The problem of reconstructing an image of the permittivity distribution inside a penetrable
and strongly scattering object from a finite number of noisy scattered field measurements …

The version of the phase problem that I have been calling the PP3 is to reconstruct a
function of one or more continuous variables, with bounded support, from the magnitudes of …

A convergence theorem is given to recover an element of a Hilbert space from an infinite
sequence of linear-functional values. We calculate, for each n, the member of the Hilbert …

The problem of determining the nature of a target from limited backscatter data has two
difficult features. The first is the problem of inverting scattered-field data when multiple …

I present strong theoretical evidence indicating that the sequence of norms of the ERA3
iterates is decreasing. This suggests that the ERA3 “works” not just by finding a support …

In a course in signal processing it is easy to get lost in the details and lose sight of the big
picture. The main goals of this first course are to present the most important ideas …

Abstract Magnetic Resonance Spectroscopic Imaging has the potential to be the first non-
invasive technology to provide in vivo images of metabolite specific processes. Initial …

The ambiguity involved in reconstructing an image from limited Fourier data is removed
using a new technique that incorporates prior knowledge of the location of regions …

The problem of reconstructing a non-negative signal from a finite number of spectral data is
a problem of finding an optimal approximation to one function by another. For example, for …

Publisher Summary There are practical advantages for considering the image restoration or
superresolution problem in terms of a neural network formalism. An advantage that has …