122 KB0 KB200020242009Thäle, Christophštevilka:2letnik:288 stranistr. 69-76ISSN:1580-3139COBISSID:25747929URN:URN:NBN:SI:doc-0PKXK1I0enDruštvo za stereologijo in kvantitativno analizo slike, Medicinska fakultetaImage analysis and stereologyanaliza slikstohastična geometrijaverjetnostMoments of the length of line segments in homogeneous planar stit tesselations|Homogeneous planar tessellations stable under iteration (STIT tessellations) are considered. Using recent results about the joint distribution of directionand length of the typical I-, K- and J-segment we prove closed formulas for the first, second and higher moments of the length of these segments given their direction. This especially leads to themean values and variances of these quantities andmean value relations as well as general moment relationships. Moreover, the relation between these mean values and certain conditional mean values (and also higher moments) is discussed. The results are also illustrated for several examplesTEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaDruštvo za stereologijo in kvantitativno analizo slike