@Article{IJNAM-6-3, author = {}, 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 = {
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.
}, issn = {2617-8710}, doi = {https://doi.org/2009-IJNAM-772}, url = {https://global-sci.com/article/83653/numerical-methods-for-non-smooth-l1-optimization-applications-to-free-surface-flows-and-image-denoising} }