In this article we introduce two classes of estimators of the intensity (i.e. mean length per unit of area) of a stationary planar fibre process and we study their asymptotic properties when the sample of fibres is ``enriched'''' by enlarging the window of observation. The estimators are based on counting the points of intersection of the fibre process with another test fibre process, satisfying suitable regularity conditions; the test process can be simulated and overlapped to a digital image of the fibre process under study. Estimators are applied to study the geometric structure of blood vessels generated on a mouse cornea by a simulated tumor.
Estimators of the intensity of stationary planar fibre processes / A. Micheletti, P.M.V. Rancoita - In: Stereology and Image Analysis, ECS10. Proceedings of the 10th European Congress of ISS / [a cura di] V. Capasso, G. Aletti, A. Micheletti. - Bologna : Esculapio Editore, 2009. - ISBN 978-88-7488-310-3. (( Intervento presentato al 10. convegno ECS10 - European congress of stereology and image analysis tenutosi a Milano nel 2009.
Estimators of the intensity of stationary planar fibre processes
A. MichelettiPrimo
;P.M.V. RancoitaUltimo
2009
Abstract
In this article we introduce two classes of estimators of the intensity (i.e. mean length per unit of area) of a stationary planar fibre process and we study their asymptotic properties when the sample of fibres is ``enriched'''' by enlarging the window of observation. The estimators are based on counting the points of intersection of the fibre process with another test fibre process, satisfying suitable regularity conditions; the test process can be simulated and overlapped to a digital image of the fibre process under study. Estimators are applied to study the geometric structure of blood vessels generated on a mouse cornea by a simulated tumor.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
