The search for efficient image denoising methods is still a valid challenge at the crossing of
functional analysis and statistics. In spite of the sophistication of the recently proposed …

Since their introduction in a classic paper by Rudin, Osher and Fatemi [26], total variation
minimizing models have become one of the most popular and successful methodology for …

Haze can seriously affect the visible and visual quality of outdoor images. As a challenge in
practice, image dehazing techniques are always used to remove haze from the captured …

In the present day, images and videos account for nearly 80% of all the data transmitted
during our daily activities. This work employs a combination of novel stegnography and data …

We show that various inverse problems in signal recovery can be formulated as the generic
problem of minimizing the sum of two convex functions with certain regularity properties …

We propose the use of nonlocal operators to define new types of flows and functionals for
image processing and elsewhere. A main advantage over classical PDE-based algorithms …

We introduce a new iterative regularization procedure for inverse problems based on the
use of Bregman distances, with particular focus on problems arising in image processing …

Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus
of Variations | SpringerLink Skip to main content Advertisement SpringerLink Log in Menu …

An algorithm for the simultaneous filling-in of texture and structure in regions of missing
image information is presented in this paper. The basic idea is to first decompose the image …

The bilateral filter is a non-linear technique that can blur an image while respecting strong
edges. Its ability to decompose an image into different scales without causing haloes after …