Variational methods in imaging and geometric control / edited by Maitine Bergounioux [and four others].

Format:

Book

Contributor:

Bergounioux, Maïtine, editor.

Series:

Radon series on computational and applied mathematics ; 18.

Radon series on computational and applied mathematics ; 18

Language:

English

Subjects (All):

Image processing--Mathematical models.

Image processing.

Image analysis--Mathematical models.

Image analysis.

Physical Description:

1 online resource (538 pages) : illustrations (some color).

Edition:

1st ed.

Place of Publication:

Berlin ; Boston : Walter de Gruyter GmbH & Company, KG, [2017]

Language Note:

In English.

Summary:

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・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・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・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

Contents:

Frontmatter

Contents

Part I

1. Second-order decomposition model for image processing: numerical experimentation / Bergounioux, Maïtine

2. Optimizing spatial and tonal data for PDE-based inpainting / Hoeltgen, Laurent / Mainberger, Markus / Hoffmann, Sebastian / Weickert, Joachim / Hoo Tang, Ching / Setzer, Simon / Johannsen, Daniel / Neumann, Frank / Doerr, Benjamin

3. Image registration using phase-amplitude separation / Xie, Qian / Srivastava, Anuj

4. Rotation invariance in exemplar-based image inpainting / Eller, Martin / Fornasier, Massimo

5. Convective regularization for optical flow / Iglesias, José A. / Kirisits, Clemens

6. A variational method for quantitative photoacoustic tomography with piecewise constant coefficients / Beretta, Elena / Muszkieta, Monika / Naetar, Wolf / Scherzer, Otmar

7. On optical flow models for variational motion estimation / Burger, Martin / Dirks, Hendrik / Frerking, Lena

8. Bilevel approaches for learning of variational imaging models / Calatroni, Luca / Cao, Chung / Carlos De los Reyes, Juan / Schönlieb, Carola-Bibiane / Valkonen, Tuomo

Part II

9. Non-degenerate forms of the generalized Euler-Lagrange condition for state-constrained optimal control problems / Bettiol, Piernicola / Khalil, Nathalie

10 The Purcell three-link swimmer: some geometric and numerical aspects related to periodic optimal controls / Bettiol, Piernicola / Bonnard, Bernard / Giraldi, Laetitia / Martinon, Pierre / Rouot, Jérémy

11. Controllability of Keplerian motion with low-thrust control systems / Chen, Zheng / Chitour, Yacine

12. Higher variational equation techniques for the integrability of homogeneous potentials / Combot, Thierry

13. Introduction to KAM theory with a view to celestial mechanics / Féjoz, Jacques

14. Invariants of contact sub-pseudo-Riemannian structures and Einstein-Weyl geometry / Grochowski, Marek / Kryński, Wojciech

15. Time-optimal control for a perturbed Brockett integrator / Lohéac, Jérôme / Scheid, Jean-François

16. Twist maps and Arnold diffusion for diffeomorphisms / Marco, Jean-Pierre

17. A Hamiltonian approach to sufficiency in optimal control with minimal regularity conditions: Part I / Stefani, Gianna / Zezza, Pierluigi

Index

Notes:

Includes bibliographical references and index.

Description based on print version record.

ISBN:

3-11-043049-5

3-11-043039-8

OCLC:

971366322