In this paper, the computerised acoustic attenuation tomography imaging has been analysed, implemented and then performed for non destructive testing of a stone masonry. The tomography implies that a ill posed linear equations system has to be solved, in order to determine the attenuation distribution inside the tested structure, thus highlighting the presence of anomalies. The algebraic problem of the attenuation tomography inversion has been deepened, and the solving algorithm has been numerically developed. The entire process has been implemented in an automated procedure that allows the user to easily obtain a map of the attenuation distribution in the tomographic section of the object.