57 citations · 143 across the 21 of their papers we have counts for
4 papers · 1 filter
Error estimates for a tree structure algorithm solving finite horizon control problems
Luca Saluzzi, Alessandro Alla, Maurizio Falcone
In the Dynamic Programming approach to optimal control problems a crucial role is played by the value function that is characterized as the unique viscosity solution of a Hamilton-…
A High-Order Scheme for Image Segmentation via a modified Level-Set method
Maurizio Falcone, Giulio Paolucci, Silvia Tozza
In this paper we propose a high-order accurate scheme for image segmentation based on the level-set method. In this approach, the curve evolution is described as the 0-level set of…
Convergence of Adaptive Filtered Schemes for First Order Evolutionary Hamilton-Jacobi Equations
Maurizio Falcone, Giulio Paolucci, Silvia Tozza
We consider a class of "filtered" schemes for first order time dependent Hamilton-Jacobi equations and prove a general convergence result for this class of schemes. A typical filte…
An efficient DP algorithm on a tree-structure for finite horizon optimal control problems
Alessandro Alla, Maurizio Falcone, Luca Saluzzi
The classical Dynamic Programming (DP) approach to optimal control problems is based on the characterization of the value function as the unique viscosity solution of a Hamilton-Ja…