Accession Number:

ADA513262

Title:

Error Bounds for Finite-Difference Methods for Rudin-Osher-Fatemi Image Smoothing

Descriptive Note:

Corporate Author:

MINNESOTA UNIV MINNEAPOLIS INST FOR MATHEMATICS AND ITS APPLICATIONS

Personal Author(s):

Report Date:

2009-09-01

Pagination or Media Count:

33.0

Abstract:

We bound the difference between the solution to the continuous Rudin-Osher-Fatemi image smoothing model and the solutions to various finite-difference approximations to this model. These bounds apply to typical images, i.e., images with edges or with fractal structure. These are the first bounds on the error in numerical methods for ROF smoothing.

Subject Categories:

  • Theoretical Mathematics
  • Cybernetics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE