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

Minh Phuong Tran1, Renaud Péteri2, Maïtine Bergounioux1

The aim of this paper is to construct a model which decomposes a 3D image into two components: the fi rst 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 imageare successfully performed. Future prospects are finally exposed.

1 :	MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
2 :	MIA - Mathématiques, Image et Applications

Mots Clés : Image Decomposition – Image Denoising – Undecimated wavelet Shrinkage – Second order variational model – 3D medical image

hal-00682783, version 1

http://hal.archives-ouvertes.fr/hal-00682783

oai:hal.archives-ouvertes.fr:hal-00682783

Contributeur : Maïtine Bergounioux <>

Soumis le : Lundi 26 Mars 2012, 18:33:33

Dernière modification le : Lundi 26 Mars 2012, 19:44:17