# American Institute of Mathematical Sciences

May  2010, 4(2): 211-222. doi: 10.3934/ipi.2010.4.211

## Spatio-temporal speckle reduction in ultrasound sequences

 1 Laboratoire MAS, Ecole Centrale de Paris, Grande Voie des Vignes 92 295 Chatenay-Malabry, France 2 Laboratoire MAS, Ecole Centrale de Paris and GALEN Group INRIA Saclay, Grande Voie des Vignes 92 295 Chatenay-Malabry, France

Received  June 2009 Revised  March 2010 Published  May 2010

In this paper we will propose a novel variational framework for speckle removal in ultrasound images. Our method combines efficiently a fidelity to data term adapted to the Rayleigh distribution of the speckle and a novel spatio- temporal smoothness constraint. The regularization relies on a non parametric image model that describes the observed image structure and express inter-dependencies between pixels in space and time. The interaction between pixels is determined through the definition of new measure of similarity between them to better reflect image content. To compute this similarity measure, we take into consideration the spatial aspect as well as the temporal one. Experiments were carried on both synthetic and real data and the results show the potential of our method.
Citation: Noura Azzabou, Nikos Paragios. Spatio-temporal speckle reduction in ultrasound sequences. Inverse Problems & Imaging, 2010, 4 (2) : 211-222. doi: 10.3934/ipi.2010.4.211
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