@Article{IJNAM-6-355,
author = {A. Caboussat, R. Glowinski and V. Pons},
title = {Numerical Methods for Non-Smooth $L^1$ Optimization: Applications to Free Surface Flows and Image Denoising},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2009},
volume = {6},
number = {3},
pages = {355--374},
abstract = {<p style="text-align: justify;">Non-smooth optimization problems based on $L^1$ norms are investigated
for smoothing of signals with noise or functions with sharp gradients.
The use of $L^1$ norms allows to reduce the blurring introduced by methods based
on $L^2$ norms. Numerical methods based on over-relaxation and augmented Lagrangian
algorithms are proposed. Applications to free surface flows and image
denoising are presented.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/772.html}
}