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Variational Methods

In Imaging and Geometric Control

Ed. by Bergounioux, Maïtine / Peyré, Gabriel / Schnörr, Christoph / Caillau, Jean-Baptiste / Haberkorn, Thomas

Series:Radon Series on Computational and Applied Mathematics 18

    139,95 € / $196.00 / £126.99*

    eBook (PDF)
    Publication Date:
    January 2017
    Copyright year:
    2017
    ISBN
    978-3-11-043039-4
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    Overview

    Aims and Scope

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

    Details

    xii, 528 pages
    180 Fig.
    Language:
    English
    Type of Publication:
    Monograph
    Keyword(s):

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    Maïtine Bergounioux, Université d'Orléans, France.

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