NEW MEAN VALUES FOR HOMOGENEOUS SPATIAL TESSELLATIONS THAT ARE STABLE UNDER ITERATION
2010 ◽
Vol 29
(3)
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pp. 143
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Keyword(s):
Homogeneous random tessellations in the 3-dimensional Euclidean space are considered that are stable under iteration – STIT tessellations. A classification of vertices, segments and flats is introduced and a couple of new metric and topological mean values for them and for the typical cell are calculated. They are illustrated by two examples, the isotropic and the cuboid case. Several extremum problems for these mean values are solved with the help of techniques from convex geometry by introducing an associated zonoid for STIT tessellations.
2007 ◽
Vol 28
(3)
◽
pp. 685-704
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1991 ◽
Vol 31
(2)
◽
pp. 181-191
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2019 ◽
Vol 36
(2)
◽
pp. 245-250
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1967 ◽
Vol 30
◽
pp. 121-127
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Keyword(s):
2004 ◽
Vol 25
(7)
◽
pp. 1039-1058
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2009 ◽
Vol 12
(2-5)
◽
pp. 333-342
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Keyword(s):
2006 ◽
Vol 21
(1)
◽
pp. 165-175
Keyword(s):