Across Modality Registration Using Intensity Based Cost Functions

Derek L.G. Hill 1 Introduction 537

David J. Hawkes 2 Background to the Use of Voxel Similarity Measures 538

King's College London 3 joint Histograms 539

4 Information Theory Measures 542

4.1 Measuring Information • 4.2 joint Entropy • 4.3 Mutual Information • 4.4 Normalized Mutual Information

5 Optimization 543

5.1 Discrete and Continuous Formulations of Mutual Information • 5.2 Image Resampling • 5.3 Capture Range • 5.4 Search Strategy

6 Applications of Mutual Information 545

6.1 Mutual Information for Registration Involving Affine Transformations • 6.2 Mutual Information for 2D 3D Registration • 6.3 Mutual Information for Nonrigid Registration

7 Criticisms of Mutual Information 546

8 Conclusions 548

References 552

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