EAN: 9783110439236

VARIATIONAL METHODS GEBUNDEN

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

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