Denoising 3D Medical Images Using a Second Order Variational Model and Wavelet Shrinkage

  • Minh-Phuong Tran
  • Renaud Péteri
  • Maitine Bergounioux
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7325)


The aim of this paper is to construct a model which decomposes a 3D image into two components: the first one containing the geometrical structure of the image, the second one containing the noise. The proposed method is based on a second order variational model and an undecimated wavelet thresholding operator. The numerical implementation is described, and some experiments for denoising a 3D MRI image are successfully performed. Future prospects are finally exposed.


Image Decomposition Image Denoising Undecimated wavelet Shrinkage Second order variational model 3D medical image 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Minh-Phuong Tran
    • 1
  • Renaud Péteri
    • 2
  • Maitine Bergounioux
    • 1
  1. 1.Laboratoire MAPMO, UMR 6628, Fédération Denis-PoissonUniversité d’OrléansOrléans Cedex 2France
  2. 2.Laboratoire Mathématiques, Image et ApplicationsUniversité de La RochelleLa RochelleFrance

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