2024-03-29T12:29:55Zhttps://repositori.uji.es/oai/requestoai:repositori.uji.es:10234/1584852021-07-13T14:30:42Zcom_10234_43662com_10234_9col_10234_43643
Repositori UJI
author
Cruz-Orive, Luis M.
author
Gual-Arnau, Ximo
2016-04-13T13:17:10Z
2016-04-13T13:17:10Z
2015-09
CRUZ-ORIVE, LUIS M.; GUAL-ARNAU, Ximo. THE INVARIATOR DESIGN: AN UPDATE. Image Analysis & Stereology, 2015, vol. 34, no 3.
1854-51651580-3139
http://hdl.handle.net/10234/158485
http:\\dx.doi.org/doi:10.5566/ias.1324
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.
eng
The original publication is available at http://www.wise-t.com/ias Attribution-NonCommercial-NoDerivs 4.0 Spain
invariator
peak-and-valley formula
stereology
surface area
test line weighting
volume
The invariator Design: An update
info:eu-repo/semantics/article
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