6 papers · 1 filter
Exact sinogram: an analytical approach to the Radon transform of phantoms
Monica Dessole, Marta Gatto, Davide Poggiali +1
Phantoms can serve as a gold standard for the validation of MRI numerical methods. In some special cases, it is possible to compute analytically the Radon transform, or sinogram, o…
Interpolation with the polynomial kernels
Giacomo Elefante, Wolfgang Erb, Francesco Marchetti +3
The polynomial kernels are widely used in machine learning and they are one of the default choices to develop kernel-based classification and regression models. However, they are r…
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…
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…
On Kosloff Tal-Ezer Least-Squares Quadrature Formulas
Giacomo Cappellazzo, Wolfgang Erb, Francesco Marchetti +1
In this work, we study a global quadrature scheme for analytic functions on compact intervals based on function values on quasi-uniform grids of quadrature nodes. In practice it is…
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…