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math.NA2026
Implicit reconstruction from point cloud: an adaptive level-set-based semi-Lagrangian method
Silvia Preda, Matteo Semplice
We propose a level-set-based semi-Lagrangian method on graded adaptive Cartesian grids to address the problem of surface reconstruction from point clouds. The goal is to obtain an…
math.NA2025
SCOUT: Semi-Lagrangian COnservative and Unconditionally sTable schemes for nonlinear advection-diffusion problems
Silvia Preda, Walter Boscheri, Matteo Semplice +1
In this work, we propose a new semi-Lagrangian (SL) finite difference scheme for nonlinear advection-diffusion problems. To ensure conservation, which is fundamental for achieving…
math.NA2024
Surface reconstruction from point cloud using a semi-Lagrangian scheme with local interpolator
Silvia Preda, Matteo Semplice
We propose a level set method to reconstruct unknown surfaces from point clouds, without assuming that the connections between points are known. We consider a variational formulati…