Denoising 3d medical images using a second order variational model and wavelet shrinkage

Authors:
Minh-Phuong Tran;Renaud Péteri;Maitine Bergounioux
Affiliations:
Laboratoire MAPMO, UMR 6628, Fédération Denis-Poisson, Université d'Orléans, Orléans Cedex 2, France;Laboratoire Mathématiques, Image et Applications, Université de La Rochelle, La Rochelle, France;Laboratoire MAPMO, UMR 6628, Fédération Denis-Poisson, Université d'Orléans, Orléans Cedex 2, France
Venue:
ICIAR'12 Proceedings of the 9th international conference on Image Analysis and Recognition - Volume Part II
Year:
2012

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Abstract

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.