Contents

Chapters in this book

1. Frontmatter I
2. Contents V
3. Part I
4. 1. Second-order decomposition model for image processing: numerical experimentation 5
5. 2. Optimizing spatial and tonal data for PDE-based inpainting 35
6. 3. Image registration using phase–amplitude separation 84
7. 4. Rotation invariance in exemplar-based image inpainting 108
8. 5. Convective regularization for optical flow 184
9. 6. A variational method for quantitative photoacoustic tomography with piecewise constant coefficients 202
10. 7. On optical flow models for variational motion estimation 225
11. 8. Bilevel approaches for learning of variational imaging models 252
12. Part II
13. 9. Non-degenerate forms of the generalized Euler–Lagrange condition for state-constrained optimal control problems 295
14. 10 The Purcell three-link swimmer: some geometric and numerical aspects related to periodic optimal controls 314
15. 11. Controllability of Keplerian motion with low-thrust control systems 344
16. 12. Higher variational equation techniques for the integrability of homogeneous potentials 365
17. 13. Introduction to KAM theory with a view to celestial mechanics 387
18. 14. Invariants of contact sub-pseudo-Riemannian structures and Einstein–Weyl geometry 434
19. 15. Time-optimal control for a perturbed Brockett integrator 454
20. 16. Twist maps and Arnold diffusion for diffeomorphisms 473
21. 17. A Hamiltonian approach to sufficiency in optimal control with minimal regularity conditions: Part I 496
22. Index 517