Evaluation of Neutrosophic Set Approach Filtering Technique for Image Denoising

This paper proposes an image denoising technique based on Neutrosophic Set approach of wiener filtering. A Neutrosophic Set (NS), a part of neutrosophy theory, studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Now, we apply the neutrosophic set into image domain and define some concepts and operators for image denoising. Here the image is transformed into NS domain, which is described using three membership sets: True (T), Indeterminacy (I) and False (F). The entropy of the neutrosophic set is defined and employed to evaluate the indeterminacy. The ω-wiener filtering operation is used on T and F to decrease the set indeterminacy and remove noise. We have conducted experiments on a variety of noisy images using different types of noises with different levels. The performance of the proposed filter is compared with Median and Wiener filter based on Peak Signal to Noise Ratio (PSNR) and Root Mean Square Error (RMSE). The experimental results demonstrate that the proposed filter can remove noise automatically and effectively. Especially, it can process not only noisy images with different levels of noise, but also images with different kinds of noise well without knowing the type of the noise.