45 citations · 238 across the 51 of their papers we have counts for
6 papers · 1 filter
The elastic ray transform
Joonas Ilmavirta, Antti Kykkänen, Teemu Saksala
We introduce and study a new family of tensor tomography problems. At rank 2 it corresponds to linearization of travel time of elastic waves, measured for all polarizations. We pro…
X-ray tomography of one-forms with partial data
Joonas Ilmavirta, Keijo Mönkkönen
If the integrals of a one-form over all lines meeting a small open set vanish and the form is closed in this set, then the one-form is exact in the whole Euclidean space. We obtain…
Unique continuation of the normal operator of the X-ray transform and applications in geophysics
Joonas Ilmavirta, Keijo Mönkkönen
We show that the normal operator of the X-ray transform in , , has a unique continuation property in the class of compactly supported distributions. This imm…
Torus computed tomography
Joonas Ilmavirta, Olli Koskela, Jesse Railo
We present a new computed tomography (CT) method for inverting the Radon transform in 2D. The idea relies on the geometry of the flat torus, hence we call the new method Torus CT.…
Optimal recovery of a radiating source with multiple frequencies along one line
Tommi Brander, Joonas Ilmavirta, Petteri Piiroinen +1
We study an inverse problem where an unknown radiating source is observed with collimated detectors along a single line and the medium has a known attenuation. The research is moti…
Analysis and X-ray tomography
Joonas Ilmavirta
These are lecture notes for the course "Analysis and X-ray tomography". The course is a broad overview of various tools in analysis that can be used to study X-ray tomography. The…