This paper proposes a two-scale approach for the description of fibrous materials from tomographic data. It operates at two scales: coarse scale to describe weaving patterns and fine scale to depict fiber layout within yarns. At both scales, the proposed approach starts with the segmentation of yarns and fibers. Then, the fibrous structure (fiber diameters, fiber and yarn orientations, fiber density within yarns) is described. The segmentation algorithms are applied to a chunk of a woven ceramic-matrix composite observed at yarn and fiber scales using tomographic data from the European synchrotron radiation facility. The fiber and yarn segmentation results allow investigation of intrayarn fiber layout. The analysis of intrayarn fiber density and orientations shows the effects of the weaving process on fiber organization, in particular fiber compaction or yarn shearing. These results pave the way toward a deeper analysis of such materials. Indeed, the data collected with the proposed methods are a key starting point for realistic image synthesis. Such images may in turn be used to validate the fiber and yarn segmentation algorithms. Besides, and above all, they will allow material behavior simulation, aiming at the evaluation of the material’s strengths and weaknesses inferred from its fibrous architecture.