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Pt. I Fundamentals of Imaging
1 Case Examples of Imaging 3
2 Image and Noise Models 27
Pt. II Regularization
3 Variational Regularization Methods for the Solution of Inverse Problems 53
4 Convex Regularization Methods for Denoising 115
5 Variational Calculus for Non-convex Regularization 159
6 Semi-group Theory and Scale Spaces 185
7 Inverse Scale Spaces 205
Pt. III Mathematical Foundations
8 Functional Analysis 221
9 Weakly Differentiable Functions 239
10 Convex Analysis and Calculus of Variations 273
References 287
Nomenclature 309
Index 315
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