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Chapitre D'ouvrage Année : 2021

Sequential Cox Boolean and Conditional Dead Leaves Models

Dominique Jeulin

Résumé

New versions of the Boolean RACS and RF, as well as the Dead Leaves random tessellations and Color Dead Leaves are obtained by imposing conditions on the choice of primary grains and primary functions, depending on the location of sequential Poisson points. These models are iteratively generated by a time sequence of Cox Processes. Their probabilistic properties and simplified closed-form approximations are derived. Some simulations illustrate the models.
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Dates et versions

hal-04086717 , version 1 (02-05-2023)

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Dominique Jeulin. Sequential Cox Boolean and Conditional Dead Leaves Models. Morphological Models of Random Structures, 53, Springer International Publishing, pp.419-486, 2021, Interdisciplinary Applied Mathematics, ⟨10.1007/978-3-030-75452-5_12⟩. ⟨hal-04086717⟩
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