On finite element method for magnetic resonance imaging
Paper in proceeding, 2018
In this work we consider the problem of magnetic resonance imaging (MRI). We propose and formulate a finite element method to handle this problem and present an adaptive algorithm for local mesh refinements. Reconstructions from experimental MR data are shown and used to compare different interpolation techniques.
Experimental data
Finite element method
Interpolation
Magnetic resonance imaging
Adaptivity
Tikhonov functional
Author
Larisa Beilina
Chalmers, Mathematical Sciences, Applied Mathematics and Statistics
G. Guillot
Imagerie par Resonance Magnetique Medicale et Multi-Modalites
K. Niinimäki
Imagerie par Resonance Magnetique Medicale et Multi-Modalites
Springer Proceedings in Mathematics and Statistics
21941009 (ISSN) 21941017 (eISSN)
Vol. 243 119-132978-331994059-5 (ISBN)
38th Progress in Electromagnetics Research Symposium, PIERS 2017
St. Petersburg, Russia,
St. Petersburg, Russia,
Subject Categories
Applied Mechanics
Computational Mathematics
Computer Vision and Robotics (Autonomous Systems)
DOI
10.1007/978-3-319-94060-1_9