title: The digital TV filter and nonlinear denoising.
abstract: Motivated by the classical TV (total variation) restoration model, we propose a new nonlinear filter-the digital TV filter for denoising and enhancing digital images, or more generally, data living on graphs. The digital TV filter is a data dependent lowpass filter, capable of denoising data without blurring jumps or edges. In iterations, it solves a global total variational (or L(1)) optimization problem, which differs from most statistical filters. Applications are given in the denoising of one dimensional (1-D) signals, two-dimensional (2-D) data with irregular structures, gray scale and color images, and nonflat image features such as chromaticity.
authors.affiliation: Department of Mathematics, University of California, Los Angeles, CA 90095-1555, USA. chan@math.ucla.edu
authors.forename: T F
authors.initials: TF
authors.lastname: Chan
authors.forename: S
authors.initials: S
authors.lastname: Osher
authors.forename: J
authors.initials: J
authors.lastname: Shen