HeNLM-LA3D: A Three-Dimensional Locally Adaptive Hermite Functions Expansion Based Non-Local Means Algorithm for CT Applications
Publication type
Journal article
Author(s)
N.V.Mamaev, A.S.Lukin, D.V.Yurin
Publication date
2015
Journal
Pattern Recognition and Image Analysis
Volume
25
Issue
4
Page(s)
658-668
Publisher
Pleiades Publishing, Ltd.
Abstract
A three-dimensional filtering algorithm for CT images (HeNLM-LA3D) has been proposed that is based on expanding the pixel neighborhood into Hermite functions, which form an orthonormal basis. Accounting for Hermite functions properties, pixel neighborhoods are oriented according to principal components of the structure tensor. The filtering parameter is adaptively adjusted to local estimates of the noise
level. A noise estimation algorithm is proposed.
