Linked e-resources
Details
Table of Contents
Preface; Contents; Acronyms; Notation; 1 Introduction; 1.1 Motivation; 1.2 Positron Emission Tomography; 1.3 Gating of PET Data; 1.3.1 Respiratory Gating; 1.3.2 Cardiac Gating; 1.3.3 Dual Gating; 1.4 Partial Volume Effect and Mass-Preservation; 1.4.1 PVE: Tissue Fraction; 1.4.2 PVE: Spill-Over; 1.4.2.1 Positron Range; 1.4.2.2 Photon Non-collinearity; 1.4.2.3 Detector Width; 1.4.3 Mass-Preservation; 1.5 Introduction to Motion Correction; 1.5.1 Intrinsic vs. Extrinsic Methods; 1.5.1.1 Intrinsic Approaches; 1.5.1.2 Extrinsic Approaches; 1.5.1.3 Hybrid Approaches.
1.5.2 Image Registration vs. Optical Flow Methods1.5.3 Mass-Preserving Motion Estimation; 1.5.3.1 CT; 1.5.3.2 MRI; 1.5.3.3 SPECT; 1.5.3.4 PET; 1.5.4 Diffeomorphic Registration; 1.6 Visualization; 2 Motion Estimation; 2.1 Image Registration; 2.1.1 Data Terms; 2.1.2 Regularization; 2.1.2.1 Diffusion Regularization; 2.1.2.2 Elastic Regularization; 2.1.2.3 Hyperelastic Regularization; 2.1.2.4 Relations; 2.1.3 B-Spline Transformation; 2.1.3.1 Hyperelastic Regularization; 2.1.3.2 Coefficient-Based Regularization; 2.1.4 Mass-Preserving Image Registration; 2.1.5 Multi-level Optimization.
2.1.5.1 Gauss-Newton2.1.5.2 BFGS and l-BFGS; 2.1.5.3 Trust Region; 2.1.6 Results; 2.2 Optical Flow; 2.2.1 Lucas-Kanade Algorithm; 2.2.2 Horn-Schunck Algorithm; 2.2.3 Advanced Optical Flow Algorithms; 2.2.4 Mass-Preserving Optical Flow; 2.2.5 Multi-level Optimization; 2.2.6 Results; 2.3 Comparison and Evaluation; 2.3.1 Comparison; 2.3.2 Evaluation; 2.3.2.1 Software Phantom Data; 2.3.2.2 Patient Data; 3 Motion Correction; 3.1 Motion Correction Strategies; 3.1.1 Optimal Gating; 3.1.2 Averaging of Aligned Images; 3.1.3 Motion Compensated Re-reconstruction; 3.1.4 Event Rebinning.
3.1.5 Joint Reconstruction of Image and Motion3.2 Motion Correction Pipelines for Dual Gated PET; 3.2.1 Serial Pipeline; 3.2.2 Simplified Pipeline; 3.2.3 Simplified Pipeline with MCIRs; 3.2.4 Results; 4 Further Developments in PET Motion Correction; 4.1 Future Work of Vampire and MPOF; 4.1.1 Gating; 4.1.2 Spatial-Temporal Approach; 4.1.3 Dynamic PET; 4.2 Recent Developments in Gating; 4.3 Influence of Motion on PET Attenuation Correction; 4.4 Future Advances Using PET/MRI; 4.5 Motion Correction in Clinical Practice; References.
1.5.2 Image Registration vs. Optical Flow Methods1.5.3 Mass-Preserving Motion Estimation; 1.5.3.1 CT; 1.5.3.2 MRI; 1.5.3.3 SPECT; 1.5.3.4 PET; 1.5.4 Diffeomorphic Registration; 1.6 Visualization; 2 Motion Estimation; 2.1 Image Registration; 2.1.1 Data Terms; 2.1.2 Regularization; 2.1.2.1 Diffusion Regularization; 2.1.2.2 Elastic Regularization; 2.1.2.3 Hyperelastic Regularization; 2.1.2.4 Relations; 2.1.3 B-Spline Transformation; 2.1.3.1 Hyperelastic Regularization; 2.1.3.2 Coefficient-Based Regularization; 2.1.4 Mass-Preserving Image Registration; 2.1.5 Multi-level Optimization.
2.1.5.1 Gauss-Newton2.1.5.2 BFGS and l-BFGS; 2.1.5.3 Trust Region; 2.1.6 Results; 2.2 Optical Flow; 2.2.1 Lucas-Kanade Algorithm; 2.2.2 Horn-Schunck Algorithm; 2.2.3 Advanced Optical Flow Algorithms; 2.2.4 Mass-Preserving Optical Flow; 2.2.5 Multi-level Optimization; 2.2.6 Results; 2.3 Comparison and Evaluation; 2.3.1 Comparison; 2.3.2 Evaluation; 2.3.2.1 Software Phantom Data; 2.3.2.2 Patient Data; 3 Motion Correction; 3.1 Motion Correction Strategies; 3.1.1 Optimal Gating; 3.1.2 Averaging of Aligned Images; 3.1.3 Motion Compensated Re-reconstruction; 3.1.4 Event Rebinning.
3.1.5 Joint Reconstruction of Image and Motion3.2 Motion Correction Pipelines for Dual Gated PET; 3.2.1 Serial Pipeline; 3.2.2 Simplified Pipeline; 3.2.3 Simplified Pipeline with MCIRs; 3.2.4 Results; 4 Further Developments in PET Motion Correction; 4.1 Future Work of Vampire and MPOF; 4.1.1 Gating; 4.1.2 Spatial-Temporal Approach; 4.1.3 Dynamic PET; 4.2 Recent Developments in Gating; 4.3 Influence of Motion on PET Attenuation Correction; 4.4 Future Advances Using PET/MRI; 4.5 Motion Correction in Clinical Practice; References.