title: The Conneulor: unbiased estimation of connectivity using physical disectors under projection.
abstract: The Euler number and the connectivity of an arbitrary object is defined, and it is illustrated why the connectivity of an n-dimensional object cannot be estimated in an (n-1)-dimensional section. The disector--principle for 3-D counting of the Euler--events is illustrated in cancellous bone. The correct handling for unbiased counting of events at artificial edges is outlined. A nomogram for predicting the precision of an estimate is provided.
authors.affiliation: Stereological Research Laboratory, University of Aarhus, Denmark.
authors.forename: H J
authors.initials: HJ
authors.lastname: Gundersen
authors.forename: R W
authors.initials: RW
authors.lastname: Boyce
authors.forename: J R
authors.initials: JR
authors.lastname: Nyengaard
authors.forename: A
authors.initials: A
authors.lastname: Odgaard
mesh_terms: D001842:Bone and Bones / Q000033:anatomy & histology*; D006801:Humans; D015233:Models, Statistical