1. A magnetocardiogram (MCG) system comprising: a sensor unit including M×M electromagnetic sensors producing a sparse measurement output of M×M data units, said sparse measurement output constituting a first MCG image; a linear model defining a second MCG image of substantially higher resolution than said first MCG image, said second MCG image having a P×P resolution where P>M, said linear model establishing interpolation patterns between characteristics of the linear model and any data point of said M×M measurement output; and a high resolution MCG image synthesizer for producing a third MCG image by projecting said first MCG image onto the subspace of the linear model, and establishing coefficients for said third MCG image in accordance with the linear model and said M×M data units.