Performing medical imaging. The generation of medical images, which includes a Source AFFine Image REconstruction (SAFFIRE) algorithm, is based on an iterative implementation of minimum mean-square error (MMSE) estimation within an affine-transformed solution space and utilizes a matched filter bank initialization coupled with energy normalization of each successive estimate. An incoherent integration technique provides an alternative implementation strategy to either increase signal-to-noise ratio (SNR) or generalize the estimator to accommodate temporally-separated interference sources. In addition, the estimator solution may be employed to determine volumetric constraints with which to re-apply the estimator to further improve the estimation accuracy.