A quantitative imaging method and system for surrounding a target region with a plurality of transducers such that an acoustic pulse transmitted from one of the transducers may be received as pulse-derived temporal data at the receiving transducers. A controller operably connects to the transducers for selecting different transmission locations around the target region from where acoustic pulses may be transmitted. A signal processor connected to the transducers operates to remove from the received pulse-derived data of each receiving transducer a record of the pulse directly transmitted to the receiving transducer. And the pulse-derived temporal data modified in this manner is used by the data processor to determine preliminary values for a compressibility term and a density term for each point of the target region. The preliminary values for the respective compressibility term and density term obtained from the different transmission locations, are then averaged by the data processor to ultimately produce quantitative image maps of compressibility and density of the target region.
 The United States Government has rights in this invention pursuant to Contract No. W-7405-ENG-48 between the United States Department of Energy and the University of California for the operation of Lawrence Livermore National Laboratory.