Golam Maruf, September 2013--December 2014, "Improved Non-local Means Algorithm Based on Dimensionality Reduction", Computer Science Department, Faculty of Science, University of Western Ontario, Canada

M.Sc. Thesis Abstract

Non-Local Means is an image denoising algorithm based on patch similarity. It compares a reference patch with the neighboring patches to find similar patches. Such similar patches participate in the weighted averaging process. Most of the computational time for Non-Local Means is consumed to measure patch similarity. In this thesis, we have proposed an improvement where the image patches are projected into a global feature space. Then we have performed a statistical t-test to reduce the dimensionality of this feature space. Denoising is achieved based on this reduced feature space and the proposed modification exploits an improvement in terms of denoising performance and computational time.