5 papers
Deterministic and stochastic particle methods for the Fokker-Planck equation in S--formulation with application to point set registration
Klaas Willems, Angelo Iollo, Giovanni Russo +1
We present two particle methods for point set registration in bounded domains based on the Fokker-Planck equation. The first method relies on a moving least squares discretization…
Parametric vector flows for registration fields in bounded domains with applications to nonlinear interpolation of shock-dominated flows
Jon Labatut, Jean-Baptiste Chapelier, Angelo Iollo +1
We present a registration procedure for parametric model order reduction (MOR) in two- and three-dimensional bounded domains. In the MOR framework, registration methods exploit sol…
Mathematical aspects of registration methods in bounded domains
Angelo Iollo, Jon Labatut, Pierre Mounoud +1
Registration methods in bounded domains have received significant attention in the model reduction literature, as a valuable tool for nonlinear approximation. The aim of this work…
Graph-Convolutional-Beta-VAE for Synthetic Abdominal Aorta Aneurysm Generation
Francesco Fabbri, Martino Andrea Scarpolini, Angelo Iollo +2
Synthetic data generation plays a crucial role in medical research by mitigating privacy concerns and enabling large-scale patient data analysis. This study presents a beta-Variati…
Point-set registration in bounded domains via the Fokker-Planck equation
Angelo Iollo, Tommaso Taddei
We present a point set registration method in bounded domains based on the solution to the Fokker Planck equation. Our approach leverages (i) density estimation based on Gaussian m…