Image Denoising using Patch based Processing with Fuzzy Gaussian Membership Function

A Novel Weighting Method Using Fuzzy Set Theory for Spatial Adaptive Patch-based Image Denoising

Based on fuzzy set theory, this paper proposes a novel weighting method for spatial adaptive patch-based image denoising algorithm which can be considered as an extension of nonlocal means filtering. First, a fuzzy clustering algorithm for weighting data points is applied to reduce the estimate bias which arises from the unrelated points. The weighting function is determined by optimal fuzzy pa...

Statistical and Adaptive Patch-based Image Denoising

Stochastic Fuzzy Discrimination Information Measure Cost Function in Image Processing

A new cost function based on stochastic fuzzy discrimination information measure is introduced in this paper. Focusing on their significant parts, this cost function is used to find the optimal value of threshold for denoising image. It is, in fact, an extension of fuzzy entropy cost function by the present author. Multivariable normal distribution is used for creating focus on significant part...

TIME-VARYING FUZZY SETS BASED ON A GAUSSIAN MEMBERSHIP FUNCTIONS FOR DEVELOPING FUZZY CONTROLLER

The paper presents a novel type of fuzzy sets, called time-Varying Fuzzy Sets (VFS). These fuzzy sets are based on the Gaussian membership functions, they are depended on the error and they are characterized by the displacement of the kernels to both right and left side of the universe of discourse, the two extremes kernels of the universe are fixed for all time. In this work we focus only on t...

Image denoising with patch based PCA: local versus global

In recent years, overcomplete dictionaries combined with sparse learning techniques became extremely popular in computer vision. While their usefulness is undeniable, the improvement they provide in specific tasks of computer vision is still poorly understood. The aim of the present work is to demonstrate that for the task of image denoising, nearly state-of-the-art results can be achieved usin...