An apparatus according to the present invention includes a processor processing characteristic distribution information derived from an acoustic wave generated from an object and which indicates specific values at a plurality of positions inside the object, wherein the processor: sets a first position of interest; acquires first weight distribution information which is related to a plurality of positions including the first position of interest; and acquires a substitute value for a specific value at the first position of interest using the first weight distribution information, the specific value at the first position of interest, and a specific value at a position that differs from the first position of interest among the plurality of positions.