AuthorsO. M. Lysaker, S. Osher and X. Tai
TitleNoise Removal Using Smoothed Normals and Surface Fitting
StatusPublished
Publication TypeJournal Article
Year of Publication2004
JournalIEEE Transactions on Image Processing
Volume13
Number10
Pagination1345-1357
Abstract

In this work, we use partial differential equation techniques to remove noise from digital images. The removal is done in two steps. We first use a total-variation filter to smooth the normal vectors of the level curves of a noise image. After this, we try to find a surface to fit the smoothed normal vectors. For each of these two stages, the problem is reduced to a nonlinear partial differential equation. Finite difference schemes are used to solve these equations. A broad range of numerical examples are given in the paper.

Citation KeySC.4.Lysaker.2004