Non-uniformity correction using cosine functions basis and total variation constraint

  • Authors:

  • N. Azzabou;P. Loureiro de Sousa;P. G. Carlier

  • Affiliations:

  • Institute of Myology, NMR Laboratory, Paris, France and CEA, I2BM, MIRCen, IdM NMR Laboratory, Paris, France and UPMC Univ Paris 06, Paris, France;Institute of Myology, NMR Laboratory, Paris, France and CEA, I2BM, MIRCen, IdM NMR Laboratory, Paris, France and UPMC Univ Paris 06, Paris, France;Institute of Myology, NMR Laboratory, Paris, France and CEA, I2BM, MIRCen, IdM NMR Laboratory, Paris, France and UPMC Univ Paris 06, Paris, France

  • Venue:
  • ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
  • Year:
  • 2010

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Abstract

In this paper we introduce a new non-uniformity correction technique for receiver dependent intensity fluctuations in NMR images. Our method was designed for lower limb images, particularly those acquired in the context of muscular dystrophy studies. The new approach was motivated by the fact that in pathological cases we cannot make assumption about the characteristics of the various tissues in the image, which is a prerequisite and a main limitation for the numerous techniques proposed in the literature. In this work we considered a parametric model for the non-uniformity field based on combination of cosine functions. The estimation of the parameters was done by minimizing a cost function that reduces the variance in the subcutaneous fat as well as the total variation of the nonuniformity function. Experimental results were promising and showed the efficiency of the proposed approach.