Vol 1, No 1 (2010)

Inaugural Issue: Perspectives on Industrial and Applied Mathematics in Italy

Cover Page


Electric current density imaging. Imaging techniques represent a powerful instrument in the localization of current sources in a conductor starting from the measurements of its external magnetic field. This determines the necessity to deal with magnetic inverse problems which are ill-posed and ill-conditioned, thus regularization techniques are needed. This visualization refers to the localization of sparse electric current densities of groups of current dipoles via classical Tikhonov regularization. The unequally space distribution due to the sparsity of current sources and the ill-conditioning caused by the high noise affecting the magnetic data make the reconstruction quite difficult and require the use of new methods privileging sparsity, as showed in the study of Bretti et al., doi:10.1685/2010CAIM493 . The xy plane is discretized with 128x128 pixels; the number of magnetometers used for measurements is 256 and the current density vector is decomposed in the basis of Daubechies orthonormal wavelets with four vanishing moments.

Image Credit: Gabriella Bretti, Università Campus Biomedico di Roma

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Communications in Applied and Industrial Mathematics
ISSN: 2038-0909