Journal of Applied Probability · 1984 · 19 citations · 7 references
EngineeringMaterials ScienceFormation EvaluationRock MechanicsSeparation ProcessesFracture CharacterizationFracture GeometryFracture MechanicsFracture PropagationRock FractureStatistical MechanicsConditional Probability ModelsCovariance Function ModelingFracture SurfacesLiberation DistributionLiberation ModelingLiberation PredictionParticle Size-liberation RelationshipsStereological Estimation
An index lying between 0 and 1 is presented to describe the degree of liberation (or separation) of one component of a particulate material. It is shown how the index is related to the covariance function of the material, the distribution of shapes and sizes of the particles and to the interaction between fracture surfaces and the structure of the material. The variation of the index with the extent of crushing is investigated, together with the problem of stereological estimation. The index is evaluated for some particular probability models.
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Image analysis and mathematical morphology
Computer Graphics and Image Processing · 1982 · 8.2K citations
Random Subdivisions of Space into Crystals
E. N. Gilbert · The Annals of Mathematical Statistics · 1962 · 412 citations · Full text
R. E. Miles · Advances in Applied Probability · 1972 · 149 citations