About 10,000 muons reach every square meter of the Earthıs surface a minute; these charged particles are produced as by-products of primary cosmic rays colliding with air molecules in the upper atmosphere, and they form the hard component of secondary cosmic rays. Traveling at relativistic speeds, muons can penetrate tens of meters into rocks and other matter before attenuating. Most of interactions cause just minor deflections in the path of the muon. We can use measurements of muon trajectories before and after they pass through an object to estimate the object properties. We measure the sum effect of multiple deflections and infer properties of the material after collecting enough statistical information. This technique is especially effective for detection of hidden chunks of high-Z materials, including SNM. Soft component of secondary cosmic rays is composed of electrons and soft muons, which can be more easily attenuated. Therefore, soft component attenuation provides us with another information source, which can be used for more effective radiography. Our goal is to use this information to augment muon scattering and obtain better knowledge of objects. This may allow us to detect not just nuclear materials, but other possible threats as well, such as explosives. We discuss, how scattering and stopping can be combined together within framework of image reconstruction.