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Books > Science & Mathematics > Mathematics > Probability & statistics
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Morphological Models of Random Structures (Hardcover, 1st ed. 2021)
Loot Price: R5,853
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Morphological Models of Random Structures (Hardcover, 1st ed. 2021)
Series: Interdisciplinary Applied Mathematics, 53
Expected to ship within 10 - 15 working days
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This book covers methods of Mathematical Morphology to model and
simulate random sets and functions (scalar and multivariate). The
introduced models concern many physical situations in heterogeneous
media, where a probabilistic approach is required, like fracture
statistics of materials, scaling up of permeability in porous
media, electron microscopy images (including multispectral images),
rough surfaces, multi-component composites, biological tissues,
textures for image coding and synthesis. The common feature of
these random structures is their domain of definition in n
dimensions, requiring more general models than standard Stochastic
Processes.The main topics of the book cover an introduction to the
theory of random sets, random space tessellations, Boolean random
sets and functions, space-time random sets and functions (Dead
Leaves, Sequential Alternate models, Reaction-Diffusion),
prediction of effective properties of random media, and
probabilistic fracture theories.
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