Pattern Recognition and Image Analysis

, Volume 25, Issue 4, pp 658–668 | Cite as

HeNLM-LA3D: A three-dimensional locally adaptive Hermite functions expansion based non-local means algorithm for CT applications

  • N. V. Mamaev
  • A. S. Lukin
  • D. V. Yurin
Applied Problems


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.


computed tomography image filtering non-local means local jets method Hermite functions 3D filtering locally adaptive algorithm 


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Copyright information

© Pleiades Publishing, Ltd. 2015

Authors and Affiliations

  1. 1.Laboratory of Mathematical Methods of Image ProcessingFaculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Leninskie GoryMoscowRussia

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