Medical imaging is crucial in modern clinics to provide guidance to the diagnosis and
treatment of diseases. Medical image reconstruction is one of the most fundamental and …

This paper provides principles and applications of the sparse microwave imaging theory and
technology. Synthetic aperture radar (SAR) is an important method of modern remote …

Time-frequency analysis is a modern branch of harmonic analysis. It com prises all those
parts of mathematics and its applications that use the struc ture of translations and …

A search on Mathematical Reviews or Zentralblatt shows only a few titles of books or articles
concerning frames published before 1991; among those we mention the original paper by …

This article presents novel results concerning the recovery of signals from undersampled
data in the common situation where such signals are not sparse in an orthonormal basis or …

The main aim of this paper is to develop a framelet representation of the tensor nuclear norm
for third-order tensor recovery. In the literature, the tensor nuclear norm can be computed by …

Split Bregman methods introduced in [T. Goldstein and S. Osher, SIAM J. Imaging Sci., 2
(2009), pp. 323–343] have been demonstrated to be efficient tools for solving total variation …

We discuss wavelet frames constructed via multiresolution analysis (MRA), with emphasis
on tight wavelet frames. In particular, we establish general principles and specific algorithms …

The variational techniques (eg the total variation based method) are well established and
effective for image restoration, as well as many other applications, while the wavelet frame …

During the last several years, frames have become increasingly popular; they have
appeared in a large number of applications, and several concrete constructions of frames of …