Biomedical Engineering Reference
In-Depth Information
Chapter9
CombinedCorrectionand
ReconstructionMethods
Martin Benning
Institute for Computational and Applied Mathematics, University of Munster,
Munster, Germany
Thomas Kosters
European Institute for Molecular Imaging, University of Munster, Munster,
Germany
Frederic Lamare
Medical Research Council Clinical Sciences Centre, Imperial College London,
Hammersmith Campus, London, United Kingdom
9.1 Introduction :::::::::::::::::::::::::::::::::::::::::::::::::::::: 186
9.2 Parameter identication ::::::::::::::::::::::::::::::::::::::::: 187
9.2.1 Compartment modeling ::::::::::::::::::::::::::::::::: 187
9.2.2 4D methods incorporating linear parameter
identication ::::::::::::::::::::::::::::::::::::::::::::: 189
9.2.3 4D methods incorporating nonlinear parameter
identication ::::::::::::::::::::::::::::::::::::::::::::: 190
9.3 Combined reconstruction and motion correction :::::::::::::::: 192
9.3.1 The advantages of the list mode format ::::::::::::::::: 193
9.3.2 Motion correction during an iterative
reconstruction algorithm :::::::::::::::::::::::::::::::: 194
9.3.2.1 Approaches based on a rigid or ane motion
model ::::::::::::::::::::::::::::::::::::::::: 194
9.3.2.2 Approaches based on a non-rigid motion
model ::::::::::::::::::::::::::::::::::::::::: 196
9.4 Combination of parameter identification and
motion estimation :::::::::::::::::::::::::::::::::::::::::::::::: 198
References ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 200
185
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