@Article{CiCP-1-5,
author = {},
title = {An Efficient Operator-Splitting Method for Noise Removal in Images},
journal = {Communications in Computational Physics},
year = {2006},
volume = {1},
number = {5},
pages = {847--858},
abstract = {<p style="text-align: justify;">In this work, noise removal in digital images is investigated. The importance
of this problem lies in the fact that removal of noise is a necessary pre-processing step
for other image processing tasks such as edge detection, image segmentation, image
compression, classification problems, image registration etc. A number of different
approaches have been proposed in the literature. In this work, a non-linear PDE-based
algorithm is developed based on the ideas proposed by Lysaker, Osher and Tai [<em>IEEE
Trans. Image Process.,</em> 13 (2004), 1345-1357] . This algorithm consists of two steps: flow
field smoothing of the normal vectors, followed by image reconstruction. We propose
a finite-difference based additive operator-splitting method that allows for much larger
time-steps. This results in an efficient method for noise-removal that is shown to have
good visual results. The energy is studied as an objective measure of the algorithm
performance.</p>},
issn = {1991-7120},
doi = {https://doi.org/2006-CiCP-7982},
url = {https://global-sci.com/article/81395/an-efficient-operator-splitting-method-for-noise-removal-in-images}
}