Variational methods: in imaging and geometric control
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...
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| Other Authors: | , , , , |
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| Format: | Book/Monograph |
| Language: | English |
| Published: |
Berlin Bosten
De Gruyter
[2017]
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| Series: | Radon series on computational and applied mathematics
Volume 18 |
| In: |
Radon series on computational and applied mathematics (Volume 18)
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| DOI: | 10.1515/9783110430394 |
| Subjects: | |
| Online Access: | Resolving-System, Volltext: https://doi.org/10.1515/9783110430394 Inhaltsverzeichnis: http://d-nb.info/1076280498/04 Verlag, Zentralblatt MATH, Inhaltstext: https://zbmath.org/?q=an:1398.49001 
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| Author Notes: | edited by Maïtine Bergounioux, Gabriel Peyré, Christoph Schnörr, Jean-Baptiste Caillau, Thomas Haberkorn |
| 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 Maïtine Bergounioux, Université d'Orléans, France. |
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| Physical Description: | Online Resource |
| ISBN: | 9783110430394 9783110430493 |
| DOI: | 10.1515/9783110430394 |