In this paper we first present two convergence theorems which give a theoretical justification of the Non-Local Means Filter. Based on these theorems, we propose a new filter, called Non-Local Mixed Filter, to remove a mixture of Gaussian and random impulse noises. This filter combines the essential ideas of the Trilateral Filter and the Non-Local Means Filter. It improves the Trilateral Filter...

This paper compares the original implementation of the trilateral filter with two proposed speed improvements. One is using simple look-up-tables, and leads to exactly the same results as the original filter. The other technique is using a novel way of truncating the look-up-table to a user specified required accuracy. Here, results differ from those of the original filter, but to a very minor ...

By exhaustive study of image restoration and noise detection, we find Trilateral filter proposed by Garnett, Huegerich and Chui [13] an extension to the bilateral filter [1] [11] shows remarkable result while denoising digital images corrupted with mixed noise. Further Dong, Raymond H. Chan, and Shufang Xu [17] improved this trilateral filter for images corrupted with impulse noise having more ...

The trilateral filter is a nonlinear filter which performs averaging without concentrating on smoothing edges. Selection of the filter parameters is an important issue. A spatial nonlinear filter has been implemented based on local neighborhood about a pixel ) , ( y x f to reduce Gaussian and Impulse noise in images. Our approach is to remove universal noise automatically from synthetic images ...

We first establish a law of large numbers and a convergence theorem in distribution to show the rate of convergence of the non-local means filter for removing Gaussian noise. We then introduce the notion of degree of similarity to measure the role of similarity for the non-local means filter. Based on the convergence theorems, we propose a patch-based weighted means filter for removing impulse ...

This study analyzes modern views on the history, variants, age at diagnosis of trilateral retinoblastoma, median time from retinoblastoma to trilateral retinoblastoma, the largest size and percentage of trilateral retinoblastoma among retinoblastoma cases, functions of pineal gland, genetics, ocular and intracranial histology, diagnosis, treatment, therapy results, survival rates and frequency ...