Modelling point patterns with linear structures

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Abstract

Many observed spatial point patterns contain points placed roughly on line segments. Point patterns exhibiting such structures can be found for example in archaeology (locations of bronze age graves in Denmark) and geography (locations of mountain tops). We consider a particular class of point processes whose realizations contain such linear structures. Such a point process is constructed sequentially by placing one point at a time.

The points are placed in such a way that new points are often placed close to previously placed points, and the points form roughly line shaped structures. We consider simulations of this model and compare with real data.

Original languageEnglish
Title of host publicationStereology and Image Analysis, Ecs10 : Proceedings of the 10th European Congress of ISS
EditorsV. Capasso et al.
PublisherESCULAPIO Pub. Co
Publication date2009
Pages273-278
ISBN (Print)978-88-7488-310-3
Publication statusPublished - 2009
EventEuropean Congress of ISS, Ecs10 - Milan, Italy
Duration: 22 Jun 200926 Jun 2009
Conference number: 10

Conference

ConferenceEuropean Congress of ISS, Ecs10
Number10
Country/TerritoryItaly
CityMilan
Period22/06/200926/06/2009
SeriesThe MIRIAM Project Series (Milan Research Centre for Industrial and Applied Mathematics)
Number4

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