11 papers
Reconstruction of shear modulus inclusions in elastostatics via divergence-free localization
Henrik Garde, Nuutti Hyvönen, Valter Pohjola
We formulate an improved version of the monotonicity method for shape reconstruction in the inverse problem of linear elastostatics. We show that this method can reconstruct inclus…
Direct reconstruction for acoustic inverse Born scattering
Nuutti Hyvönen, Lisa Schätzle
We consider the inverse medium scattering problem for the Helmholtz equation in two dimensions, i.e., the task to recover a compactly supported penetrable two-dimensional scatterer…
Möbius-transformed trapezoidal rule for polynomial weights
Nuutti Hyvönen, Yuya Suzuki
This work studies numerical integration by the Möbius-transformed trapezoidal rule, which combines the classical trapezoidal rule with a change of variables induced by a Möbius t…
Projections for handling uncertainties and enabling domain truncation in diffuse optical tomography
Aada Hakula, Pauliina Hirvi, Nuutti Hyvönen +2
This paper presents a projection-based technique to mitigate the impact of modeling errors related to domain truncation, changes in the optode coupling coefficients, and misspecifi…
A bilinear inverse problem with forward operator inaccuracy applied to neonatal atlas-based diffuse optical tomography
Aada Hakula, Pauliina Hirvi, Nuutti Hyvönen
Linear inverse problems are highly common in practical real-world applications from industry to medical imaging. The forward operator is often built on some approximations of the s…
Local electrical impedance tomography via projections
A. Jääskeläinen, A. Vavilov, J. Toivanen +3
This paper introduces a method for approximately eliminating the effect that conductivity changes outside the region of interest have in electrical impedance tomography, allowing t…