The level set method was devised by S. Osher and JA Sethian (1988, J. Comput. Phys. 79,
12–49) as a simple and versatile method for computing and analyzing the motion of an …

A powerful and usable class of methods for numerically approximating the solutions to
optimal stochastic control problems for diffusion, reflected diffusion, or jump-diffusion models …

In this paper a fast swee** method for computing the numerical solution of Eikonal
equations on a rectangular grid is presented. The method is an iterative method which uses …

Introduction Imageprocessing, computervisionandcomputergraphicsareno…-search areas.
Pattern recognition and arti? cial intelligence were the origins of the explorationofthespace …

We derive a Godunov-type numerical flux for the class of strictly convex, homogeneous
Hamiltonians that includes H(p,q)=ap^2+bq^2-2cpq, c^2<ab. We combine our Godunov …

We describe new formulations and develop fast algorithms for implicit surface reconstruction
based on variational and partial differential equation (PDE) methods. In particular we use …

In this paper we consider a fundamental visualization problem: shape reconstruction from an
unorganized data set. A new minimal-surface-like model and its variational and partial …

We propose a simple, fast swee** method based on the Lax–Friedrichs monotone
numerical Hamiltonian to approximate viscosity solutions of arbitrary static Hamilton–Jacobi …

The central focus of this book is the control of continuous-time/continuous-space nonlinear
systems. Using new techniques that employ the max-plus algebra, the author addresses …

We construct high order fast swee** numerical methods for computing viscosity solutions
of static Hamilton–Jacobi equations on rectangular grids. These methods combine high …