Reconstruction along a geodesic from sphere data in Finsler geometry and anisotropic elasticity
Year of publication
2025
Authors
de Hoop, Maarten V.; Ilmavirta, Joonas; Lassas, Matti
Abstract
Dix formulated the inverse problem of recovering an elastic body from the measurements of wave fronts of point sources. We geometrize this problem in the context of seismology, leading to the geometrical inverse problem of recovering a Finsler manifold from certain sphere data in a given open subset of the manifold. We solve this problem locally along any geodesic through the measurement set.
Show moreOrganizations and authors
University of Jyväskylä
Ilmavirta Joonas 
University of Helsinki
Lassas Matti
Publication type
Publication format
Article
Parent publication type
Journal
Article type
Original article
Audience
ScientificPeer-reviewed
Peer-ReviewedMINEDU's publication type classification code
A1 Journal article (refereed), original researchPublication channel information
Parent publication name
Publisher
Volume
196
Article number
103688
ISSN
Publication forum
Publication forum level
3
Open access
Open access in the publisher’s service
Yes
Open access of publication channel
Partially open publication channel
Self-archived
No
Other information
Fields of science
Mathematics
Keywords
[object Object],[object Object],[object Object]
Publication country
France
Internationality of the publisher
International
Language
English
International co-publication
Yes
Co-publication with a company
No
DOI
10.1016/j.matpur.2025.103688
The publication is included in the Ministry of Education and Culture’s Publication data collection
Yes