Systems and methods which use penetrating radiation to obtain novel type of information about objects of interest. This information may be represented as novel type of image. In the present embodiments, penetrating radiation is directed through the object of interest. The attenuated radiation emerging from the object of interest is detected by at least one detector. A plurality of measurements is collected. At least one statistical parameter describing variations of the measurements may be calculated and used for reconstructing an image representing fluctuations of the attenuation of the penetrating radiation in the object of study. At least one other statistical parameter representing the mean attenuation image, the error of the fluctuation image, or the error of the mean attenuation image may also be calculated and used to reconstruct images of the object of interest.