Non-Local Means Image Denoising Using Shapiro-Wilk Similarity Measure

Abstract

Most of the real-time image acquisitions produce noisy measurements of the unknown true images. Image denoising is the post-acquisition technique to improve the signal-to-noise ratio of the acquired images. Denoising is an essential pre-processing step for different image processing applications such as image segmentation, feature extraction, registration, and other quantitative measurements. Among different denoising methods proposed in the literature, the non-local means method is a preferred choice for images corrupted with an additive Gaussian noise. A conventional non-local means filter (CNLM) suppresses noise in a given image with minimum loss of structural information. In this paper, we propose modifications to the CNLM algorithm where the samples are selected statistically using Shapiro–Wilk test. The experiments on standard test images demonstrate the effectiveness of the proposed method.

Keywords

• Denoising
• Gaussian
• non-local means
• noise
• Shapiro-Wilk test