Publications of Samuli Siltanen


Submitted manuscripts

Gaitan P, Isozaki H, Poisson O, Siltanen S and Tamminen J P,
Inverse problems for time-dependent singular heat conductivities - one-dimensional case. PDF (307 KB)

Kolehmainen V, Lassas M, Ola P and Siltanen S,
Recovering boundary shape and conductivity in electrical impedance tomography. PDF (1.9 MB)

Lassas M, Mueller J L, Siltanen S and Stahel A,
The Novikov-Veselov Equation and the Inverse Scattering Method, Part I: Analysis. PDF (274 KB)

Lassas M, Mueller J L, Siltanen S and Stahel A,
The Novikov-Veselov Equation and the Inverse Scattering Method, Part II: Computation. PDF (20.8 MB)

Sampo J, Takalo J, Siltanen S, Lassas M, Miettinen A and Timonen J,
Curvelet-based method for orientation estimation of particles. PDF (1.1 MB)


To appear

Gaitan P, Isozaki H, Poisson O, Siltanen S and Tamminen J P,
Probing for inclusions in heat conductive bodies.
To appear in Inverse Problems and Imaging. PDF (632 KB)

Ikehata M, Niemi E and Siltanen S,
Inverse obstacle scattering with limited-aperture data.
To appear in Inverse Problems and Imaging. PDF (414 KB)

Siltanen S and Tamminen J P,
Reconstructing conductivities with boundary corrected D-bar method.
To appear in Journal of Inverse and Ill-posed Problems. PDF (572 KB)


Published articles

2012

Kolehmainen V, Lassas M, Niinimaki K and Siltanen S 2012,
Sparsity-promoting Bayesian inversion.
Inverse Problems 28, 02005. PDF (668 KB)

2011

Astala K, Mueller J L, Paivarinta L, Peramaki A and Siltanen S 2011,
Direct electrical impedance tomography for nonsmooth conductivities.
Inverse Problems and Imaging 5(3), pp. 531-549. PDF (284 KB)

Krupchyk K, Lassas M and Siltanen S 2011,
Determining electrical and heat transfer parameters using coupled boundary measurements.
SIAM Journal on Mathematical Analysis 43(5), pp. 2096-2115. PDF (176 KB)

Nakamura G, Ronkanen P, Siltanen S and Tanuma K 2011,
Recovering conductivity at the boundary in three-dimensional electrical impedance tomography.
Inverse Problems and Imaging 5(2), pp. 485-510. PDF (700 KB)

Seppanen A, Nissinen A, Kolehmainen V, Siltanen S and Laukkanen A-M 2011,
Electrical impedance tomography imaging of larynx.
Models and analysis of vocal emissions for biomedical applications,
7th International Workshop, August 25-27, 2011, Firenze, Italy. PDF (18.2 MB)

Takalo J, Timonen J, Sampo J, Siltanen S and Lassas M 2011,
Determination of the areal material distribution of paper from its optical transmission image.
European Physical Journal - Applied Physics 55, 20701 PDF (56.5 MB)

2010

Astala K, Mueller J L, Paivarinta L and Siltanen S 2010,
Numerical computation of complex geometrical optics solutions to the conductivity equation.
Applied and Computational Harmonic Analysis 29, pp. 2-17. PDF (240 KB)

Helin T, Lassas M and Siltanen S 2010,
Infinite Photography: new mathematical model for high-resolution images.
Journal of Mathematical Imaging and Vision 36(2), pp. 140-158. PDF (1.1 MB)

Hyvonen N, Kalke M, Lassas M, Setala H and Siltanen S 2010,
Three-dimensional X-ray imaging using hybrid data collected with a digital panoramic device.
Inverse Problems and Imaging 4(2), pp. 257-271. PDF (724 KB)

Ide T, Isozaki H, Nakata S and Siltanen S 2010,
Local detection of three-dimensional inclusions in electrical impedance tomography.
Inverse Problems 26 035001. PDF (500 KB)

2009

Knudsen K, Lassas M, Mueller J L and Siltanen S 2009,
Regularized D-bar method for the inverse conductivity problem.
Inverse Problems and Imaging 3(4), pp. 599-624. PDF (408 KB)

Lassas M, Saksman E and Siltanen S 2009,
Discretization invariant Bayesian inversion and Besov space priors.
Inverse Problems and Imaging 3(1), pp. 87-122. PDF (383 KB)

Vanska S, Lassas M and Siltanen S 2009,
Statistical X-ray tomography using empirical Besov priors.
International Journal of Tomography & Statistics 11, pp. 3-32. PDF (357 KB)

Kolehmainen V, Niinimaki K and Siltanen S 2009,
Bayesian Wavelet Based Multiresolution Method for Local Tomography,
The 10th European Congress of Stereology and Image Analysis, Milan, Italy, June 2009.

2008

Bingham K, Kurylev Y, Lassas M and Siltanen S 2008,
Iterative Time-Reversal Control for Inverse Problems.
Inverse Problems and Imaging 2(1), pp. 63-81. PDF (211 KB)

Knudsen K, Lassas M, Mueller J L and Siltanen S 2008,
Reconstructions of Piecewise Constant Conductivities by the D-bar Method for Electrical Impedance Tomography.
Proceedings of the 4th AIP International Conference and the 1st Congress of the IPIA, Vancouver, 2007.
Journal of Physics: Conference Series 124. PDF (241 KB)

Kolehmainen V, Lassas M and Siltanen S 2008,
Limited data X-ray tomography using nonlinear evolution equations.
SIAM Journal of Scientific Computation 30(3), pp. 1413–1429. PDF (642 KB)

2007

Ide T, Isozaki H, Nakata S, Siltanen S and Uhlmann G 2007,
Probing for electrical inclusions with complex spherical waves.
Communications on Pure and Applied Mathematics 60(10), pp. 1415-1442. PDF (351 KB)

Lassas M, Mueller J L and Siltanen S 2007,
Mapping properties of the nonlinear Fourier transform in dimension two.
Communications in Partial Differential Equations 32(4), pp. 591-610. PDF (215 KB)
Author Posting. (c) Taylor & Francis, 2007.
This is the author's version of the work. It is posted here by permission of Taylor & Francis for personal use, not for redistribution.
The definitive version is available as http://dx.doi.org/10.1080/03605300500530412.

Knudsen K, Lassas M, Mueller J L and Siltanen S 2007,
D-bar method for electrical impedance tomography with discontinuous conductivities.
SIAM Journal of Applied Mathematics 67(3), pp. 893-913. PDF (327 KB)

Kolehmainen V, Vanne A, Siltanen S, Jarvenpaa S, Kaipio J P, Lassas M and Kalke M 2007,
Bayesian Inversion Method for 3-D Dental X-ray Imaging.
Elektrotechnik & Informationstechnik 124(7-8), pp. 248–253. PDF (179 KB).

Niinimaki K, Siltanen S and Kolehmainen V 2007,
Bayesian multiresolution method for local tomography in dental X-ray imaging.
Physics in Medicine and Biology 52, pp. 6663-6678. PDF (1 MB)

Niinimaki K, Siltanen S and Kolehmainen V 2007,
Multiresolution local tomography in dental radiology using wavelets,
29th International Conference of the IEEE Engineering in Medicine and Biology Society, Lyon, France, August 2007.

Zhong D, Siltanen S, Tanskanen J M A and Hyttinen J 2007,
Using MEAs for On-line EIT Measurement,
Proceeding of 13th International Conference on Electrical Bioimpedance (ICEBI07), Graz, Austria, August 2007

2006

Cornean H, Knudsen K and Siltanen S 2006,
Towards a d-bar reconstruction method for three-dimensional EIT.
Journal of Inverse and Ill-Posed Problems 14(2), pp. 111-134. PDF (231 KB)

Isaacson D, Mueller J L, Newell J and Siltanen S 2006,
Imaging Cardiac Activity by the D-bar Method for Electrical Impedance Tomography.
Physiological Measurement 27, pp. S43-S50. PDF (1.4 MB).

Kolehmainen V, Vanne A, Siltanen S, Jarvenpaa S, Kaipio J P, Lassas M and Kalke M 2006,
Parallelized Bayesian inversion for three-dimensional dental X-ray imaging,
IEEE Transactions on Medical Imaging 25(2), pp. 218-228. PDF (416 KB).

Rantala M, Vanska S, Jarvenpaa S, Kalke M, Lassas M, Moberg J and Siltanen S 2006,
Wavelet-based reconstruction for limited angle X-ray tomography,
IEEE Transactions on Medical Imaging 25(2), pp. 210-217. PDF (368 KB).

2005

Nakamura G, Siltanen S, Tanuma K and Wang S 2005,
Numerical recovery of conductivity at the boundary from the localized Dirichlet to Neumann map,
Computing 75(2-3), pp. 197-213. PDF (400 KB).

2004

Ikehata M and Siltanen S 2004,
Electrical impedance tomography and Mittag-Leffler's function,
Inverse Problems 20, pp. 1325-1348. PDF (476 KB)

Ikehata M and Siltanen S 2004,
Numerical solution of the Cauchy problem for the stationary Schrödinger equation using Faddeev's Green function,
SIAM Journal of Applied Mathematics 64(6), pp. 1907-1932. PDF (670 KB)

Isaacson D, Mueller J L, Newell J and Siltanen S 2004,
Reconstructions of chest phantoms by the d-bar method for electrical impedance tomography,
IEEE Transactions on Medical Imaging 23(7), pp. 821- 828. PDF (664 KB)

Knudsen K, Mueller J L and Siltanen S 2004,
Numerical solution method for the dbar-equation in the plane,
Journal of Computational Physics 198(2), pp. 500-517. PDF (311 KB)

Lassas M and Siltanen S 2004,
Can one use total variation prior for edge-preserving Bayesian inversion?
Inverse Problems 20, pp. 1537-1563. PDF (352 KB)

Isaacson D, Mueller J L, Newell J and Siltanen S 2005,
D-Bar Images of Cardiac Activity,
6th Conference on Biomedical Applications of Electrical Impedance Tomography, University College London, UK, June 22-24, 2005.

2003

Kolehmainen V, Siltanen S, Jarvenpaa S, Kaipio J P, Koistinen P, Lassas M, Pirttila J and Somersalo E 2003,
Statistical inversion for medical X-ray tomography with few radiographs II: Application to dental radiology,
Physics in Medicine and Biology 48, pp. 1465-1490. PDF (1.2 MB)

Mueller J L and Siltanen S 2003,
Direct reconstructions of conductivities from boundary measurements,
SIAM Journal of Scientific Computation 24(4), pp. 1232-1266. PDF (617 KB)

Nykanen K and Siltanen S 2003,
X-ray scattering in full-field digital mammography,
Medical Physics 30(7), pp. 1864-1873;
Also appeared in Virtual Journal of Biological Physics Research, July 1, 2003. PDF (244 KB)

Siltanen S, Kolehmainen V, Jarvenpaa S, Kaipio J P, Koistinen P, Lassas M, Pirttila J and Somersalo E 2003,
Statistical inversion for medical X-ray tomography with few radiographs I: General theory,
Physics in Medicine and Biology 48, pp. 1437-1463. PDF (407 KB)

Nykanen K and Siltanen S 2003,
Advantages of gridless full-field digital mammography ,
Proc. SPIE Int. Soc. Opt. Eng. 5030, 137

Lehtimaki M, Pamilo M, Raulisto L, Roiha M, Kalke M, Siltanen S and Ihamaki T 2003,
Diagnostic Clinical Benefits of Digital Spot and Digital 3D Mammography Following Analysis of Screening Findings,
Medical Imaging 2003: Visualization, Image-Guided Procedures, and Display, Robert L. Galloway. Jr., Editor, Proceedings of SPIE 5029, 698-706.

2002

Lassas M, Mataich M, Siltanen S and Somersalo E 2002,
Wind velocity observation with a CW Doppler radar,
IEEE Transactions on Geoscience and Remote Sensing 40(11), pp. 2427-2437.

Mueller J L, Siltanen S and Isaacson D 2002,
A direct reconstruction algorithm for electrical impedance tomography,
IEEE Transactions on Medical Imaging 21(6), pp. 555-559. PDF (1.2 MB)

2001

Siltanen S, Mueller J L and Isaacson D 2001,
Reconstruction of High Contrast 2-D Conductivities by the Algorithm of A. Nachman,
Contemporary Mathematics 278, pp. 241-254. PDF 1.2 MB

Siltanen S, Mueller J L and Isaacson D 2001,
Erratum: An implementation of the reconstruction algorithm of A. Nachman for the 2-D inverse conductivity problem,
Inverse problems 17, pp. 1561-1563. PDF (2.6 MB)

2000

Ikehata M and Siltanen S 2000,
Numerical method for finding the convex hull of an inclusion in conductivity from boundary measurements,
Inverse Problems 16, pp. 1043-1052. PDF 259 KB

Siltanen S, Mueller J L and Isaacson D 2000,
An implementation of the reconstruction algorithm of A. Nachman for the 2-D inverse conductivity problem,
Inverse Problems 16, pp. 681-699. PDF 845 KB

1999

Siltanen S 1999,
Electrical Impedance Tomography and Faddeev's Green functions,
Ann. Acad. Sci. Fenn. Mathematica Dissertationes 121. PostScript (6.9 MB)


Patents

Kalke M, Suuronen E, Siltanen S and Setälä Henri 2009,
Method and system for determining a sharp panoramic image constructed from a group of projection images,
Finnish patent 119080.

Kaipio J, Siltanen S, Kalke M, Kolehmainen V and Lassas M 2007,
Method and arrangement for three-dimensional medical X-ray imaging,
United States patent 7274766.

Kalke M, Siltanen S, Vanska S, Lassas M and Rantala M 2007,
Method and arrangement for multiresolutive reconstruction for medical X-ray imaging,
United States patent 7215730.

Siltanen S 2007,
Method and arrangement for enhanced detection of breast cancer,
Finnish patent 117744.

Kaipio J L, Kolehmainen V, Lassas M, Siltanen S and Somersalo E 2006,
Method and arrangement for three-dimensional medical X-ray imaging,
United States patent 7269241, filed on August 27, 2003, issued on September 11, 2007.
Finnish patent 116750.


Duties as editor

Member of the editorial board of International Journal of Mathematics and Computer Science.

Isaacson D, Mueller J L and Siltanen S (guest editors)
Special issue on electrical impedance tomography of Physiological Measurement (volume 24, 2003)


Other publications

Siltanen S 2011,
Three-dimensional X-ray imaging for dentists.
in European success stories in industrial mathematics, Springer, p. 10.

Siltanen S 2006:
Electrical impedance tomography: medical imaging meets inverse quantum scattering
CSC News 2/2006 pp. 26-28. Electronic article

Lassas M, Mueller J L and Siltanen S 2005,
Inverse Schrödinger scattering in R2 for conductivity-type potentials,
Helsinki University of Technology Institute of Mathematics Research Reports A488.

Lassas M, Lehtinen R, Saramaki J and Siltanen S (eds.) 1997:
Who needs mathematics? (In Finnish)
A booklet printed for all Finnish school children on 9th grade.

Siltanen S and von Pfaler J 1994
Symbolic manipulation of differential systems with AXIOM computer algebra system,
Helsinki University of Technology Institute of Mathematics Research Reports A343.


This page was last updated on January 11, 2012.
Research homepage of Samuli Siltanen