title: An Algorithm for Improving Non-Local Means  Operators via Low-Rank Approximation.
abstract: We present a method for improving a non-local means (NLM) operator by computing its low-rank approximation. The low-rank operator is constructed by applying a filter to the spectrum of the original NLM operator. This results in an operator, which is less sensitive to noise while preserving important properties of the original operator. The method is efficiently implemented based on Chebyshev polynomials and is demonstrated on the application of natural images denoising. For this application, we provide a comparison of our method with other denoising methods.
authors.forename: Victor
authors.initials: V
authors.lastname: May
authors.forename: Yosi
authors.initials: Y
authors.lastname: Keller
authors.forename: Nir
authors.initials: N
authors.lastname: Sharon
authors.forename: Yoel
authors.initials: Y
authors.lastname: Shkolnisky