We present a new image scaling method both for downscaling and upscaling, running with
any scale factor or desired size. The resized image is achieved by sampling a bivariate …

The mapped bases or Fake Nodes Approach (FNA), introduced in De Marchi et al.(J Comput
Appl Math 364: 112347, 2020c), allows to change the set of nodes without the need of …

In this paper, we introduce the class of (β, γ)-Chebyshev functions and corresponding points,
which can be seen as a family of generalized Chebyshev polynomials and points. For the (β …

In this paper, we collect the basic theory and the most important applications of a novel
technique that has shown to be suitable for scattered data interpolation, quadrature, bio …

To analyze multimodal three-dimensional medical images, interpolation is required for
resampling which—unavoidably—introduces an interpolation error. In this work we describe …

We investigate the use of the so-called mapped bases or fake nodes approach in the
framework of numerical integration. We show that such approach is able to mitigate the …

Abstract Recently,(β, γ)-Chebyshev functions, as well as the corresponding zeros, have
been introduced as a generalization of classical Chebyshev polynomials of the first kind and …

It is a common practice in multimodal medical imaging to undersample the anatomically-
derived segmentation images to measure the mean activity of a co-acquired functional …

In questo elaborato presentiamo le (β, γ)-funzioni di Chebyshev ei corrispondenti (β, γ)-punti
di Chebyshev. Mostriamo che possono essere considerati come una generalizzazione dei …

This paper aims to provide an overview of variably scaled kernels introduced in [10] and
review their applications highlighting the contribution by Stefano De Marchi and his …