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A. Buades, B. Coll and J.-M. Morel, “A Review of Image Denoising Algorithms, with a New One,” SIAM Journal on Multiscale Modeling and Simulation, Vol. 4, No. 2, 2005, pp. 490-530. http://dx.doi.org/10.1137/040616024

has been cited by the following article:

• TITLE: Two Modifications of Weight Calculation of the Non-Local Means Denoising Method

  AUTHORS: Musab Elkheir Salih, Xuming Zhang, Mingyue Ding

  KEYWORDS: Non-Local Means; Singular Value Decomposition; Weight Calculation

  JOURNAL NAME: Engineering, Vol.5 No.10B, December 20, 2013

  ABSTRACT: The non-local means (NLM) denoising method replaces each pixel by the weighted average of pixels with the sur-rounding neighborhoods. In this paper we employ a cosine weighting function instead of the original exponential func-tion to improve the efficiency of the NLM denoising method. The cosine function outperforms in the high level noise more than low level noise. To increase the performance more in the low level noise we calculate the neighborhood si-milarity weights in a lower-dimensional subspace using singular value decomposition (SVD). Experimental compari-sons between the proposed modifications against the original NLM algorithm demonstrate its superior denoising per-formance in terms of peak signal to noise ratio (PSNR) and histogram, using various test images corrupted by additive white Gaussian noise (AWGN).