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Journal Article

LINE SEGMENTS IN THE ISOTROPIC PLANAR STIT TESSELLATION

RICHARD COWAN
Advances in Applied Probability
Vol. 45, No. 2 (JUNE 2013), pp. 295-311
Stable URL: http://www.jstor.org/stable/43563302
Page Count: 17
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LINE SEGMENTS IN THE ISOTROPIC PLANAR STIT TESSELLATION
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Abstract

This paper presents a powerful characterisation for the structure of internal vertices of the STIT's I-segments. The characterisation allows certain mathematical analyses to be performed easily. We demonstrate this by deriving new results for various topological properties of the tessellation: for example, the numbers of various types of edge and cell side within the typical I-segment. The characterisation also provides a tool for the calculations of metric properties of the tessellation; many new length distributions and frame-coverage results are given.

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