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The Digital TV Filter and Nonlinear Denoising (2001)
| Venue: | IEEE Trans. Image Process |
| Citations: | 152 - 14 self |
BibTeX
@ARTICLE{Chan01thedigital,
author = {Tony F. Chan and Stanley Osher and Jianhong Shen},
title = {The Digital TV Filter and Nonlinear Denoising},
journal = {IEEE Trans. Image Process},
year = {2001},
volume = {10},
pages = {231--241}
}
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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 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.
