5 citations · 13 across the 9 of their papers we have counts for
9 papers
Mathematical framework for perception-driven parameter choice in image denoising
Saara Isoranta, Emilia L. K. Blåsten, Lílian Ferreira de Freitas +3
We approach image denoising from a perception-driven perspective: how can we select the parameters that are best suited for human visual perception? We combine research methods in…
Statistical comparison of reconstruction methods for the inverse boundary problem of the one-dimensional wave equation
Samuel Agenorwoth, Emilia Blåsten
Several numerical reconstruction algorithms for the inverse boundary value problem of the 1-dimensional wave equation exist. In this paper we revisit two of them, the Sondhi-Gopina…
Recovering a (1+1)-dimensional wave equation from a single white noise boundary measurement
Emilia L. K. Blåsten, Tapio Helin, Antti Kujanpää +2
We consider the following inverse problem: Suppose a -dimensional wave equation on with zero initial conditions is excited with a Neumann boundary data modell…
The Fourier, Hilbert and Mellin transforms on a half-line
Emilia L. K. Blåsten, Lassi Päivärinta, Sadia Sadique
We are interested in the singular behaviour at the origin of solutions to the equation on a half-axis, where is the one-sided Hilbert transform, …
Cones with convoluted geometry that always scatter or radiate
Emilia Blåsten, Valter Pohjola
We investigate fixed energy scattering from conical potentials having an irregular cross-section. The incident wave can be any arbitrary non-trivial Herglotz wave. We show that a l…
Inverse problems for discrete heat equations and random walks for a class of graphs
Emilia Blåsten, Hiroshi Isozaki, Matti Lassas +1
We study the inverse problem of determining a finite weighted graph from the source-to-solution map on a vertex subset for heat equations on graphs, where the…
Localization and geometrization in plasmon resonances and geometric structures of Neumann-Poincaré eigenfunctions
Eemeli Blasten, Hongjie Li, Hongyu Liu +1
This paper reports some novel and intriguing discoveries about the localization and geometrization phenomenon in plasmon resonances and the intrinsic geometric structures of Neuman…
Recovering piecewise constant refractive indices by a single far-field pattern
Emilia Blåsten, Hongyu Liu
We are concerned with the inverse scattering problem of recovering an inhomogeneous medium by the associated acoustic wave measurement. We prove that under certain assumptions, a s…
Uniqueness for the inverse boundary value problem with singular potentials in 2D
Eemeli Blåsten, Leo Tzou, Jenn-Nan Wang
In this paper we consider the inverse boundary value problem for the Schrödinger equation with potential in class, . We show that the potential is uniquely determined…