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The X-ray diffraction topograph may be considered as a mapping of a crystal region onto a photographic film or plate. Such a mapping can be described mathematically as a point transformation on a manifold:
where majuscules refer to the crystal and minuscules to the topographic image. When the topographic image is distorted because of the diffraction camera geometry, this distortion can be analyzed by utilizing the principles of differential geometry. A procedure for extracting the true spatial configuration from the distorted image is discussed and a specific application presented.
