The finite element method and balancing principle for magnetic resonance imaging
Paper in 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
Author
Larisa Beilina
Chalmers, Mathematical Sciences, Applied Mathematics and Statistics
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,
Subject Categories
Radiology, Nuclear Medicine and Medical Imaging
Computer Vision and Robotics (Autonomous Systems)
Medical Image Processing
DOI
10.1007/978-3-030-48634-1_9