Convergence theorems for the Non-Local Means filter

• DOI: 10.3934/ipi.2018036
• Publication Date: 2018-07-02T23:39:50Z
• Authors: Qiyu Jin; ; Ion Grama; Quansheng Liu
• Keywords: Similarity (geometry)

We introduce an oracle filter for removing the Gaussian noise with weights depending on a similarity function. The usual Non-Local Means is obtained from this by substituting function estimator based patches. When sizes of search window are chosen appropriately, it shown that converges optimal rate. same convergence rate preserved when has suitable errors-in measurements. also provide statistical which at convenient Based our theorems, we propose some simple formulas choice parameters. Simulation results show parameters improves restoration quality compared in original algorithm.