In this work we propose a new method for univariate polynomial interpolation based on what
we call mapped bases. As theoretically shown, constructing the interpolating function via the …

Image resizing is a basic tool in image processing, and in literature, we have many methods
based on different approaches, which are often specialized in only upscaling or …

Accurate interpolation and approximation techniques for functions with discontinuities are
key tools in many applications, such as medical imaging. In this paper, we study a radial …

In this paper we address the problem of approximating functions with discontinuities via
kernel-based methods. The main result is the construction of discontinuous kernel-based …

The main goal of the present paper is to extend the interpolation via the so-called mapped
bases without resampling to any basis and dimension. So far indeed, we investigated the …

The paper deals with de la Vallée Poussin type interpolation on the square at tensor product
Chebyshev zeros of the first kind. The approximation is studied in the space of locally …

In this work, we extend the so-called mapped bases or fake nodes approach to the
barycentric rational interpolation of Floater–Hormann and to AAA approximants. More …

Discretization-based spectral approximation methods provide spectrally accurate
reconstruction of an analytic function. The expansion of non-smooth functions is …

Magnetic particle imaging (MPI) is a promising new in vivo medical imaging modality in
which distributions of super-paramagnetic nanoparticles are tracked based on their …

Assessing the similarity of two images is a complex task that attracts significant efforts in the
image processing community. The widely used structural similarity index measure (SSIM) …