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 examples.

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URN

URN:NBN:SI:DOC-0PKXK1I0

COBISSID

25747929

Added

16.04.2011

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Citation

APA:

Thäle, Christoph (2009). Moments of the length of line segments in homogeneous planar stit tesselations. Image analysis and stereology, volume 28, issue 2, str. 69-76. URN:NBN:SI:DOC-0PKXK1I0 from http://www.dlib.si

MLA:

Thäle, Christoph. "Moments of the length of line segments in homogeneous planar stit tesselations." Image analysis and stereology volume 28. issue 2 (2009) str. 69-76.
<http://www.dlib.si/?URN=URN:NBN:SI:DOC-0PKXK1I0>

Image analysis & stereology
2000-
(Assembly record)