Variances of length and surface area estimates by spatial grids: preliminary study

0345903 - FGÚ 2011 RIV SI eng J - Článek v odborném periodiku
Janáček, Jiří - Kubínová, Lucie
Variances of length and surface area estimates by spatial grids: preliminary study.
Image Analysis and Stereology. Roč. 29, č. 3 (2010), s. 45-52. ISSN 1580-3139
Grant CEP: GA AV ČR(CZ) IAA100110502
Výzkumný záměr: CEZ:AV0Z50110509
Klíčová slova: stereology * variance * 3D
Kód oboru RIV: BA - Obecná matematika

The formula relating the variance of the volume estimator with the object surface area and the spatial grid constant is recapitulated. The variance due to rotation and simple asymptotic formulas for the residual variance of estimates of selected model objects is calculated. Surface area estimates by multiple grids of parallel lines in 3D and of the variance of length estimates by periodic grids of planes or spheres in d-dimensional space are studied
Trvalý link: http://hdl.handle.net/11104/0187075