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JGAA
2002
74views more  JGAA 2002»
13 years 9 months ago
Realization of Posets
We prove a very general representation theorem for posets and, as a corollary, deduce that any abstract simplicial complex has a geometric realization in the Euclidean space of di...
Patrice Ossona de Mendez
DCG
2006
68views more  DCG 2006»
13 years 9 months ago
The Stirling Polynomial of a Simplicial Complex
We introduce a new encoding of the face numbers of a simplicial complex, its Stirling polynomial, that has a simple expression obtained by multiplying each face number with an app...
Gábor Hetyei
FSS
2010
111views more  FSS 2010»
13 years 8 months ago
The geometry of consonant belief functions: Simplicial complexes of necessity measures
In this paper we extend the geometric approach to the theory of evidence in order to include the class of necessity measures, represented on a finite domain of “frame” by con...
Fabio Cuzzolin
DGCI
2011
Springer
13 years 1 months ago
Some Morphological Operators on Simplicial Complex Spaces
In this work, we propose a framework that allows to build morphological operators for processing and filtering objects defined on t) simplicial complex spaces. We illustrate with...
Fabio Dias, Jean Cousty, Laurent Najman