In reconstructing an object function F (r) from finitely many noisy linear-functional values∫ F
(r) G_n (r) dr we face the problem that finite data, noisy or not, are insufficient to specify F (r) …

A method is proposed to reconstruct signals from incomplete data. The method, which can
be interpreted both as a discrete implementation of the so-called prior discrete Fourier …

The prior discrete Fourier transform (PDFT) is a linear spectral estimator that provides a
solution that is both data consistent and of minimum weighted norm through the use of a …

A method is described for reconstructing images from incomplete data sets if subsets of the
data are obtained with different data acquisition systems. The proposed method is able to …

A basic problem in remote sensing is to determine the nature of a distant object by
measuring signals transmitted by or reflected from that object. If the object of interest is …

The problem is to reconstruct a function f: RD→ C from finitely many linear functional values.
To model the operator that transforms f into the data vector, we need to select an ambient …