@Article{NMTMA-10-852, author = {}, title = {Learning Non-Negativity Constrained Variation for Image Denoising and Deblurring}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2017}, volume = {10}, number = {4}, pages = {852--871}, abstract = {

This paper presents a heuristic Learning-based Non-Negativity Constrained Variation (L-NNCV) aiming to search the coefficients of variational model automatically and make the variation adapt different images and problems by supervised-learning strategy. The model includes two terms: a problem-based term that is derived from the prior knowledge, and an image-driven regularization which is learned by some training samples. The model can be solved by classical ε-constraint method. Experimental results show that: the experimental effectiveness of each term in the regularization accords with the corresponding theoretical proof; the proposed method outperforms other PDE-based methods on image denoising and deblurring.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2017.m1653}, url = {http://global-sci.org/intro/article_detail/nmtma/10459.html} }