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. 328 127-142
978-303048633-4 (ISBN)

Conference on Mathematical and Numerical Approaches for Multi-Wave Inverse Problems, CIRM 2019
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

More information

Latest update

8/28/2020