Non-iterative complex wave-field reconstruction based on Kramers–Kronig relations

Augmented Lagrangian complex wave field reconstruction from intensity-only data

A new recursive augmented Lagrangian (AL) algorithm is presented for reconstruction of a 3D wave field for intensity-only measurements obtained from two or more sensor planes parallel to the object plane. This reconstruction is framed as a maximum likelihood constrained nonlinear optimization problem for Gaussian additive noise observations. A contribution of this paper concerns a development o...

Bosonization and Iterative Relations Beyond Field Theories

Solitons can be well described by the Lagrange formalism of effective field theories. But usually mass and coupling constants constitute phenomenological dimensions without any relation to the topological processes. This paper starts with a two-spinor Dirac equation in radial symmetry including vector Coulomb and scalar Lorentz potentials, and arrives after bosonization at the sine-Gordon equat...

Model-based iterative reconstruction

Realizing this, GE Healthcare has developed a powerful class of new reconstruction techniques designed to explicitly include the modeling of data statistics into the reconstruction. ASiR,* introduced in 2008, fi rst demonstrated the potential of advanced statistical algorithms. In 2011, Veo*§ builds upon the foundation laid by ASiR by now including accurate modeling of X-ray physics and system ...

Iterative Reconstruction Methods for Non-cartesian Mri

For magnetic resonance imaging (MRI) with Cartesian k-space sampling, a simple inverse FFT usually suffices for image reconstruction. More sophisticated image reconstruction methods are needed for non-Cartesian k-space acquisitions. Regularized least-squares methods for image reconstruction involve minimizing a cost function consisting of a least-squares data fit term plus a regularizing roughn...

Thermal-wave slice tomography using wave field reconstruction