6533b822fe1ef96bd127d519

RESEARCH PRODUCT

A New Time Dependent Model Based on Level Set Motion for Nonlinear Deblurring and Noise Removal

Stanley OsherAntonio Marquina

subject

Euler–Lagrange equationDeblurringMathematical optimizationLevel set (data structures)Nonlinear systemSteady state (electronics)Optimization problemSimple (abstract algebra)Applied mathematicsStability (probability)Mathematics

description

In this paper we summarize the main features of a new time dependent model to approximate the solution to the nonlinear total variation optimization problem for deblurring and noise removal introduced by Rudin, Osher and Fatemi. Our model is based on level set motion whose steady state is quickly reached by means of an explicit procedure based on an ENO Hamilton-Jacobi version of Roe's scheme. We show numerical evidence of the speed, resolution and stability of this simple explicit procedure in two representative 1D and 2D numerical examples.

yearjournalcountryeditionlanguage
1999-01-01
https://doi.org/10.1007/3-540-48236-9_38