Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Viola Weiss"'
Autor:
Richard Cowan, Viola Weiss
Publikováno v:
Image Analysis and Stereology, Vol 37, Iss 1, Pp 83-98 (2018)
Planar tessellation structures occur in material science, geology (in rock formations), physics (of foams, for example), biology (especially in epithelial studies) and in other sciences. Their mathematical and statistical study has many aspects to co
Externí odkaz:
https://doaj.org/article/ffbcd1d3c45c4195a4a9e12954cb0eae
Publikováno v:
Image Analysis and Stereology, Vol 34, Iss 2, Pp 87-100 (2015)
A new class of non facet-to-facet random tessellations in three-dimensional space is introduced -- the so-called column tessellations. The spatial construction is based on a stationary planar tessellation; each cell of the spatial tessellation is a p
Externí odkaz:
https://doaj.org/article/464a60c5256c41b08947f09294dbced7
Publikováno v:
Image Analysis and Stereology, Vol 27, Iss 2, Pp 73-78 (2011)
This paper presents a model of random tessellations that reflect several features of crack pattern. There are already several theoretical results derivedwhich indicate that thismodel can be an appropriate referencemodel. Some potential applications a
Externí odkaz:
https://doaj.org/article/01ea644fdf184c8191be45c076957010
Autor:
Werner Nagel, Viola Weiss
Publikováno v:
Image Analysis and Stereology, Vol 27, Iss 1, Pp 29-37 (2011)
Recently (Nagel and Weiss, 2005), the class of homogeneous random tessellations that are stable under the operation of iteration (STIT) was introduced. In the present paper this model is reviewed and new results for the mean values of essential geome
Externí odkaz:
https://doaj.org/article/695577d1142745dcb34beb27483216b3
Publikováno v:
Image Analysis and Stereology, Vol 29, Iss 2, Pp 121-131 (2011)
For STIT tessellations – stationary tessellations that are stable under the operation iteration of tessellations – the second-ordermeasure of the edge system is studied. A result is that this measure coincides with that one of a Boolean segment p
Externí odkaz:
https://doaj.org/article/c0bd08b81ffd4c4d8135669923b6624c
Autor:
Christoph Thäle, Viola Weiss
Publikováno v:
Image Analysis and Stereology, Vol 29, Iss 3, Pp 143-157 (2010)
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 mea
Externí odkaz:
https://doaj.org/article/eea99aa07907490aa603141bcca61cff
Autor:
Werner Nagel, Viola Weiss
Publikováno v:
Image Analysis and Stereology, Vol 34, Iss 2 (2015)
Corrigendum of MEAN VALUES FOR HOMOGENEOUS STIT TESSELLATIONS IN 3D (2008 IMAGE ANAL STEREOL 27:29–37)
Externí odkaz:
https://doaj.org/article/240cf42a78e54c24aeeca8c1f66245ac
Autor:
Richard Cowan, Viola Weiss
Publikováno v:
Mathematische Nachrichten. 288:540-565
Tessellations of that use convex polyhedral cells to fill the space can be extremely complicated, especially if they are not “facet-to-facet”, that is, if the facets of a cell do not necessarily coincide with the facets of that cell's neighbours.
Autor:
Christoph Thäle, Viola Weiß
Publikováno v:
Discrete & Computational Geometry. 50:649-672
Spatially homogeneous random tessellations that are stable under iteration (nesting) in the \(3\)-dimensional Euclidean space are considered, so-called STIT tessellations. They arise as outcome of a space-time process of subsequent cell division and,
An analogue of the classical Mecke formula for Poisson point processes is proved for the class of space-time STIT tessellation processes. From this key identity the Markov property of a class of associated random processes is derived. This in turn is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::299b530c59d8016e0d2dc8d630bdbdea