Non-local Filter for Removing a Mixture of Gaussian and Impulse Noises
نویسندگان
چکیده
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 and extends the Non-Local Means Filter. Our experiments show that the new filter generally outperforms two other recent proposed methods. A careful discussion and simple formulas are given for the choice of parameters for the proposed filter.
منابع مشابه
Improved Adaptive Median Filter Algorithm for Removing Impulse Noise from Grayscale Images
Digital image is often degraded by many kinds of noise during the process of acquisition and transmission. To make subsequent processing more convenient, it is necessary to decrease the effect of noise. There are many kinds of noises in image, which mainly include salt and pepper noise and Gaussian noise. This paper focuses on median filters to remove the salt and pepper noise. After summarizin...
متن کاملRemoving Mixture of Gaussian and Impulse Noise by Patch-Based Weighted Means
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 ...
متن کاملOptimal Weights Mixed Filter for removing mixture of Gaussian and impulse noises
In this paper we consider the problem of restoration of a image contaminated by a mixture of Gaussian and impulse noises. We propose a new statistic called ROADGI which improves the well-known Rank-Ordered Absolute Differences (ROAD) statistic for detecting points contaminated with the impulse noise in this context. Combining ROADGI statistic with the method of weights optimization we obtain a ...
متن کاملNew partition-based filters for suppressing mixed high probability impulse and Gaussian noises in images
In this paper, we propose a new partition-based filter for removing mixed high probability impulse and Gaussian noises by extraction of the signals. The proposed filter sorts the elements of sample vector and extracts the signals around the median from sorted signals. The extraction vector is classified into one of M partitions, and a particular filtering operation is then activated. The output...
متن کاملAn Enhanced Median Filter for Removing Noise from MR Images
In this paper, a novel decision based median (DBM) filter for enhancing MR images has been proposed. The method is based on eliminating impulse noise from MR images. A median-based method to remove impulse noise from digital MR images has been developed. Each pixel is leveled from black to white like gray-level. The method is adjusted in order to decide whether the median operation can be appli...
متن کامل