The primary purpose of this paper is to present the theory of the pixon, its role in Bayesian
image reconstruction, and a new method for selecting a pixon basis using fractal dimension …

A product expansion of the inverse operator is used to derive a class of iterative algorithms
that have a pth-order rate of convergence. Compared to the linear algorithm, the number of …

This paper describes an iterative algorithm, MENT, which produces a maximum entropy
solution to the problem of reconstructing a source from a discrete set of projection data …

We present two new algorithms for image restoration by the maximum entropy method, both
based on the preconditioned conjugate gradient method for linear equations. They are …

This paper is concerned with the question of reconstructing a vector in a finite-dimensional
real Hilbert space when only the magnitudes of the coefficients of the vector under a …

The problem of function reconstruction from a small number of accurate moments is
reviewed and studied numerically. Since this problem is underdetermined, a number of …

This article presents a local entropy based image reconstruction algorithm that performs
quite well in cases where there is distortion in an image. If the wanted image information is …

On Optimal Harmonic Synthesis from Inaccurate Spectral Data∗ Page 1 0016–2663/10/4403–0223
cO2010 Springer Science+Business Media, Inc. 223 Functional Analysis and Its Applications …

This paper discusses the theory and application of the Maximum Entropy Method (MEM) to
the reconstruction of Magnetic Resonance (MR) images. It is shown that the MEM is …

The problem of reconstruction from projections in Hilbert space is treated. An axiomatic
basis is considered which leads to techniques which provide improved reconstructions by …