A method (600, 900) of imaging an imaging region, the method comprising: employing an acoustic transducer array to produce image data for the imaging region, wherein there are one or more obstructions between the acoustic transducer array and at least a portion of the imaging region; exploiting redundancy in transmit/receive pair paths among the acoustic transducers in the acoustic transducer array, in order to compensate for missing image data of the imaging region due to the one or more obstructions, by (i) determining an inverse filter for the acoustic transducer array, wherein when the inverse filter is multiplied by an angular spectrum for the acoustic transducer array with respect to the imaging region in the presence of the one or more obstructions, it produces an ideal angular spectrum for the acoustic transducer array with respect to the imaging region which would exist in the absence of the one or more obstructions, wherein the inverse filter is determined by dividing an ideal angular spectrum for the acoustic transducer array with respect to the imaging region which would exist in the absence of the one or more obstructions by an angular spectrum for the acoustic transducer array with respect to the imaging region in the presence of the one or more obstructions; (ii) weighting a signal produced by each transmit/receive pair of elements in the acoustic transducer array by a value of the inverse filter corresponding to the angular frequency of the transmit/receive pair; and producing an image of the imaging region from the compensated image data by summing the weighted signals of all the transmit receive pairs. employing an acoustic transducer array to produce image data for the imaging region, wherein there are one or more obstructions between the acoustic transducer array and at least a portion of the imaging region; exploiting redundancy in transmit/receive pair paths among the acoustic transducers in the acoustic transducer array, in order to compensate for missing image data of the imaging region due to the one or more obstructions, by (i) determining an inverse filter for the acoustic transducer array, wherein when the inverse filter is multiplied by an angular spectrum for the acoustic transducer array with respect to the imaging region in the presence of the one or more obstructions, it produces an ideal angular spectrum for the acoustic transducer array with respect to the imaging region which would exist in the absence of the one or more obstructions, wherein the inverse filter is determined by dividing an ideal angular spectrum for the acoustic transducer array with respect to the imaging region which would exist in the absence of the one or more obstructions by an angular spectrum for the acoustic transducer array with respect to the imaging region in the presence of the one or more obstructions; (ii) weighting a signal produced by each transmit/receive pair of elements in the acoustic transducer array by a value of the inverse filter corresponding to the angular frequency of the transmit/receive pair; and (i) determining an inverse filter for the acoustic transducer array, wherein when the inverse filter is multiplied by an angular spectrum for the acoustic transducer array with respect to the imaging region in the presence of the one or more obstructions, it produces an ideal angular spectrum for the acoustic transducer array with respect to the imaging region which would exist in the absence of the one or more obstructions, wherein the inverse filter is determined by dividing an ideal angular spectrum for the acoustic transducer array with respect to the imaging region which would exist in the absence of the one or more obstructions by an angular spectrum for the acoustic transducer array with respect to the imaging region in the presence of the one or more obstructions; (ii) weighting a signal produced by each transmit/receive pair of elements in the acoustic transducer array by a value of the inverse filter corresponding to the angular frequency of the transmit/receive pair; and producing an image of the imaging region from the compensated image data by summing the weighted signals of all the transmit receive pairs.