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- Nuutti Hyvönen
- SIAM Journal of Applied Mathematics
- 2004

In electrical impedance tomography one tries to recover the spatial admittance distribution inside a body from boundary measurements. In theoretical considerations it is usually assumed that the boundary data consists of the Neumann-to-Dirichlet map; when conducting realworld measurements, the obtainable data is a linear finite-dimensional operator mapping… (More)

- Jérémi Dardé, Nuutti Hyvönen, Aku Seppänen, Stratos Staboulis
- SIAM J. Imaging Sciences
- 2013

- Armin Lechleiter, Nuutti Hyvönen, Harri Hakula
- SIAM Journal of Applied Mathematics
- 2008

- Martin Hanke, Nuutti Hyvönen, Stefanie Reusswig
- Numerische Mathematik
- 2011

In various imaging problems the task is to use the Cauchy data of the solutions to an elliptic boundary value problem to reconstruct the coefficients of the corresponding partial differential equation. Often the examined object has known background properties but is contaminated by inhomogeneities that cause perturbations of the coefficient functions. The… (More)

- Martin Hanke, Nuutti Hyvönen, Stefanie Reusswig
- SIAM J. Imaging Sciences
- 2008

In this talk we extend the concept of the convex scattering support to the case of electrostatics in a bounded domain. Furthermore, we apply this approach to devise a new reconstruction algorithm in electric impedance tomography. The convex scattering support was developed by Stephen Kusiak and John Sylvester, cf. [3],[4], and is meant to be the smallest… (More)

- Matti Leinonen, Harri Hakula, Nuutti Hyvönen
- J. Comput. Physics
- 2014

- Nuutti Hyvönen, TEKNILLINEN KORKEAKOULU, TEKNISKA HÖGSKOLAN, Erkki Somersalo
- 2004

This thesis presents mathematical analysis of optical and electrical impedance tomography. We introduce papers [I–III], which study these diffusive tomography methods in the situation where the examined object is contaminated with inclusions that have physical properties differing from the background. AMS subject classifications: 35R30, 35Q60, 35J25, 31A25,… (More)

- Martin Hanke, Nuutti Hyvönen, Stefanie Reusswig
- SIAM J. Math. Analysis
- 2009

In the paper [1] we have claimed (in the concluding remarks) that the same arguments that we have used in the rest of the paper for insulating cavities can also be applied to establish that two (simply connected) perfectly conducting inclusions with the same backscatter data of impedance tomography are necessarily the same. Unfortunately, while our… (More)

- Nuutti Hyvönen
- SIAM Journal of Applied Mathematics
- 2007