A method for efficiently achieving full-matrix ultrasonic data capture which includes the steps of providing an ultrasound array apparatus, the ultrasound array apparatus further comprising a probe, collecting data over a plurality of inspection locations, generating a plurality of data matrices, each of the data matrices reflecting data collected at the locations, and collecting, initially, a subset of a quantity of data needed for reconstruction of each of the inspection locations. In the method, as the probe moves from collection location to collection location, a data matrix at a prior collection location is gradually filled in as the probe moves to subsequent collection locations. In certain embodiments physical scanning of a probe with few elements is replaced by electronically scanning using an array with many elements.