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Finnish PhD Theses on Inverse Problems

2023

• Jalo Nousiainen: Model-based reinforcement learning and inverse problems in extreme adaptive optics control. LUT University

2022

• Miracle Amadi: Hybrid modelling methods for epidemiological studies. LUT University
• Matti Hanhela: Image reconstruction in dynamic and quantitative MRI using undersampled data. University of Eastern Finland
• Jyrki Jauhiainen: Non-smooth optimization and regularization for electrical impedance tomography. University of Eastern Finland
• Antti Kujanpää: Inverse Problems with Microlocal Observations. University of Helsinki
• Lauri Ylinen: Inverse Problems and Dynamical Systems in Tomography and Optics. University of Helsinki

2021

• Valentina Candiani: Computational approaches in electrical impedance tomography with applications to head imaging. Aalto University
• Juuso Ketola: Image reconstruction and machine learning approaches for enhanced medical imaging: cases in computed tomography and magnetic resonance imaging. University of Oulu
• Jussi Korpela: Regularization strategy and focusing energy with a wave equation for an inverse problem. University of Helsinki
• Matti Kortelainen: Studies on accuracy and reliability of gated myocardial perfusion SPECT. University of Eastern Finland
• Liisa-Ida Sorsa: Full-Wave Radar Tomography of Complex, High-Contrast Targets: Imaging the Interior Structure of a Small Solar System Body. Tampere University
• Sebastian Springer: Bayesian inference by informative Gaussian features of the data. Lappeenranta-Lahti University of Technology LUT
• Ville-Veikko Wettenhovi: Image reconstruction in functional MRI and PET. University of Eastern Finland
• Matti Kortelainen: Studies on accuracy and reliability of gated myocardial perfusion SPECT. University of Eastern Finland

2020

• Alexey Kazarnikov: Statistical parameter identification of reaction-diffusion systems by Turing patterns. Lappeenranta-Lahti University of Technology LUT
• Giovanni Covi: Uniqueness results for fractional Calderón problems. University of Jyväskylä
• Vladimir Shemyakin: Parameter estimation of large scale-scale chaotic systems. Lappeenranta-Lahti University of Technology LUT
• Otto Lamminpää: Dimension reduction approaches for atmospheric remote sensing of greenhouse gases. University of Helsinki
• Matti Niskanen: Bayesian inversion methods for acoustical characterisation of poroviscoelastic media. University of Eastern Finland
• Johannes Norberg: Bayesian approach to ionospheric imaging with Gaussian Markov random field priors. University of Helsinki
• Antti Voss: Imaging moisture flows in cement-based materials using electrical capacitance tomography. University of Eastern Finland
• Kenneth Muhumuza: Computational methods for seismic imaging and monitoring. University of Eastern Finland

2019

• Jesse Railo: Geodesic Tomography Problems on Riemannian Manifold. University of Jyväskylä
• Anna Shcherbacheva: Agent-based modelling for epidemiological applications. Lappeenranta-Lahti University of Technology LUT
• Jouni Susiluoto: Applications of Bayesian computational statistics and modeling to large-scale geoscientific problems. University of Helsinki
• Jenni Tick: Image reconstruction and modelling of uncertainties in photoacoustic tomography. University of Eastern Finland

2018

• Markku Åkerblom: Quantitative Tree Reconstruction from Terrestrial Laser Scanning Data and Applications. Tampere University of Technology
• Hari Nortunen: Light, Shape and Space: Direct and Inverse Problems of Individual Objects and Populations. Tampere University of Technology
• Zenith Purisha: Novel Algorithms in X-ray Computed Tomography Imaging from Under-sampled Data. University of Helsinki
• Teemu Tyni: Direct and inverse scattering problems for perturbations of the biharmonic operator. University of Oulu
• Petri Varvia: Uncertainty quantification in remote sensing of forests. University of Eastern Finland

2017

• Alexander Bibov: Low-memory filtering for large-scale data assimilation. Lappeenranta University of Technology
• Gerardo González: Edge-promoting priors in electrical impedance tomography. University of Eastern Finland
• Andreas Hauptmann: Advances in D-bar methods for partial boundary data electrical impedance tomography: From continuum to electrode models and back. University of Helsinki
• Vesa Kaarnioja: On sparse tensor structures in lattice theory and applications of the polynomial collocation method based on sparse grids. Aalto University
• Urpo Kyllönen: On the spectral theory of elliptic differential operators with singular coefficients. University of Oulu
• Jere Lehtonen: Injectivity results for the geodesic ray transform. University of Jyväskylä
• Lauri Mustonen: Approximations and Surrogates for Computational Inverse Boundary Value Problems. Aalto University
• Teemu Saksala: Reconstruction of Riemannian manifold from boundary and interior data. University of Helsinki
• Aki Tsuruta: Application of the Ensemble Kalman filter in the estimation of global methane balance. University of Helsinki

2016

• Tommi Brander: Calderón's problem for p-Laplace type equations. University of Jyväskylä
• Hanne Kekkonen: Convergence Rates and Uncertainty Quantification for Inverse Problems. University of Helsinki
• Helle Majander: Efficient reconstruction algorithms for three-dimensional tomographic imaging. Aalto University
• Jussi Toivanen: Thermal Tomography.University of Eastern Finland
• Simo Tukiainen: On the retrieval of atmospheric profiles. University of Helsinki

2015

• Georgios Fotopoulos: Inverse scattering problems for the nonlinear Schrödinger operator in one and two dimensions. University of Oulu
• Dong Liu: Non-linear Difference Imaging Approach to Electrical Impedance Tomography. University of Eastern Finland
• Meghdoot Mozumder: Image reconstruction with error modelling in diffuse optical tomography. University of Eastern Finland
• Esa Niemi: Numerical solution of limited-data inverse problems arising from X-ray tomography and acoustic inverse scattering. University of Helsinki
• Lassi Roininen: Discretisation-invariant and computationally efficient correlation priors for Bayesian inversion. University of Oulu

2014

• Joonas Ilmavirta: On the broken ray transform. University of Jyväskylä
• Martti Kalke: Image processing methods for limited angle tomography and sparse angle tomography. University of Helsinki
• Tuomas Koivumäki: The Bioimpedance Technique in Respiratory- and Dual-Gated Positron Emission Tomography Imaging,University of Eastern Finland
• Jari Kourunen: Imaging of mixing in selected industrial processes using electrical resistance tomography. University of Eastern Finland
• Ossi Lehtikangas: Approximations and Hybrid Models for Modeling Light Propagation in Biological Tissues. University of Eastern Finland
• Antti Lipponen: Nonstationary flow fields, model reduction and approximation errors in process tomography. University of Eastern Finland
• Isambi Mbalawata: Adaptive Markov chain Monte Carlo and Bayesian filtering for state space models. Lappeenranta University of Technology
• Gasper Godson Mwanga: Mathematical modeling and optimal control of malaria. Lappeenranta University of Technology
• Valter Pohjola: Inverse boundary problems involving the magnetic Schrödinger operator. University of Helsinki
• Aki Pulkkinen: Simulation Methods in Transcranial Ultrasound Therapy. University of Eastern Finland
• Denis Semyonov: Computational studies for the design of process equipment with complex geometries. Lappeenranta University of Technology
• Stratos Staboulis: Boundary shape analysis of electrical impedance tomography with applications. Aalto University
• Janne Tamminen: Computational studies on direct reconstruction methods in tomographic imaging. University of Helsinki
• Esa Vesalainen: On Non-Scattering Energies. University of Helsinki

2013

• Eemeli Blåsten: On the Gel'fand-Calderón inverse problem in two dimensions. University of Helsinki
• Janne Hakkarainen: On state and parameter estimation in chaotic systems. Lappeenranta University of Technology
• Lauri Harhanen: Inverse Source Methods in Diffuse Imaging Aalto University
• Anna Kaasinen: Optimal Control in Process Tomography. University of Eastern Finland
• Kimmo Karhunen: Electrical Resistance Tomography Imaging of Concrete. University of Eastern Finland
• Teemu Luostari: Non-polynomial approximation methods in acoustics and elasticity. University of Eastern Finland
• Kati Niinimäki: Computational optimization methods for large-scale inverse problems. University of Eastern Finland
• Otto Seiskari: Analyticity of point measurements in inverse conductivity and scattering problems. Aalto University

2012

• Anssi Lehikoinen: Modeling Uncertainties in Process Tomography and Hydrogeophysics. University of Eastern Finland
• Ville Rimpiläinen: Electrical tomography imaging in pharmaceutical processes. University of Eastern Finland
• Juha Vierinen: On statistical theory of radar measurements. Aalto University

2011

• Virpi Junttila: Automated, adaptive methods for forest inventory. Lappeenranta University of Technology
• Hanna Kiili: Transmission problem for the electromagnetic scattering by a chiral obstacle. University of Oulu
• Teemu Laakso: Embracing Integrability in Stellar and Planetary Dynamics. University of Helsinki
• Antti Nissinen: Modelling Errors in Electrical Impedance Tomography. University of Eastern Finland
• Lauri Oksanen: Inverse problem for the wave equation : partial data and novel boundary sources. University of Helsinki
• Antti Solonen: Bayesian Methods for Estimation, Optimization and Experimental Design. Lappeenranta University of Technology

2010

• Tapio Helin: Discretization and Bayesian Modeling in Inverse Problems and Imaging. TKK
• Timo Lähivaara: Discontinuous Galerkin Method for Time-Domain Wave Problems. University of Eastern Finland
• Markus Harju: On the direct and inverse scattering problems for a nonlinear three-dimensional Schrödinger equation. University of Oulu

2009

• Ilkka Virtanen: Multi-purpose methods for ionospheric radar measurements. University of Oulu
• Harri Auvinen: Inversion and Assimilation methods with applications in Geophysical Remote Sensing. Lappeenranta University of Technology
• Barbara D'Ambrogi-Ola: Inverse Problem for Fractional Brownian Motion with Discrete Data. University of Helsinki and University of Oulu

2008

• Sampsa Pursiainen: Computational methods in electromagnetic biomedical inverse problems. TKK
• Ruth Kaila: The integrated volatility implied by option prices, a Bayesian approach. TKK
• Tuomo Savolainen: Modular, adaptive electrical impedance tomography measurement system. University of Kuopio
• Janne Huttunen: Approximation and Modelling Errors in Nonstationary Inverse Problems. University of Kuopio
• Marko Laine: Adaptive MCMC methods with applications in environmental and geophysical models. Lappeenranta University of Technology

2007

• Matias Dahl: GeometricProperties of Electromagnetic Waves. TKK
• Olli-Pekka Tossavainen: Shape estimation in electrical impedance tomography. University of Kuopio
• Eeva Boman: Radiotherapy forward and inverse problem applying Boltzmann transport equation. University of Kuopio
• Olga Shipilova: "Particle Transport Method for Convection-Diffusion-Reaction Problems. Lappeenranta University of Technology

2006

• Simopekka Vänskä: Direct and Inverse Scattering for Beltrami Fields. University of Helsinki
• Tanja Tarvainen: Computational Methods for Light Transport in Optical Tomography. University of Kuopio

2005

• Kenrick Bingham: The Blagoveščenskiĭ Identity and the Inverse Scattering Problem. TKK
• Jenni Heino: Approaches for Modelling and Reconstruction in Optical Tomography in the Presence of Anisotropies. TKK
• Hanna Pikkarainen: A Mathematical Model for Electrical Impedance Process Tomography. TKK
• Viktoria Sofieva: Inverse Problems in Stellar Occultation. TKK
• Petteri Piiroinen: Statistical measurements, Experiments and Applications. University of Helsinki
• Lasse Heikkinen: Statistical estimation methods for electrical impedance tomography. University of Kuopio
• Matti Malinen: Computational methods for optimal control in ultrasound therapy. University of Kuopio
• Aku Seppänen: State estimation in process tomography. University of Kuopio

2004

• Nuutti Hyvönen: Diffusive Tomography Methods: Special Boundary Conditions and Characterization of Inclusions. TKK
• Tomi Huttunen: The ultraweak variational formulation for ultrasound transmission problems. University of Kuopio
• Mikko Salo: Inverse problems for nonsmooth first order perturbations of the Laplacian. University of Helsinki
• Johanna Tamminen: Adaptive Markov Chain Monte Carlo Algorithms with Geophysical Applications. University of Helsinki
• Päivi Vauhkonen: Image reconstruction in three-dimensional electrical impedance tomography. University of Kuopio

2002

• Sari Lasanen: Discretizations of generalized random variables with applications to inverse problems. University of Oulu
• Mikko Orispää: Point Sources and Near Field Measurements in Inverse Acoustic Scattering Problem. University of Oulu
• Noriyuki Takano: Reduction of ECG leads and equivalent source using orthogonalization and clustering techniques. Tampere University of Technology

2001

• Seppo Järvenpää: Implementation of PML Absorbing Boundary Condition for Solving Maxwell's Equations with Whitney Elements. University of Helsinki
• Jukka Liukkonen: Data Reduction and Domain Truncation in Electromagnetic Obstacle Scattering. TKK
• Ville Kolehmainen: Novel approaches to image reconstruction in diffusion tomography. University of Kuopio
• Arto Voutilainen: Statistical inversion methods for the estimation of aerosol size distributions. University of Kuopio

2000

• Katja Pesola: Cardiomagnetic source imaging. TKK

1900's

• Samuli Siltanen: Electrical impedance tomography and Faddeev Green's functions. TKK, 1999
• Pasi Ylä-Oijala: Multipacting analysis and electromagnetic field computation by the boundary integral equation method in RF cavities and waveguides. University of Helsinki, 1999
• Markku Malmivuori: Electric and magnetic Green's functions for a smoothly layered medium. University of Helsinki, 1998
• Marko Vauhkonen: Electrical impedance tomography and prior information. University of Kuopio, 1997
• Matti Lassas: Non-selfadjoint inverse spectral problems and their applications to random bodies. University of Helsinki, 1995
• Eino Sarkola: A unified approach to direct and inverse scattering for acoustic and electromagnetic waves. University of Helsinki, 1995
• Jukka Nenonen: Magnetocardiographic functional localization. TKK, 1992
• Matti Hämäläinen: Interpretation of neuromagnetic measurements: modeling and statistical considerations. TKK, 1987
• Erkki Somersalo: One-Dimensional Electromagnetic Reflection Problem. University of Helsinki, 1986
• Risto Ilmoniemi: Neuromagnetism: Theory, techniques, and measurements. TKK, 1985