Many objects in the real world can be modeled as fibres (i.e. lines in 2D or 3D space). If the process is invariant under translations, one of its characteristics is the mean length per unit area (called intensity). Under suitable conditions, two estimators of the intensity have been shown to be asymptotically normal when the sample is “enriched” by enlarging the window of observation. We discuss the applicability of these estimators in practice, by using both simulated and real images of fibre processes.
Estimators of the intensity of fibre processes and applications / P.M.V. Rancoita, A. Micheletti - In: Progress in industrial mathematics at ECMI 2010 / [a cura di] M. Günther, A. Bartel, M. Brunk, S. Schöps, M. Striebel. - [s.l] : Springer, 2012. - ISBN 978-3-642-25099-6. - pp. 529-535 (( convegno ECMI 2010 tenutosi a Wuppertal nel 2010 [10.1007/978-3-642-25100-9_61].
Estimators of the intensity of fibre processes and applications
P.M.V. RancoitaPrimo
;A. MichelettiUltimo
2012
Abstract
Many objects in the real world can be modeled as fibres (i.e. lines in 2D or 3D space). If the process is invariant under translations, one of its characteristics is the mean length per unit area (called intensity). Under suitable conditions, two estimators of the intensity have been shown to be asymptotically normal when the sample is “enriched” by enlarging the window of observation. We discuss the applicability of these estimators in practice, by using both simulated and real images of fibre processes.
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