On finite element method for magnetic resonance imaging

• 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.

Ämnesord

TEKNIK OCH TEKNOLOGIER  -- Maskinteknik -- Teknisk mekanik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Mechanical Engineering -- Applied Mechanics (hsv//eng)

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

NATURVETENSKAP  -- Data- och informationsvetenskap -- Datorseende och robotik (hsv//swe)

NATURAL SCIENCES  -- Computer and Information Sciences -- Computer Vision and Robotics (hsv//eng)

Nyckelord

Experimental data

Finite element method

Interpolation

Magnetic resonance imaging

Adaptivity

Tikhonov functional

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