Variational Methods : : In Imaging and Geometric Control / / ed. by Maïtine Bergounioux, Gabriel Peyré, Christoph Schnörr, Jean-Baptiste Caillau, Thomas Haberkorn.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2017 Part 1
• MitwirkendeR: Beretta, Elena,; Bergounioux, Maïtine,; Bettiol, Piernicola,; Bonnard, Bernard,; Burger, Martin,; Calatroni, Luca,; Cao, Chung,; Carlos De los Reyes, Juan,; Chen, Zheng,; Chitour, Yacine,; Combot, Thierry,; Dirks, Hendrik,; Doerr, Benjamin,; Eller, Martin,; Fornasier, Massimo,; Frerking, Lena,; Féjoz, Jacques,; Giraldi, Laetitia,; Grochowski, Marek,; Hoeltgen, Laurent,; Hoffmann, Sebastian,; Hoo Tang, Ching,; Iglesias, José A.,; Johannsen, Daniel,; Khalil, Nathalie,; Kirisits, Clemens,; Kryński, Wojciech,; Lohéac, Jérôme,; Mainberger, Markus,; Marco, Jean-Pierre,; Martinon, Pierre,; Muszkieta, Monika,; Naetar, Wolf,; Neumann, Frank,; Rouot, Jérémy,; Scheid, Jean-François,; Scherzer, Otmar,; Schönlieb, Carola-Bibiane,; Setzer, Simon,; Srivastava, Anuj,; Stefani, Gianna,; Valkonen, Tuomo,; Weickert, Joachim,; Xie, Qian,; Zezza, Pierluigi,
• HerausgeberIn: Bergounioux, Maïtine,; Caillau, Jean-Baptiste,; Haberkorn, Thomas,; Peyré, Gabriel,; Schnörr, Christoph,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2017]; ©2017
• Year of Publication: 2017
• Language: English
• Series: Radon Series on Computational and Applied Mathematics , 18
• Physical Description: 1 online resource (XII, 528 p.)

With a focus on the interplay between mathematics and applications of imaging, the first part covers topics from optimization, inverse problems and shape spaces to computer vision and computational anatomy. The second part is geared towards geometric control and related topics, including Riemannian geometry, celestial mechanics and quantum control. Contents:Part ISecond-order decomposition model for image processing: numerical experimentationOptimizing spatial and tonal data for PDE-based inpaintingImage registration using phase}39;amplitude separationRotation invariance in exemplar-based image inpaintingConvective regularization for optical flowA variational method for quantitative photoacoustic tomography with piecewise constant coefficientsOn optical flow models for variational motion estimationBilevel approaches for learning of variational imaging modelsPart IINon-degenerate forms of the generalized Euler}39;Lagrange condition for state-constrained optimal control problemsThe Purcell three-link swimmer: some geometric and numerical aspects related to periodic optimal controlsControllability of Keplerian motion with low-thrust control systemsHigher variational equation techniques for the integrability of homogeneous potentialsIntroduction to KAM theory with a view to celestial mechanicsInvariants of contact sub-pseudo-Riemannian structures and Einstein}39;Weyl geometryTime-optimal control for a perturbed Brockett integratorTwist maps and Arnold diffusion for diffeomorphismsA Hamiltonian approach to sufficiency in optimal control with minimal regularity conditions: Part IIndex

Table of Contents

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