A signal processing approach is discussed which has the potential for imaging strongly
scattering objects from a series of scattering experiments. The method is based on a linear …

This article presents an approach to extend our previous work of the minimum‐weighted
norm method in computerized tomography. In particular concentrating on applications of …

A series of algorithms are described in order of increasing complexity and improved
performance. The original scheme of Papoulis and Chamzas (1979) serves as a model for …

A linear spectral estimator, referred to as the PDFT was previously used to reconstruct a
target in a homogeneous background. More typically, a target will have other objects or …

Usually, methods for the inversion of scattered field data rely on linearizing methods such as
the first Born or the Rytov approximations, in order to render the solution numerically …

Estimation of a Hilbert-space valued parameter in a linear model with compact linear
transformation is considered with both multiplicative and additive noise present. The …

The authors discuss the implementation of a technique first proposed by Jang et al.(1988)
for the inversion of a matrix. The inversion is performed by mapping an appropriate energy …

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 …