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- S Siltanen, V Kolehmainen, S Järvenpää, J P Kaipio, P Koistinen, M Lassas +2 others
- Physics in medicine and biology
- 2003

In x-ray tomography, the structure of a three-dimensional body is reconstructed from a collection of projection images of the body. Medical CT imaging does this using an extensive set of projections from all around the body. However, in many practical imaging situations only a small number of truncated projections are available from a limited angle of view.… (More)

The problem of reconstructing an unknown electric conductivity from boundary measurements has applications in medical imaging, geophysics, and nondestructive testing. A. Nachman [Ann. of Math. 143 (1996)] proved global uniqueness for the 2-D inverse conductivity problem using a constructive method of proof. Based on this proof, Siltanen, Mueller and… (More)

- Kari Astala, Jennifer L Mueller, Lassi Päivärinta, Samuli Siltanen
- 2008

A numerical method is introduced for the evaluation of complex geometrical optics (cgo) solutions to the conductivity equation ∇ · σ∇u(· , k) = 0 in R 2 for piecewise smooth conductivities σ. Here k is a complex parameter. The algorithm is based on the solution by Astala and Päivärinta [Ann. of Math. 163 (2006)] of Calderón's inverse conductivity problem… (More)

The problem this paper addresses is how to use the two-dimensional D-bar method for electrical impedance tomography with experimental data collected on finitely many electrodes covering a portion of the boundary of a body. This requires an approximation of the Dirichlet-to-Neumann, or voltage-to-current density map, defined on the entire boundary of the… (More)

- Pertti Pasanen, Jari Kaipio, Docent Ville Kolehmainen, Marko Docent, Vauhkonen, David Boas +2 others

Optical tomography is a relatively new imaging modality in which images of the optical properties of the medium are estimated based on measurements of visible or near-infrared light on the surface of the object. The image reconstruction problem in optical tomography is a non-linear ill-posed inverse problem. Thus, even small errors in the measurements or… (More)

- S Siltanen, V Kolehmainen, S Järvenpää, J P Kaipio, P Koistinen, M Lassas +2 others

In X-ray tomography, the structure of a three dimensional body is reconstructed from a collection of projection images of the body. Medical CT imaging does this using an extensive set of projections from all around the body. However, in many practical imaging situations only a small number of truncated projections is available from a limited angle of view.… (More)

- K Astala, J L Mueller, A Per¨am¨aki, L P Aiv¨arinta, S Siltanen
- 2010

A new reconstruction algorithm is presented for eit in dimension two, based on the constructive uniqueness proof given by Astala and Päivärinta in [Ann. of Math. 163 (2006)]. The method is non-iterative, provides a noise-robust solution of the full nonlinear eit problem, and applies to more general conductivities than previous approaches. In particular, the… (More)

- M. Rantala, S. Vanska, S. Järvenpää, Martti Kalke, Matti Lassas, J. Moberg +1 other
- IEEE Trans. Med. Imaging
- 2006

The aim of X-ray tomography is to reconstruct an unknown physical body from a collection of projection images. When the projection images are only available from a limited angle of view, the reconstruction problem is a severely ill-posed inverse problem. Statistical inversion allows stable solution of the limited-angle tomography problem by complementing… (More)

Diagnostic and operational tasks based on dental radiology often require three-dimensional (3-D) information that is not available in a single X-ray projection image. Comprehensive 3-D information about tissues can be obtained by computerized tomography (CT) imaging. However, in dental imaging a conventional CT scan may not be available or practical because… (More)