A conjugate-gradient approach to the parameter estimation problem of magnetic resonance advection imaging. Issue 8 (2nd August 2020)

• Record Type: Journal Article
• Authors: Hubmer, Simon; Neubauer, Andreas; Ramlau, Ronny; Voss, Henning U.
• Is Part Of: Inverse problems in science and engineering. Volume 28:Issue 8(2020)
• Page Start: 1154
• Page End: 1165
• Publication Date: 2020-08-02
• Subjects: Brain imaging -- MRI -- cerebral haemodynamics -- pulse wave velocity -- magnetic resonance advection imaging -- inverse problems -- space-time discretization -- regularization -- CGNE; 65M32 -- 68U10 -- 92C50; Engineering mathematics -- Periodicals; Inverse problems (Differential equations) -- Periodicals; 620.001515357
• DOI: 10.1080/17415977.2019.1708911
• Languages: English
• ISSNs: 1741-5977

Abstract

Abstract : We consider the inverse problem of estimating the spatially varying pulse wave velocity in blood vessels in the brain from dynamic MRI data, as it appears in the recently proposed imaging technique of Magnetic Resonance Advection Imaging (MRAI). The problem is formulated as a linear operator equation with a noisy operator and solved using a conjugate gradient-type approach. Numerical examples on experimental data show the usefulness and advantages of the developed algorithm in comparison to previously proposed methods.