The multiframe image super-resolution (SR) has appeal great care due to its relevant
practical applications. Since the SR methods are always considered as ill-posed problems …

Verifying an identity claim by fingerprint recognition is a commonplace experience for
millions of people in their daily life, for example, for unlocking a tablet computer or …

A spectral-element method based on the Legendre–Galerkin approximation is presented to
solve the two-dimensional biharmonic equations. Rigorous error analysis is carried out to …

In this paper, an efficient dimension splitting method is applied to the two-dimensional (2D)
and three-dimensional (3D) Cahn-Hilliard type equations with significant applications in …

Image denoising has always been a challenging task. For performing this task, one of the
most effective methods is based on variational PDE. Inspired by the LLT model, we first …

Missing data recovery is an important and yet challenging problem in imaging and data
science. Successful models often adopt certain carefully chosen regularization. Recently …

The aim of this work is to provide a concise survey of results about the Blake–Zisserman
functional for image segmentation and inpainting. Moreover a refinement of the Almansi …

A remarkable number of different numerical algorithms can be understood and analyzed
using the concepts of symmetric spaces and Lie triple systems, which are well known in …

Abstract In Cultural Heritage (CH) imaging, data acquired within different spectral regions
are often used to inspect surface and sub-surface features. Due to the experimental setup …

We consider a nonlinear fourth-order diffusion equation that arises in denoising of image
densities. We propose an implicit time-stepping scheme that employs a primal-dual method …