on Mathematical Analysis, 52, 6234-6259 (2020).
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V. Candiani, A. Hannukainen, and N. Hyvönen,
Computational framework for applying electrical impedance tomography to head imaging, SIAM Journal on Scientific Computing, 41, B1034-B1060 (2019).
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N. Hyvönen and L. Mustonen,
Generalized linearization techniques in electrical impedance tomography, Numerische Mathematik, 140, 95-120 (2018).
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N. Hyvönen and L. Mustonen,
Smoothened complete electrode model, SIAM Journal on Applied Mathematics, 77, 2250-2271 (2017).
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N. Hyvönen, L. Päivärinta, and J. Tamminen,
Enhancing D-bar reconstructions for electrical impedance tomography with conformal maps, Inverse Problems and Imaging, 12, 373-400 (2018).
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N. Hyvönen, H. Majander, and S. Staboulis,
Compensation for geometric modeling errors by positioning of electrodes in electrical impedance tomography, Inverse Problems, 33, 035006 (2017).
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L. Chesnel, N. Hyvönen, and S. Staboulis,
Construction of invisible conductivity perturbations for the point electrode model in electrical impedance tomography, SIAM Journal on Applied Mathematics, 75, 2093-2109 (2015).
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M. Leinonen, H. Hakula, and N. Hyvönen,
Application of stochastic Galerkin FEM to the complete electrode model
of electrical impedance tomography, Journal of Computational Physics, 269, 181-200 (2014).
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N. Hyvönen, A. K. Nandakumaran, H. M. Varma, and R. M. Vasu,
Generalized eigenvalue decomposition of the field autocorrelation in correlation diffusion of photons in turbid media, Mathematical Methods in the Applied Sciences, 36, 1447-1458 (2013).
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H. M. Varma, K. P. Mohanan, N. Hyvönen, A. K. Nandakumaran, and R. M.
Vasu,
Ultrasound-modulated optical tomography: Recovery of amplitude of
vibration in the insonified region from
boundary measurement of light correlation, Journal
of the Optical Society of America A, 28, 2322-2331 (2011).
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H. Hakula, L. Harhanen, and N. Hyvönen,
Sweep data of electrical impedance
tomography, Inverse Problems, 27, 115006 (2011)..
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M. Hanke, B. Harrach, and N. Hyvönen, Justification of point electrode models in electrical impedance tomography, Mathematical Models and Methods in Applied Sciences, 21, 1395-1413 (2011).
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N. Hyvönen, M. Kalke, M. Lassas, H. Setälä, and S.
Siltanen,
Three-dimensional dental X-ray
imaging by combination of panoramic and projection data,
Inverse Problems and Imaging, 4, 257-271 (2010).
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N. Hyvönen, K. Karhunen, and A. Seppänen, Frechet derivative with
respect to the
shape of an internal electrode in electrical impedance
tomography, SIAM Journal on Applied Mathematics,
70, 1878-1898 (2010).
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M. Hanke, N. Hyvönen, and S. Reusswig, An inverse backscatter
problem for electric impedance tomography,
SIAM Journal on Mathematical Analysis, 41, 1948-1966
(2009).
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N. Hyvönen, Comparison of
idealized and electrode Dirichlet-to-Neumann maps in electric impedance
tomography with an application to boundary determination of
conductivity, Inverse Problems, 25, 085008
(2009).
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N. Hyvönen, Approximating idealized
boundary data of electric impedance tomography
by electrode measurements, Mathematical Models
and Methods in Applied Sciences, 19, (2009).
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H. Hakula and N. Hyvönen, On computation of test dipoles
for factorization method,
accepted to BIT Numerical Mathematics.
- A. Lechleiter, N. Hyvönen, and H. Hakula, The factorization method
applied to the complete electrode model of impedance
tomography, SIAM Journal on Applied
Mathematics, 68, 1097-1121 (2008).
- N. Hyvönen, Complete electrode model of electrical impedance tomography: Approximation properties and characterization of inclusions,
SIAM Journal on Applied Mathematics 64, 902-931 (2004).
- N. Hyvönen, Analysis of optical tomography with non-scattering regions, Proceedings of the Edinburgh Mathematical Society 45, 257-276 (2002).