Author/Editor		Cruz-Orive, Luis M
Title		The pivotal tessellation
Type		članek
Source		Image Anal Stereol
Vol. and No.		Letnik 28, št. 2
Publication year		2009
Volume		str. 63-7
Language		eng
Abstract		The tessellation studied here is motivated by some stereological applications of a new expression for the motion invariant density of straight lines in R3. The term ‘pivotal’ stems from the fact that the tessellation is constructed within a plane which is isotropic through a fixed, ‘pivotal’ origin. Consider either a stationary point process, or a stationary random lattice of points in that plane. Through each point event draw a straight line which is perpendicular to the axis determined by the origin and the point event. The union of all such lines (called p-lines) constitutes the mentioned tessellation. We concentrate on the pivotal tessellation based on a stationary and isotropic planar Poisson point process; we show that this tessellation is not stationary.
Descriptors		IMAGE INTERPRETATION, COMPUTER-ASSISTED POISSON DISTRIBUTION