Non Uniformity Correction Using Cosine Functions and Total Variation Constraint in Musculoskeletal Nmr Imaging

Noura Azzabou^1,2, Paulo Loureiro de Sousa^1,2, Pierre G. Carlier^1,2

We introduced here a new technique for non homogeneity correction that does not rely on prior knowledge about all the tissues in the image. To estimate the non uniformity field, we assumed that it can be modelled as a finite sum of cosine functions. To compute the parameters of the model, we minimised the variance of the image in the subcutaneous fat region under the constraint that the total variation of the field is minimum. The later constraint is the main contribution of this paper. Experimental results, on phantom, healthy subjects and pathological cases showed the efficiency of our model.