Disclosed is a breast imaging system including a compressive sensing absorber (CSA) including a set of materials distributed in a medium to exhibit a random pattern of partial gamma ray absorption over different positions of the set of materials such that gamma ray emission from a breast traveling through the CSA is partially absorbed and is partially scattered by the random pattern to produce an output gamma ray radiation pattern having gamma rays in a range of different directions, a gamma imaging device configured to collect gamma rays from the output gamma ray radiation pattern produced by the CSA to convert the collected gamma rays of the breast gamma ray emission from the breast into imaging signals representing an image of the breast, and an imaging processing device configured to reconstruct images in 2D or 3D based on a spatial distribution of the collected gamma rays from the breast.