| Notations |
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ix | |
| Preface |
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xiii | |
| Abbreviations |
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xvii | |
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1 Medical Imaging Modalities |
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1 | (24) |
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1.1 Magnetic Resonance Imaging |
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1 | (8) |
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3 | (1) |
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1.1.2 Dynamic Contrast-Enhanced MRI |
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4 | (1) |
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5 | (1) |
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6 | (1) |
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1.1.5 Magnetic Resonance Angiography |
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7 | (1) |
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1.1.6 Tagged MRI, MRS, and PWI |
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8 | (1) |
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9 | (1) |
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9 | (4) |
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10 | (1) |
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1.2.2 Contrast-Enhanced CT |
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10 | (1) |
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11 | (1) |
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11 | (1) |
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1.2.5 CT Imaging: Pros and Cons |
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12 | (1) |
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13 | (4) |
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1.4 Nuclear Medical Imaging (Nuclide Imaging) |
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17 | (4) |
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1.5 Bibliographic and Historical Notes |
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21 | (4) |
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2 From Images to Graphical Models |
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25 | (38) |
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2.1 Basics of Image Modeling |
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26 | (9) |
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2.1.1 Digital Images, Videos, and Region Maps |
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26 | (2) |
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28 | (1) |
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2.1.3 Probability Models of Images and Region Maps |
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29 | (2) |
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2.1.4 Optimal Statistical Inference |
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31 | (1) |
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2.1.5 Unessential Image Deviations |
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32 | (3) |
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2.2 Pixel/Voxel Interactions and Neighborhoods |
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35 | (9) |
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2.2.1 Markov Random Field (MRF) |
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37 | (3) |
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2.2.2 Basic Stochastic Modeling Scenarios |
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40 | (1) |
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2.2.3 Invariance to Unessential Deviations |
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41 | (1) |
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2.2.3.1 Multiple Second- and Higher-Order Interactions |
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42 | (1) |
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2.2.3.2 Contrast/Offset-Invariant MGRFs |
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43 | (1) |
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2.3 Exponential Families of Probability Distributions |
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44 | (6) |
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2.3.1 Learning an Exponential Family |
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48 | (2) |
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2.4 Appearance and Shape Modeling |
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50 | (5) |
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2.5 Bibliographic and Historical Notes |
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55 | (8) |
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2.5.1 Shape Modeling with Deformable Models |
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58 | (5) |
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3 IRF Models: Estimating Marginals |
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63 | (34) |
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3.1 Basic Independent Random Fields |
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63 | (2) |
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3.2 Supervised and Unsupervised Learning |
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65 | (3) |
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3.2.1 Parametric Versus Nonparametric Models |
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68 | (1) |
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3.3 Expectation-Maximization to Identify Mixtures |
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68 | (3) |
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3.4 Gaussian Linear Combinations Versus Mixtures |
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71 | (7) |
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3.4.1 Sequential Initialization of an LCG/LCDG Model |
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73 | (2) |
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3.4.2 Refinement of an LCG/LCDG Model |
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75 | (2) |
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3.4.3 Model Partitioning by Allocating Subordinate Terms |
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77 | (1) |
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3.5 Pseudo-Marginals in Medical Image Analysis |
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78 | (16) |
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3.5.1 Synthetic Checkerboard Images |
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79 | (4) |
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3.5.2 Modeling Lungs on Spiral LDCT Chest Scans |
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83 | (3) |
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3.5.3 Modeling Blood Vessels on TOF-MRA Images |
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86 | (3) |
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3.5.4 Modeling Brain Tissues on MRI |
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89 | (1) |
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3.5.5 Modeling Brain Blood Vessels on PC-MRA Images |
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90 | (1) |
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3.5.6 Aorta Modeling on CTA Images |
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91 | (3) |
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3.6 Bibliographic and Historical Notes |
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94 | (3) |
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4 Markov-Gibbs Random Field Models: Estimating Signal Interactions |
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97 | (32) |
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4.1 Generic Kth-Order MGRFs |
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97 | (7) |
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4.1.1 MCMC Sampling of an MGRF |
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100 | (1) |
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4.1.2 Gibbs and Metropolis-Hastings Samplers |
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101 | (3) |
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4.2 Common Second- and Higher-Order MGRFs |
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104 | (15) |
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4.2.1 Nearest-Neighbor MGRFs |
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105 | (6) |
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4.2.2 Gaussian and Gauss-Markov Random Fields |
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111 | (2) |
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4.2.3 Models with Multiple Pairwise Interactions |
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113 | (4) |
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117 | (2) |
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4.3 Learning Second-Order Interaction Structures |
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119 | (4) |
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4.4 Bibliographic and Historical Notes |
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123 | (6) |
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126 | (1) |
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127 | (1) |
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127 | (2) |
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5 Applications: Image Alignment |
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129 | (14) |
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5.1 General Image Alignment Frameworks |
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129 | (2) |
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5.2 Global Alignment by Learning an Appearance Prior |
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131 | (3) |
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5.3 Bibliographic and Historical Notes |
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134 | (9) |
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6 Segmenting Multimodal Images |
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143 | (30) |
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6.1 Joint MGRF of Images and Region Maps |
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144 | (3) |
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6.2 Experimental Validation |
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147 | (20) |
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147 | (3) |
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150 | (4) |
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6.2.3 Blood Vessels in TOF-MRA Images |
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154 | (4) |
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6.2.4 Blood Vessels in PC-MRA Images |
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158 | (3) |
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6.2.5 Aorta Blood Vessels in CTA Images |
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161 | (1) |
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162 | (5) |
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6.3 Bibliographic and Historical Notes |
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167 | (2) |
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6.4 Performance Evaluation and Validation |
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169 | (4) |
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7 Segmenting with Deformable Models |
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173 | (24) |
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7.1 Appearance-Based Segmentation |
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173 | (10) |
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7.1.1 Experimental Validation |
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175 | (1) |
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175 | (1) |
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176 | (2) |
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178 | (1) |
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7.1.1.4 Various Other Objects |
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178 | (5) |
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7.2 Shape and Appearance-Based Segmentation |
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183 | (10) |
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7.2.1 Learning a Shape Model |
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185 | (1) |
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7.2.2 Experimental Validation |
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185 | (1) |
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185 | (4) |
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189 | (4) |
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7.3 Bibliographic and Historical Notes |
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193 | (4) |
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8 Segmenting with Shape and Appearance Priors |
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197 | (12) |
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8.1 Learning a Shape Prior |
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197 | (3) |
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8.2 Evolving a Deformable Boundary |
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200 | (1) |
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8.3 Experimental Validation |
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201 | (2) |
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8.4 Bibliographic and Historical Notes |
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203 | (6) |
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9 Cine Cardiac MRI Analysis |
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209 | (24) |
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9.1 Segmenting Myocardial Borders |
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210 | (4) |
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9.2 Wall Thickness Analysis |
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214 | (3) |
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9.2.1 GGMRF-Based Continuity Analysis |
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215 | (2) |
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217 | (10) |
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9.3.1 LV Wall Correspondences |
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218 | (1) |
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9.3.2 LV Wall Segmentation |
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219 | (6) |
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225 | (2) |
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9.4 Bibliographic and Historical Notes |
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227 | (6) |
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10 Sizing Cardiac Pathologies |
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233 | (24) |
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10.1 LV Wall Segmentation |
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236 | (5) |
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10.2 Identifying the Pathological Tissue |
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241 | (1) |
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10.3 Quantifying the Myocardial Viability |
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242 | (1) |
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10.4 Performance Evaluation and Validation |
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243 | (10) |
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10.4.1 Segmentation Accuracy |
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244 | (1) |
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10.4.2 Transmural Extent Accuracy |
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244 | (3) |
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10.4.3 Pathology Delineation Accuracy |
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247 | (2) |
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10.4.4 Clinically Meaningful Effects |
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249 | (4) |
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10.5 Bibliographic and Historical Notes |
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253 | (4) |
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10.5.1 Appearance and Shape Priors |
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253 | (1) |
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10.5.2 Myocardial Viability Metrics |
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254 | (3) |
| References |
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257 | (20) |
| Index |
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277 | |