Learning Non-Negativity Constrained Variation for Image Denoising and Deblurring

摘要

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.