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Matematiikan ja tilastotieteen laitoksen henkilökunta-alue

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Publication page of Matti Lassas

Here is the list of my publications. I am very willing (of course) to send also paper copies of them to anyone interested. WARNING: The preprints of the papers may differ from the published versions of the articles.

Monographs and monograph dissertation

  1. A. Katchalov, Y. Kurylev, M. Lassas: Inverse Boundary Spectral Problems , Monographs and Surveys in Pure and Applied Mathematics 123, Chapman Hall/CRC-press, 2001, xi+290 pp.
  2. M. Lassas: Non-selfadjoint inverse spectral problems and their applications to random bodies. Annales Academiae Scientiarum Fennicae. Mathematica. Dissertationes 103 (1995), 108 pp.

Submitted papers and preprints

  1. M. Lassas, T. Saksala, H. Zhou: Reconstruction of a compact Riemannian manifold from the scattering data of internal sources. Arxiv preprint.
  2. T. von Lerber, M. Lassas, Q.T. Le, V. Lyubopytov, A. Chipouline, K. Hofmann, F. Kueppers: Optical computing by injection-locked lasers. Arxiv preprint.
  3. C. Fefferman, S. Ivanov, Y. Kurylev, M. Lassas, H. Narayanan: Reconstruction and interpolation of manifolds I: The geometric Whitney problem. Arxiv preprint.
  4. R. Bosi, Y. Kurylev, M. Lassas: Reconstruction and stability in Gel'fand's inverse interior spectral problem. Arxiv preprint
  5. A. Greenleaf, M. Lassas, M. Santacesaria, S. Siltanen, G. Uhlmann: Propagation and recovery of singularities in the inverse conductivity problem, Arxiv preprint.
  6. M. Lassas, T. Liimatainen, M. Salo: The Calderón problem for the conformal Laplacian. Arxiv preprint.
  7. P. Caro, T. Helin, M. Lassas: Inverse scattering for a random potential. Arxiv preprint.
  8. Y. Kurylev, M. Lassas, L. Oksanen: Hyperbolic inverse problem with data on disjoint sets. Arxiv preprint.
  9. H. Kettunen, M. Lassas, P. Ola: On Absence and Existence of the Anomalous Localized Resonance without the Quasi-static Approximation. Arxiv preprint.


Published papers

In print

  1. Y. Kurylev, M. Lassas, G. Uhlmann: Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations. To appear in Inventiones Mathematicae. Arxiv preprint. See also supplementary material (e.g. videos).
  2. A. Greenleaf, H. Kettunen, Y. Kurylev, M. Lassas, G. Uhlmann: Superdimensional Metamaterial Resonators. To appear in SIAM Journal on Applied Mathematics. Arxiv preprint.
  3. M. Lassas, G. Uhlmann, Y. Wang: Inverse problems for semilinear wave equations on Lorentzian manifolds.To appear in Communications in Mathematical Physics. Arxiv preprint.
  4. M. Lassas, T. Saksala: Determination of a Riemannian manifold from the distance difference functions. To appear in Asian Journal of Mathematics. Arxiv preprint.
  5. T. Helin, M. Lassas, L. Oksanen, T. Saksala: Correlation based passive imaging with a white noise source. To appear in Journal de Mathematiques Pures et Appliquees. preprint.
  6. M. Lassas, L. Oksanen, P. Stefanov, G. Uhlmann: On the inverse problem of finding cosmic strings and other topological defects. To appear in Communications in Mathematical Physics. Arxiv preprint.

  7. R. Bosi, Y. Kurylev, M. Lassas: Stability of the unique continuation for the wave operator via Tataru inequality: the local case. To appear in Journal d'Analyse Mathematique. preprint.

  8.  A. Chipouline, V.S. Lyubopytov, T. von Lerber, M. Lassas, S. Paul, M.F. Schumann, J. Cesar, M. Wegener, F. Kueppers: Applications of VCSELs in optical transmission lines and vortex generation. To appear in Proceedings of the 17th International conference on Laser Optics 2018.

2017

  1. H. Isozaki, Y. Kurylev, M. Lassas: Conic singularities, generalized scattering matrix, and inverse scattering on asymptotically hyperbolic surfaces. Journal fur die reine und angewandte Mathematik (Crelle's journal) 724 (2017), 53-103. preprint.
  2. T. Helin, M. Lassas, L. Paivarinta: Inverse acoustic scattering problem in half-space with anisotropic random impedance. Journal of Differential Equations. 262 (2017), no. 4, 3139–3168. Arxiv preprint.

  3. T. Bubba, M. Marz, Z. Purisha, M.Lassas, S. Siltanen: Shearlet-based regularization in sparse dynamic tomography. Wavelets and Sparsity XVII, Proc. of SPIE Vol. 10394 (2017), 103940Y.

  4.  V. Lyubopytov, T. von Lerber, M. Lassas, M. Malekizandi, A. Chipouline,  F. Kueppers: Amplitude Noise Suppression and Orthogonal Multiplexing Using Injection-Locked Single-Mode VCSEL. Optical Fiber Communication Conference 2017, Optical Society of America, paper Tu3C.3.

2016

  1. D. Dos Santos Ferreira, Y. Kurylev, M. Lassas, M. Salo: The Calderon problem in transversally anisotropic geometries. Journal of European Mathematical Society. 18 (2016), Issue 11, 2579-2626. preprint.
  2. K. Niinimaki, M. Lassas, K. Hamalainen, A. Kallonen, V. Kolehmainen, E. Niemi and S. Siltanen: Multi-resolution parameter choice method for total variation regularized tomography. SIAM Journal on Imaging Sciences 9 (2016), Issue 3, 938-974. Arxiv preprint.
  3. J. Korpela, M. Lassas, L. Oksanen: Regularization strategy for an inverse problem for a 1+1 dimensional wave equation. Inverse Problems 32 (2016), N. 6, 24 p., 065001.
  4. H. Kekkonen, M. Lassas, S. Siltanen: Posterior consistency and convergence rates for Bayesian inversion with hypoelliptic operators. Inverse Problems 32 (2016), N. 8, 085005. Arxiv preprint.
  5. M. de Hoop, M. Lassas, M. Santacesaria, S. Siltanen, P. Tamminen: Positive-energy D-bar method for acoustic tomography: a computational study. Inverse Problems 32 (2016), 025003.
  6. M. Lassas, L. Oksanen, Y. Yang: Determination of the Spacetime from Local Time Measurements. Mathematische Annalen 365 (2016), 271. Arxiv preprint.

  7. M. Lassas, T. Zhou: The blow-up of electromagnetic fields in 3-dimensional invisibility cloaking for Maxwell's equations. SIAM Journal on Applied Mathematics  76 (2016), 457-478. Arxiv preprint.

  8. R. Bosi, Y. Kurylev, M. Lassas: Stability of the unique continuation for the wave operator via Tataru inequality and applications. Journal of Differential Equations 260 (2016), 6451-6492. Arxiv preprint.
  9. K. Astala, M. Lassas, L. Paivarinta: The borderlines of the invisibility and visibility for Calderon's inverse problem.  Analysis and PDE 9 (2016), 43-98. Preprint.

2015

  1. E. Niemi, M. Lassas, A. Kallonen, L. Harhanen, K. Hamalainen and S. Siltanen: Dynamic multi-source X-ray tomography using a spacetime level set method. Journal of Computational Physics 291 (201)5, 218-237.
  2. M. de Hoop, S. Holman, E. Iversen, M. Lassas, B. Ursin: Recovering the isometry type of a Riemannian manifold from local boundary diffraction travel times. Journal de Mathematiques Pures et Appliquees 103 (2015), 830-848. preprint.
  3. M. Lassas, M. Salo, L. Tzou: Inverse problems and invisibility cloaking for FEM models and resistor networks. Mathematical Models and Methods in Applied Sciences 25 (2015), 309. preprint.
  4. H. Isozaki, Y. Kurylev, M. Lassas: Inverse scattering on multi-dimensional asymptotically hyperbolic orbifolds. Spectral Theory and Partial Differential Equations (Eds. G. Eskin, L. Friedlander, J. Garnett). Contemporary Mathematics 640 (2015), pp. 71-86.

2014

  1. M. de Hoop, S. Holman, E. Iversen, M. Lassas, B. Ursin: Recovery of a conformally Euclidean metric from local boundary diffraction travel times. SIAM Journal on Mathematical Analysis 46 (2014), 3705-3726. preprint.
  2. T. Helin, M. Lassas, L. Oksanen: Inverse problem for the wave equation with a white noise source. Communications in Mathematical Physics 332 (2014), 933-953. preprint.
  3. S. Hamilton, M. Lassas and S. Siltanen: A Direct Reconstruction Method for Anisotropic Electrical Impedance Tomography. Inverse Problems 30 (2014), 075007. preprint.
  4. M. Lassas, L. Oksanen: Inverse problem for the Riemannian wave equation with Dirichlet data and Neumann data on disjoint sets. Duke Mathematical Journal 163 (2014), 1071-1103. preprint.
  5. H. Kekkonen, M. Lassas, S. Siltanen: Analysis of regularized inversion of data corrupted by white Gaussian noise. Inverse Problems 30 (2014), 045009. preprint.
  6. J. Takalo, J. Timonen, J. Sampo, M. Rantala, S. Siltanen, M. Lassas: Using the fibre structure of paper to determine authenticity of the documents: Analysis of transmitted light images of stamps and banknotes. Forensic Science International 244 (2014), 252-258.
  7. K. Krupchyk, M. Lassas, G. Uhlmann: Inverse boundary value problems for the perturbed polyharmonic operator. Transactions of American Mathematical Society 366 (2014), 95-112. preprint
  8. J. Sampo, J. Takalo, S. Siltanen, A. Miettinen, M. Lassas, and J. Timonen: Curvelet-based method for orientation estimation of particles from optical images. SPIE Optical engineering 53 (2014) 033109. article.
  9. J. Takalo, J. Timonen, J. Sampo, K. Marjanen, S. Siltanen and M. Lassas: Evaluation of the orientation distribution of fibers from reflection images of fibrous samples. The European Physical Journal - Applied Physics 65(2014), 10703. Article
  10. H. Isozaki, Y. Kurylev, M. Lassas: Recent progress of inverse scattering theory on non-compact manifolds. Inverse Problems and Applications (Eds. P. Stefanov, A. Vasy, M. Zworski). Contemporatry Mathematics 615 (2014), 143-165. preprint.
  11. M. Lassas, L. Oksanen: Local reconstruction of a Riemannian manifold from a restriction of the hyperbolic Dirichlet-to-Neumann operator. Inverse Problems and Applications (Eds. P. Stefanov, A. Vasy, M. Zworski). Contemporatry Mathematics 615 (2014), 223-233.
  12. M. Rantala, M. Lassas, J. Sampo, J. Takalo, J. Timonen, S. Siltanen: Modelling and analysing oriented fibrous structures. Proceedings of 2nd International Conference on Mathematical Modeling in Physical Sciences. Journal of Physics Conference Series 490 (2014), 012089.
  13. J. Takalo, J. Timonen, J. Sampo, M. Rantala, S. Siltanen, and M. Lassas: Towards a "fingerprint" of paper network; separating forgeries from genuine from the properties of fibre structure. Proceedings of SPIE 9253 (2014), 92530A; doi:10.1117/12.2066809.

2013

  1. M. Lassas, S. Siltanen: Foreword: inverse problems in biology. Journal of Mathematical Biology: June, 2013, p. 1.
  2. K. Hamalainen, A. Kallonen, V. Kolehmainen, M. Lassas, K. Niinimaki, and S. Siltanen: Sparse tomography. SIAM Journal of Scientific Computing 35 (2013), B644-B665. preprint.
  3. V. Kolehmainen, M. Lassas, P. Ola, S. Siltanen: Recovering boundary shape and conductivity in electrical impedance tomography. Inverse Problems and Imaging 7 (2013), 217-242. preprint.
  4. J. Sampo, J. Takalo, S. Siltanen, M. Lassas, J. Timonen, and A. Miettinen Curvelet-based method for orientation estimation of particles. Proc. SPIE. 8858, Wavelets and Sparsity XV 885825, (September 26, 2013) doi: 10.1117/12.2025342. preprint.
  5. E. Niemi, M. Lassas, S. Siltanen: Dynamic X-ray tomography with multiple sources. Proceedings of 8th International Symposium on Image and Signal Processing and Analysis (ISPA 2013), 2013, pp. 618-621. DOI: 10.1109/ISPA.2013.6703813. Article, preprint
  6. K. Astala, M. Lassas, L. Paivarinta: The Calderon's Inverse problem - Imaging and Invisibility. In the book Inside out II (Ed. Gunther Uhlmann), Cambridge University press, 2013, pp. 1-54.preprint .
  7. G. Milton, M. Lassas: Invisibility cloaking. Encyclopedia of Applied and Computational Mathematics, (ed. B. Engquist et al) Springer Verlag, 2013, 3 pp.

2012

  1. A. Greenleaf, Y. Kurylev, M. Lassas, U. Leonhardt, G. Uhlmann: Cloaked electromagnetic, acoustic, and quantum amplifiers via transformation optics, Proceedings of the National Academy of Sciences (PNAS), 2012, vol. 109, no. 26, 10169-10174. article
  2. K. Krupchyk, M. Lassas: An inverse problem for a hyperbolic system on a vector bundle and energy measurements. Mathematische Annalen 354 (2012), 1431-1464. preprint
  3. T. Helin, M. Lassas, L. Oksanen: An inverse problem for the wave equation with one measurement and the pseudorandom source. Analysis and PDE 5 (2012), 887-912. preprint
  4. M. Lassas, J. Mueller, S. Siltanen and A. Stahel: The Novikov-Veselov Equation and the Inverse Scattering Method, Part I: Analysis. Physica D 241 (2012), 1322-1335. preprint.
  5. M. Lassas, J. Mueller, S. Siltanen and A. Stahel: The Novikov-Veselov Equation and the Inverse Scattering Method, Part II: Computation. Nonlinearity 25 (2012), 1799-1818. preprint
  6. K. Krupchyk, M. Lassas, G. Uhlmann: Inverse problems with partial data for a magnetic Schrödinger operator in an infinite slab and on a bounded domain. Communications in Mathematical Physics 312 (2012), 87-126. preprint
  7. K. Krupchyk, M. Lassas, G. Uhlmann: Determining a first order perturbation of the biharmonic operator by partial boundary measurements. Journal of Functional Analysis 262 (2012), 1781-1801. preprint
  8. V. Kolehmainen, M. Lassas, K. Niinimaki and S. Siltanen: Sparsity-promoting Bayesian inversion. Inverse Problems 28 (2012) 025005 (28pp). preprint
  9. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Transformation Optics Based Cloaked Sensors. Proceedings of Metamaterials'2012: The 6th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics. Eds. S. Tretyakov, A. Schuchinsky, B. Bilotti, 2012, Metamorphose VI, 240-242. article

2011

  1. K. Krupchyk, M. Lassas, S. Siltanen: Determining electrical and heat transfer parameters using coupled boundary measurements. SIAM Journal on Mathematical Analysis 43 (2011), 2096-2115. preprint
  2. K. Krupchyk, M. Lassas, G. Uhlmann: Inverse problems for differential forms on Riemannian manifolds with boundary. Communications in Partial Differential Equations 36 (2011), 1475-1509. preprint
  3. M. Lassas, T. Zhou: Two dimensional invisibility cloaking for Helmholtz equation and non-local boundary conditions. Mathematical Research Letters 18 (2011), 473-488. preprint.
  4. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Approximate quantum and acoustic cloaking. Journal of Spectral Theory 1 (2011), 27-80. preprint.
  5. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Cloaking a Sensor via Transformation Optics. Physical Review E 83, 016603 (2011). Preprint entitled as "Cloaking vs. shielding in transformation optics". Suplemental material contain three videos (avi-files, each 6.7 MB): cloak in generic modecloak in trapping modecloak in sensor mode.
  6. T. Helin, M. Lassas: Hierarchical models in statistical inverse problems and the Mumford-Shah funcional. Inverse Problems 27 (2011), 015008, 32 pp. preprint.
  7. M. Lassas, M. Salo, G. Uhlmann: Wave imaging. Chapter in Handbook of Mathematical Methods in Imaging, O. Scherzer (Ed.), Springer-Verlag, 2011, 50 pp. pdf
  8. J. Takalo, J. Timonen, J. Sampo, S. Siltanen, M. Lassas: Determination of the areal material distribution of paper from its optical transmission image. European Physical Journal - Applied Physics 55 (2011), 20701. pdf
  9. M. Lassas, L. Oksanen: The inverse problem for the wave equation and two acquisition geometries. In "Proceedings of Workshop on Inverse Problems, Data and Mathematical Statistics and Ecology" (Eds: Kozlov et al), 2011, Linkoping University, pp. 43-50, article.

2010

  1. Y. Kurylev, M. Lassas, G. Uhlmann: Rigidity of broken geodesic flow and inverse problems. American Journal of Mathematics 132 (2010), 529-562. preprint.
  2. H. Isozaki, Y. Kurylev, M. Lassas: Forward and Inverse scattering on manifolds with asymptotically cylindrical ends. Journal of Functional Analysis 258 (2010), 2060-2118. preprint.
  3. K. Krupchyk, Y. Kurylev, M. Lassas: Reconstruction of Betti numbers of manifolds for anisotropic Maxwell and Dirac systems. Communications in Analysis and Geometry 18 (2010), 963-986. preprint.
  4. M. Lassas, L. Oksanen: Inverse problem for wave equation with sources and observations on disjoint set. Inverse Problems, 26 (2010), 085012. preprint.
  5. V. Kolehmainen, M. Lassas, P. Ola: Calderon's Inverse Problem with an Imperfectly Known Boundary and Reconstruction Up to a Conformal Deformation, SIAM Journal on Mathematical Analysis 42 (2010), 1371-1381. article.
  6. N. Hyvonen, M. Kalke, M. Lassas, H. Setala and S. Siltanen, Three-dimensional X-ray imaging using hybrid data collected with a digital panoramic device. Inverse Problems and Imaging 4 (2010) 257 - 271. preprint.
  7. T. Helin, M. Lassas, S. Siltanen: Infinite Photography: new mathematical model for high-resolution images. Journal of Mathematical Imaging and Vision 36 (2010), 140-158. preprint.
  8. T. Helin, M. Lassas: On the stability of MAP estimation with hierarchical prior distributions. The proceedings of 8th International Conference of Numerical Analysis and Applied Mathematics, AIP Conf. Proc. 1281, 1807 (2010), DOI:10.1063/1.3498240.

2009

  1. Y. Kurylev, M. Lassas: Inverse Problems and Index Formulae for Dirac Operators. Advances in Mathematics 221 (2009), 170-216. preprint.
  2. K. Knudsen, M. Lassas, J. Mueller, S. Siltanen: Regularized D-bar method for the inverse conductivity problem. Inverse Problems and Imaging 3 (2009), 559--642. preprint.
  3. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Cloaking Devices, Electromagnetic Wormholes and Transformation Optics. SIAM Review 51 (2009), 3-33.
  4. M. Dahl, A. Kirpichnikova, M. Lassas: Focusing waves in unknown media by modified time reversal iteration. SIAM Journal on Control and Optimization 48 (2009), Issue 2, 839-858. preprint.
  5. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Invisibility and Inverse Problems. Bulletin of the American Mathematical Society 46 (2009), 55-97. preprint.
  6. M. Lassas, S. Saksman, S. Siltanen: Discretization invariant Bayesian inversion and Besov space priors. Inverse Problems and Imaging 3 (2009), 87-122. preprint.
  7. S. Vanska, M. Lassas, S. Siltanen S: Statistical X-ray tomography using empirical Besov priors. International Journal of Tomography and Statistics 30 (2009), 3-32 preprint.

2008

  1. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Approximate quantum cloaking and almost trapped states. Physical Review Letters 101, 220404 (2008). preprint.
  2. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Isotropic transformation optics: approximate acoustic and quantum cloaking. New Journal of Physics 10 (2008) 115024 (28pp) article.
  3. K. Krupchyk, Y. Kurylev, M. Lassas: Inverse spectral problems on a closed manifold. Journal de Mathematique Pures et Appliquees 90 (2008), Issue 1, 42-59. preprint, article.
  4. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Electromagnetic wormholes via handlebody constructions. Communications in Mathematical Physics 281 (2008), 369-385. article, preprint.
  5. M. Lassas, L. Paivarinta, E. Saksman: Inverse scattering problem for a two dimensional random potential. Communications in Mathematical Physics 279 (2008), 669-703. preprint , article.
  6. V. Kolehmainen, M. Lassas, S. Siltanen: Limited data X-ray tomography using nonlinear evolution equations. The SIAM Journal on Scientific Computing 30 (2008), 1413-1429. preprint, article
  7. V. Kolehmainen, M. Lassas, P. Ola: Electrical Impedance Tomography Problem with Inaccurately Known Boundary and Contact Impedances. IEEE Transactions on Medical Imaging. 27 (2008), 1404-1414. article.
  8. K. Bingham, Y. Kurylev, M. Lassas, S. Siltanen: Iterative time reversal control for inverse problems. Inverse Problems and Imaging 2 (2008), 63-81. pdf.
  9. T. Helin, M. Lassas: Bayesian signal restoration and Mumford-Shah functional, Proc. Appl. Math. Mech. 7 (2008), 2080013-2080014. Special issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) article
  10. K. Knudsen, M. Lassas, J. Mueller, S. Siltanen: Reconstructions of Piecewise Constant Conductivities by the D-bar Method for Electrical Impedance Tomography. Journal of Physics: Conference Series 124 (2008), 012029 (9pp). Proceedings of AIP 2007 First International Congress of IPIA. article
  11. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Inverse problems, invisibility, and artificial wormholes. Journal of Physics: Conference Series 124 (2008), 012005 (23pp) Proceedings of AIP 2007 First International Congress of IPIA. article

2007

  1. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Improvement of cylindrical cloaking with the SHS lining. Optics Express 15 (2007), 12717-12734. preprint, article.
  2. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Electromagnetic wormholes and virtual magnetic monopoles from metamaterials. Physical Review Letters 99, 183901 (2007) preprint, article in PRL. The copy of the article has appeared also in Virtual Journal of Nanoscale Science and Technology 16 (2007), Issue 20, article in VJNST.
  3. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Full-wave invisibility of active devices at all frequencies. Communications in Mathematical Physics 275 (2007), 749-789. preprint.
  4. V. Kolehmainen, M. Lassas, P. Ola: The inverse conductivity problem with an imperfectly known boundary in three dimensions. SIAM Journal on Applied Mathematics 67 (2007), 1440-1452. preprint.
  5. V. Kolehmainen, A. Vanne, S., S. Jarvenpaa, J. Kaipio, M. Lassas, M. Kalke: Bayesian Inversion Method for 3-D Dental X-ray Imaging. Elektrotechnik und Informationstechnik (124) 2007, 248-253. preprint.
  6. M. Lassas, J. Mueller, S. Siltanen: Mapping properties of the nonlinear Fourier transform in dimension two. Communications in Partial Differential Equations 32 (2007), 591-610. pdf
  7. K. Knudsen, J. Mueller, M. Lassas, S. Siltanen: D-bar method for Electrical Impedance Tomography with discontinuous coefficients. SIAM Journal on Applied Mathematics 67 (2007), 893-913. pdf
  8. A. Katsuda, Y. Kurylev, M. Lassas: Stability of boundary distance representation and reconstruction of Riemannian manifolds, Inverse Problems and Imaging 1 (2007), 135-157. pdf
  9. V. Kolehmainen, M. Lassas, Petri Ola: Calderon's inverse problem with an imperfectly known boundary in two and three dimensions, Proceedings of Inverse Problems in Applied Sciences, Hokkaido 2006. Journal of Physics: Conference Series 73 (2007), 012002, 10 pp., Institute of Physics Electronic Journals.

2006

  1. Y. Kurylev, M. Lassas, E. Somersalo: Maxwell's equations with a polarization independent wave velocity: Direct and inverse problems, Journal de Mathematique Pures et Appliquees 86 (2006), no. 3, 237-270. pdf
  2. Y. Kurylev, M. Lassas: Multidimensional Gel'fand Inverse Boundary Spectral Problem: Uniqueness and Stability, CUBO Mathematical Journal 8 (2006), no. 1, 41-59. pdf
  3. H. Isozaki, Y. Kurylev, M. Lassas: Inverse Scattering for Waveguides. Seminaire de Theorie Spectrale et Geometrie, 25 (2006-2007), 71-84.
  4. V. Kolehmainen, A. Vanne, S. Siltanen, S. Jarvenpaa. J. Kaipio, M. Lassas, M. Kalke : Parallelized Bayesian inversion for three dimensional dental x-ray imaging. IEEE Transactions on Medical Imaging 25 (2006), 218-228. preprint.
  5. M. Rantala, S. Vanska, S. Jarvenpaa, M. Kalke, M. Lassas, J. Moberg, S. Siltanen: Wavelet-based reconstruction for limited angle X-ray tomography. IEEE Transactions on Medical Imaging 25 (2006), 210-217. preprint.
  6. V. Kolehmainen, M. Lassas, Petri Ola: Electrical impedance tomography problem with inaccurately known boundary and contact impedances. Proceedings of ISBI 2006: IEEE 2006 International Symposium on Biomedical Imaging. Biomedical Imaging: Nano to Macro, 2006. 3rd IEEE International Symposium (2006), p. 1124- 1127.

2005

  1. V. Kolehmainen, M. Lassas, P. Ola: Inverse conductivity problem with an imperfectly known boundary, SIAM Journal on Applied Mathematics 21 (2005), 365-383. pdf
  2. Y. Kurylev, M. Lassas, R. Weder: Multidimensional Borg-Levinson theorem, Inverse Problems 21 (2005), 1685-1697. pdf
  3. K. Astala, M. Lassas, L. Paivarinta: Calderon's inverse problem for anisotropic conductivity in the plane, Communications in Partial Differential Equations 30 (2005), no. 1-3, 207-224. preprint
  4. Y. Kyrylev, M. Lassas: A dynamical inverse problem for Dirac equation, Seminar Notes of Mathmatical Sciences 8 (2005), 35-44, special issue on Topics related with mathmatical physics and their analytical methods (Ed. Hideo Soga) Ibaraki University, Japan.

2004

  1. M. Anderson, A. Katsuda, Y. Kurylev, M. Lassas, M. Taylor: Boundary regularity for the Ricci equation, Geometric Convergence, and Gel'fand's Inverse Boundary Problem, Inventiones Mathematicae 158 (2004), 261-321 preprint
  2. M. Lassas, S. Siltanen: Can one use total variation prior for edge preserving Bayesian inversion, Inverse Problems 20 (2004), 1537-1564. pdf
  3. A. Katchalov, Y. Kurylev, M. Lassas, N. Mandache: Equivalence of time-domain inverse problems and boundary spectral problem, Inverse problems 20 (2004), 419-436. preprint
  4. Y. Kurylev, M. Lassas, E. Somersalo: Focusing waves in electromagnetic inverse problems, Contemporary Mathematics. 348 (2004) (Inverse problems and spectral theory), 11-22, Amer. Math. Soc. pdf ps
  5. M. Lassas, L. Paivarinta, E. Saksman: Inverse problem for a random potential, Contemporary Mathematics. 362 (2004) (Partial Differential Equations, Inverse Problems, and Non-Linear Analysis at Santiago de Chile 2003), 277-288, Amer. Math. Soc. pdf ps

2003

  1. A. Greenleaf, M. Lassas, G. Uhlmann: On nonuniqueness for Calderon's inverse problem, Mathematical Research Letters 10 (2003), no. 5-6, 685-693. pdf ps
  2. M. Lassas, V. Sharafutdinov, G. Uhlmann: Semiglobal boundary rigidity for Riemannian metric, Mathematische Annalen 325 (2003), no. 4, 767-793. pdf ps
  3. A. Greenleaf, M. Lassas, G. Uhlmann:The Calderon problem for conormal potentials, I: Global uniqueness and reconstruction, Communications on Pure and Applied Mathematics 56 (2003), no. 3, 328-352. pdf ps
  4. S. Siltanen, V. Kolehmainen, S. Jarvenpaa, J. Kaipio, P. Koistinen, M. Lassas , J. Pirttila, E. Somersalo: Statistical inversion for X-ray tomography with few radiographs I: General theory. Physics in Medicine and Biology 48 (2003) 1437-1463. pdf
  5. V. Kolehmainen, S. Siltanen, S. Jarvenpaa, J. Kaipio, P. Koistinen, M. Lassas, J. Pirttila, E. Somersalo: Statistical inversion for X-ray tomography with few radiographs II: Applications to dental radiology, Physics in Medicine and Biology 48 (2003) 1465-1490. pdf
  6. M. Anderson, A. Katsuda, Y. Kurylev, M. Lassas, M. Taylor: Metric tensor estimates, geometric convergence, and inverse boundary problems, Electronic Research Announcements of AMS. 9 (2003), 69-79. pdf ps
  7. M. Lassas, M. Taylor, G. Uhlmann: The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary, Communications in Analysis and Geometry 11 (2003), 207-222. pdf ps
  8. A. Greenleaf, M. Lassas, G. Uhlmann: Anisotropic conductivities that cannot detected in EIT. Physiological Measurement (special issue on Impedance Tomography), 24 (2003), pp. 413-420. pdf ps
  9. A. Katchalov, Y. Kurylev, M. Lassas Energy measurements and equivalence of boundary data for inverse problems on non-compact manifolds. IMA volumes in Mathematics and Applications (Springer Verlag) "Geometric Methods in Inverse Problems and PDE Control" Ed. C. Croke, I. Lasiecka, G. Uhlmann, M. Vogelius, 2004, pp. 183-214. pdf
  10. A. Katsuda, Y. Kurylev, M. Lassas: Stability and Reconstruction in Gel'fand Inverse Boundary Spectral Problem. New analytic and geometric methods in inverse problems. (Ed. K. Bingham, Y. Kurylev, and E. Somersalo), 309-320, Springer-Verlag, 2003. preprint
  11. A. Katchalov, M. Lassas: Gaussian beams and inverse boundary spectral problems, New analytic and geometric methods in inverse problems. (Ed. K. Bingham, Y. Kurylev, and E. Somersalo), 127-151, Springer-Verlag, 2003. pdf ps
  12. Y. Kurylev, M. Lassas, E. Somersalo: Reconstruction of a manifold-from electromagnetic boundary measurements. Contemporary Mathematics. 333 (2003), (Inverse Problems: Theory and Applications. Ed. G. Alessandrini, G. Uhlmann), 147-162, Amer. Math. Soc.

2002

  1. Y. Kurylev, M. Lassas: Dynamical inverse problem for a hyperbolic equation and continuation of data, Proceedings of the Royal Society of Edinburgh. Sect. A. Mathematics 132 (2002), no 4, 931-949. pdf ps
  2. M. Lassas, M. Mataich, S. Siltanen, E. Somersalo: Wind velocity observation with a CW Doppler radar, IEEE Transactions on Remote Sensing 40 (2002), 2427-2438. pdf
  3. M. Cheney, D. Isaacson, M. Lassas : Optimal Acoustic Measurements, Ultrawideband Short-Pulse Electromagnetics 5. (Ed. by P.D. Smith and S.R. Cloude), 599-603, Springer-Verlag, 2002. pdf

2001

  1. M. Cheney, D. Isaacson, M. Lassas: Optimal acoustic measurements, SIAM Journal on Applied Mathematics 61 (2001), 1628-1647. pdf ps
  2. M. Lassas, J. Liukkonen, E. Somersalo: Complex Riemannian metric and absorbing boundary condition, Journal de Mathematique Pures et Appliquees (9) 80 (2001), no. 7, 739-768. pdf ps
  3. M. Lassas, E. Somersalo: Analysis of the PML equations in general convex geometry. Proceedings of the Royal Society of Edinburgh. Sect. A. Mathematics 131 (2001), no. 5, 1183-1207 pdf ps
  4. M. Lassas, G. Uhlmann: Determining Riemannian manifold from boundary measurements. Annales Scientifiques de l'Ecole Normale Superieure. (4) 34 (2001), no. 5, 771-787. pdf ps

2000

  1. Y. Kurylev, M. Lassas: Gelf'and Inverse Problem for a Quadratic Operator Pensil. Journal of Functional Analysis, 176 (2000), 247-263. pdf ps
  2. Y. Kyrylev, M. Lassas: Hyperbolic inverse problem with data on a part of the boundary. AMS/IP Stud. Adv. Math. 16 (2000), 259-272, Amer. Math. Soc., Proceedings of Differential equations and mathematical physics (Birmingham, AL, 1999) pdf ps

1999

  1. M. Lassas: The inverse boundary spectral problem for a hyperbolic equation with first order perturbation. Applicable Analysis 70 (1999), 219-231. pdf ps

1998

  1. Y. Kurylev, M. Lassas: Abel-Lidskii basis in non-selfadjoint inverse boundary problem. Zap. Nauchn. semin. POMI, 250 (1998), 161-191 and Mat. Vopr. Teor. Rasprostr. 27, 161-190; Translation in Journal of Mathematical Sciences (New York) 102 (2000), no. 4, 4237-4257.
  2. M. Lassas: Inverse boundary spectral problem for non-selfadjoint Maxwell's equations with incomplete data. Communications in Partial Differential Equations 23 (1998), 629-648.
  3. M. Lassas: The essential spectrum of non-selfadjoint Maxwell operator in a bounded domain. Journal of Mathematical Analysis and Applications 224 (1998), 201-217.
  4. M. Lassas, M. Cheney, G. Uhlmann: Uniqueness for a wave propagation inverse problem in a halfspace. Inverse Problems 4 (1998), 679-684. pdf ps
  5. M. Lassas, E. Somersalo: On the existence and the convergence of the solution of the PML equations. Computing 60 (1998), 229-241 pdf ps

1997

  1. Y. Kurylev, M. Lassas: The multidimensional Gel'fand inverse problem for non-selfadjoint operators. Inverse Problems 13 (1997), 1495-1501.
  2. M. Lassas: Impedance imaging problem as a low frequency limit. Inverse Problems 13 (1997), 1503-1518

Patents

  1. US Patent US 20130096425 A1 - System and method for data reconstruction in soft-field tomography. K. Uutela, M. Lassas, P. Ola, S. Siltanen, V. Kolehmainen. April 18, 2013. Also published as CN 103099616 B.
  2. US Patent 7,269,241 - Method and arrangement for medical x-ray imaging and reconstruction from sparse data. S. Siltanen, E. Somersalo, V. Kolehmainen, M. Lassas, J. Kaipio. September 11, 2007. Also published as WO2004019782, AU2003255550, FI116750B, DE10393159T.
  3. US Patent 7,215,730 - Method and arrangement for multiresolutive reconstruction for medical x-ray imaging. M. Kalke, S. Siltanen, S. Vanska, M. Lassas, M. Rantala. May 8, 2007. Also published as EP1677256, JP2006187608.
  4. US Patent 7,274,766 - Method and arrangement for three-dimensional medical x-ray imaging J. Kaipio, S. Siltanen, M. Kalke, V. Kolehmainen, M. Lassas. September 25, 2007. Also published as EP1677255, JP2006187607.

Other works

  1. M. Lassas, R. Lehtinen, J. Saramaki, S. Siltanen (edit.): Who needs MATH? (in Finnish and in Swedish), a booklet popularizing mathemathics for schools students, three prints of 60 000 copies. pdf
  2. M. Lassas: From a coffee cup to surgery - studying applications of mathematics (In Finnish), Arkhimedes 5 (2004), 20-24. pdf
  3. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Invisibility. In Current Events Bulletin of American Mathematical Society. January 8, 2008 (San Diego, California), 22 pp. downloadable copy

 


Matti Lassas <Matti.Lassasathelsinki.fi>

 

 

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