Variational Methods: In Imaging and Geometric Control (Radon - download pdf or read online

With a spotlight at the interaction among arithmetic and purposes of imaging, the 1st half covers subject matters from optimization, inverse difficulties and form areas to desktop imaginative and prescient and computational anatomy. the second one half is geared in the direction of geometric keep an eye on and similar subject matters, together with Riemannian geometry, celestial mechanics and quantum regulate.

Contents:
Part I
Second-order decomposition version for photo processing: numerical experimentation
Optimizing spatial and tonal information for PDE-based inpainting
Image registration utilizing phase・amplitude separation
Rotation invariance in exemplar-based photo inpainting
Convective regularization for optical flow
A variational approach for quantitative photoacoustic tomography with piecewise consistent coefficients
On optical circulate types for variational movement estimation
Bilevel techniques for studying of variational imaging models
Part II
Non-degenerate types of the generalized Euler・Lagrange for state-constrained optimum regulate problems
The Purcell three-link swimmer: a few geometric and numerical points regarding periodic optimum controls
Controllability of Keplerian movement with low-thrust keep watch over systems
Higher variational equation recommendations for the integrability of homogeneous potentials
Introduction to KAM concept so that it will celestial mechanics
Invariants of touch sub-pseudo-Riemannian buildings and Einstein・Weyl geometry
Time-optimal keep an eye on for a perturbed Brockett integrator
Twist maps and Arnold diffusion for diffeomorphisms
A Hamiltonian method of sufficiency in optimum keep watch over with minimum regularity stipulations: half I
Index