Minimum Squared Error Estimate of Electrical Properties from B1 Maps

Selaka Bandara Bulumulla¹, Seung-Kyun Lee¹, Ileana Hancu¹

In pixel by pixel calculation of conductivity and permittivity from B1 maps, the additive noise in B1 can impair the quality of reconstructed electrical properties images. In previous work, discarding of non-physical values (e.g. negative conductivity) or filtering of B1 maps have been considered. Discarding values lead to missing pixels in the electrical properties images and filtering may remove spatial variation containing information on electrical properties. In this work, we consider minimum squared error estimate of conductivity and permittivity for a region of constant electrical properties and show promising results for a phantom with conductivity contrast.