most citedComputational issues by interpolating with inverse multiquadrics: a solution

1 citations · 2 across the 5 of their papers we have counts for

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6 papers

math.NA20221 cited

Computational issues by interpolating with inverse multiquadrics: a solution

Stefano De Marchi, Nadaniela Egidi, Josephin Giacomini +2

We consider the interpolation problem with the inverse multiquadric radial basis function. The problem usually produces a large dense linear system that has to be solved by iterati…

math.NA20221 cited

Polynomial mapped bases: theory and applications

Stefano De Marchi, Giacomo Elefante, Elisa Francomano +1

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-…

math.NA2022

Reducing the Gibbs effect in multimodal medical imaging by the Fake Nodes Approach

Davide Poggiali, Diego Cecchin, Stefano De Marchi

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 image. Th…

math.NA2022

Variably Scaled Persistence Kernels (VSPKs) for persistent homology applications

Stefano De Marchi, Federico Lot, Francesco Marchetti +1

In recent years, various kernels have been proposed in the context of persistent homology to deal with persistence diagrams in supervised learning approaches. In this paper, we con…

math.NA2021

A shape preserving quasi-interpolation operator based on a new transcendental RBF

Mohammad Heidari, Maryam Mohammadi, Stefano De Marchi

It is well-known that the univariate Multiquadric quasi-interpolation operator is constructed based on the piecewise linear interpolation by |x|. In this paper, we first introduce…

math.NA2021

Oversampling errors in multimodal medical imaging are due to the Gibbs effect

Davide Poggiali, Diego Cecchin, Cristina Campi +1

To analyse multimodal 3-dimensional medical images, interpolation is required for resampling which - unavoidably - introduces an interpolation error. In this work we consider three…