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Variational Methods : In Imaging and Geometric Control

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Title: Variational Methods : In Imaging and Geometric Control
Description: 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
Authors: Maïtine Bergounioux, Gabriel Peyré, Christoph Schnörr, Jean-Baptiste Caillau, Thomas Haberkorn
Resource Type: eBook.
Subjects: Image processing--Mathematical models, Image analysis--Mathematical models
Categories: MATHEMATICS / Optimization, COMPUTERS / Artificial Intelligence / Computer Vision & Pattern Recognition, COMPUTERS / Programming / Algorithms, MATHEMATICS / Differential Equations / General, MATHEMATICS / Geometry / General, MATHEMATICS / Mathematical Analysis, TECHNOLOGY & ENGINEERING / Automation
Database: eBook Collection (EBSCOhost)
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DbLabel: eBook Collection (EBSCOhost)
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PubType: eBook
PubTypeId: ebook
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  Data: Variational Methods : In Imaging and Geometric Control
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  Data: 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
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  Data: <searchLink fieldCode="AR" term="%22Maïtine+Bergounioux%22">Maïtine Bergounioux</searchLink><br /><searchLink fieldCode="AR" term="%22Gabriel+Peyré%22">Gabriel Peyré</searchLink><br /><searchLink fieldCode="AR" term="%22Christoph+Schnörr%22">Christoph Schnörr</searchLink><br /><searchLink fieldCode="AR" term="%22Jean-Baptiste+Caillau%22">Jean-Baptiste Caillau</searchLink><br /><searchLink fieldCode="AR" term="%22Thomas+Haberkorn%22">Thomas Haberkorn</searchLink>
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RecordInfo BibRecord:
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      – Code: 510
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Image processing--Mathematical models
        Type: general
      – SubjectFull: Image analysis--Mathematical models
        Type: general
    Titles:
      – TitleFull: Variational Methods : In Imaging and Geometric Control
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Maïtine Bergounioux
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          Name:
            NameFull: Gabriel Peyré
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            NameFull: Christoph Schnörr
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          Name:
            NameFull: Jean-Baptiste Caillau
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            NameFull: Thomas Haberkorn
      – PersonEntity:
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            NameFull: Maïtine Bergounioux
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          Name:
            NameFull: Gabriel Peyré
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          Name:
            NameFull: Christoph Schnörr
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            NameFull: Jean-Baptiste Caillau
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            NameFull: Thomas Haberkorn
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2017
            – D: 04
              M: 04
              Type: profile
              Y: 2018
          Identifiers:
            – Type: isbn-print
              Value: 9783110439236
            – Type: isbn-electronic
              Value: 9783110430394
            – Type: isbn-electronic
              Value: 9783110430493
            – Type: isbn-electronic
              Value: 9783110430400
          Numbering:
            – Type: volume
              Value: 00018
          Titles:
            – TitleFull: Variational Methods : In Imaging and Geometric Control
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