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This tutorial provides an outline of how to describe orientations in 3D mathematically, focusing on the measurement of orientation distributions of crystals in polycrystalline material. Learn about the application of these concepts to X-ray diffraction and tomography, with particular emphasis on the recently developed method of texture tomography. Recorded during the thematic meeting "Foliations, birational geometry and applications" on February 10, 2025, at the Centre International de Rencontres Mathématiques in Marseille, France. The 40-minute presentation by Moritz Frewein offers valuable insights into texture analysis fundamentals. Access this video and other talks by mathematicians worldwide on CIRM's Audiovisual Mathematics Library, featuring chapter markers, keywords, abstracts, bibliographies, and multi-criteria search functionality.
