Image Processing Reference
In-Depth Information
14
Analysis of Dynamic
Magnetic Resonance
Elastography Data
Armando Manduca
CONTENTS
14.1
Introduction ............................................................................................452
14.2
Elastic Properties of Soft Tissue............................................................453
14.3
MR Elasticity Imaging Techniques........................................................453
14.4
MRE .......................................................................................................454
14.5
Data Processing ......................................................................................457
14.5.1
Equations of Motion ...............................................................458
14.5.2
Shear Modulus and Mechanical
Frequency ...............................................................................459
14.5.3
Phase Gradient ........................................................................460
14.5.4
Local Frequency Estimation (LFE)........................................460
14.5.5
Direct Inversion ......................................................................461
14.5.6
Variational Method .................................................................462
14.5.7
Matched Filter.........................................................................462
14.5.8
Removing the Local Homogeneity
Assumption .............................................................................462
14.5.9
Finite Element Analysis..........................................................463
14.5.10
Anisotropic Inversions ............................................................463
14.5.11
Hyperelastic Parameter
Determination .........................................................................464
14.5.12
Signal-to-Noise Considerations ..............................................464
14.5.13
Phase Unwrapping ..................................................................465
14.5.14
Directional Filtering ...............................................................465
14.6
Results ....................................................................................................465
14.6.1
Phantom Object ......................................................................465
14.6.2
Animal Tissues .......................................................................467
14.6.3
Breast ......................................................................................468
14.6.4
Brain........................................................................................470
451
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