Author/Editor		Cruz-Orive, Luis M.; Gual-Arnau, Ximo
Title		The invariator design: an update
Translated title		[Invariator-posodobitev]
Type		članek
Vol. and No.		Letnik 34, št. 3
Publication year		2015
Volume		str. 147-159
ISSN		1580-3139 - Image Analysis & Stereology online journal (Printed version).
Language		eng
Abstract		The invariator is a method to generate a test line within an isotropically oriented plane through a fixed point, in such a way that the test line is effectively motion invariant in three dimensional space. Generalizations exist for non Euclidean spaces. The invariator design is convenient to estimate surface area and volume simultaneously. In recent years a number of new results have appeared which call for an updated survey. We include two new estimators, namely the a posteriori weighting estimator for surface area and volume, and the peak-and-valley formula for surface area.
Keywords		invariator peak-and-valley formula stereology surface area test line weighting volume