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Shape is a key property of sedimentary particles, providing information on provenance, transport history and depositional environment. However, the usefulness of shape data has been constrained by the absence of a satisfactory definition of the mean shape for a sample of particles. Such a definition is proposed, and used to develop confidence regions for the population mean shape using both parametric (theoretical) and computational methods. The benefits of the methods presented are demonstrated with reference to a case study.
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