Developments in the theory of image reconstruction and restoration over the past 20 or 30
years are outlined. Particular attention is paid to common estimation structures and to …

In many applications of computed tomography, it may not be possible to acquire projection
data at all angles, as required by the most commonly used algorithm of convolution …

A unified theoretical framework based on the scalar wave equation is presented for
transmission tomography of weakly inhomogeneous objects embedded in a known uniform …

The ill-posed problem of restoring object information from finitely many measurements of its
spectrum can be solved by using the best approximation in Hilbert spaces appropriately …

A new strategy for signal and image reconstruction with incomplete information and partial
constraints is defined. The main purpose of the first paper (part I) is to specify the conditions …

From finite complex spectral data one can construct a continuous object with a given support
that is consistent with the data. Given Fourier magnitude data only, one can choose the …

A spectral extrapolation algorithm for spatially bounded images is presented. An image is
said to be spatially bounded when it is confined to a closed region and is surrounded by a …

The objective of this book is to present an overview of the challenging problem of
determining information about an object from measurements of the field scattered from that …

Traditionally in the problem of tomographic traveltime inversion, the model is divided into a
number of rectangular cells of constant slowness. Inversion consists of finding these …

The purpose of this paper is to reappraise the linearizing methods frequently used to solve
inverse scattering problems. We describe inversion algorithms based on the Born and the …