Error Bounds for Finite-Difference Methods for Rudin-Osher-Fatemi Image Smoothing
MINNESOTA UNIV MINNEAPOLIS INST FOR MATHEMATICS AND ITS APPLICATIONS
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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.
- Theoretical Mathematics