The finite element method and balancing principle for magnetic resonance imaging
Paper i proceeding, 2020
This work considers a finite element method in combination with balancing principle for a posteriori choice of the regularization parameter for image reconstruction problem appearing in magnetic resonance imaging (MRI). The fixed point iterative algorithm is formulated and it’s performance is demonstrated on the image reconstruction from experimental MR data.
MRI
Regularization
Balancing principle
Finite element method
Fredholm integral equation of the first kind
Författare
Larisa Beilina
Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik
G. Guillot
Imagerie par Resonance Magnetique Medicale et Multi-Modalites
K. Niinimäki
Xray Division
Imagerie par Resonance Magnetique Medicale et Multi-Modalites
Springer Proceedings in Mathematics and Statistics
21941009 (ISSN) 21941017 (eISSN)
Vol. 328 127-142978-303048633-4 (ISBN)
Conference on Mathematical and Numerical Approaches for Multi-Wave Inverse Problems, CIRM 2019
Marseille, France,
Marseille, France,
Ämneskategorier
Radiologi och bildbehandling
Datorseende och robotik (autonoma system)
Medicinsk bildbehandling
DOI
10.1007/978-3-030-48634-1_9