A Semi-Lagrangian Scheme with Radial Basis Approximation for Surface Reconstruction

par Elisabetta Carlini (Université de Rome (Italie))

vendredi 17 avr. 2015, 10:30 → 11:30 Europe/Paris

XLIM Salle X.203

We propose a Semi-Lagrangian scheme accomplished with Radial Basis Function Interpolation for approximating a curvature-related level set model, which has been proposed by Zhao et al. (2000) to reconstruct unknown surfaces from sparse data sets. The main advantage of our scheme is the possibility to solve the level set method on unstructured grids, with a consequent reduction of grid's dimension. Numerical tests show the behavior of our approach to reconstruct an algebraic curve and an algebraic surface. Joint work with R. Ferretti.