The work included the achievement of four major objectives. First, the novel data analysis approach was successfully applied to edge-illumination, demonstrating that the extended contrast modalities were in fact complementary. Second, the theoretical understanding was advanced, which allows a quantitative over a mere qualitative interpretation of the available x-ray scattering contrast in terms of the sample's micro-structure. Third, this new understanding was applied to different powders, which resulted in one of the first quantitative measurements of its kind. Last, the new approach was applied to the differentiation between a healthy and a diseased mouse lung (see image), which lead to an easy distinction between those two groups with unprecedented low radiation doses.