We give a methodology-oriented perspective on directional image analysis and rotation-
invariant processing. We review the state of the art in the field and make connections with …

At the crossing of the statistical and functional analysis, there exists a relentless quest for an
efficient image denoising algorithm. In terms of greyscale imaging, a plethora of denoising …

It is now widely acknowledged that analyzing the intrinsic geometrical features of the
underlying image is essential in many applications including image processing. In order to …

As a novel MGA (Multiscale Geometric Analysis) tool, shearlets are equipped with a rich
mathematical structure similar to wavelets, which are associated to a multi-resolution …

It is well known that the wavelet transform provides a very effective framework for analysis of
multiscale edges. In this paper, we propose a novel approach based on the shearlet …

The purpose of image fusion is to combine the source images of the same scene into a
single composite image with more useful information and much better visual effects, which is …

Cartoon-like images, ie, C2 functions which are smooth apart from a C2 discontinuity curve,
have by now become a standard model for measuring sparse (nonlinear) approximation …

Neurological disorders are abnormalities related to the human nervous system, and
comprise electrical, biochemical, or structural changes in the spinal cord, brain, or central …

We propose a shearlet formulation of the total variation (TV) method for denoising images.
Shearlets have been mathematically proven to represent distributed discontinuities such as …

In this study, a new multi‐focus image fusion algorithm based on the non‐subsampled
shearlet transform (NSST) is presented. First, an initial fused image is acquired by using a …