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DEXAW
2000
IEEE
149views Database» more  DEXAW 2000»
14 years 2 months ago
On 3D Topological Relationships
This paper presents an integrated study on possible topological relationship between multidimensional simple objects in 0,1,2 and 3 D space. The formal categorisation of spatial r...
Sisi Zlatanova
CORR
2008
Springer
105views Education» more  CORR 2008»
13 years 10 months ago
A compact topology for sand automata
In this paper, we exhibit a strong relation between the sand automata configuration space and the cellular automata configuration space. This relation induces a compact topology f...
Alberto Dennunzio, Pierre Guillon, Benoît Ma...
FOCS
2007
IEEE
14 years 1 months ago
Inferring Local Homology from Sampled Stratified Spaces
We study the reconstruction of a stratified space from a possibly noisy point sample. Specifically, we use the vineyard of the distance function restricted to a 1-parameter family...
Paul Bendich, David Cohen-Steiner, Herbert Edelsbr...
COMPGEOM
2008
ACM
13 years 11 months ago
Reeb spaces of piecewise linear mappings
Generalizing the concept of a Reeb graph, the Reeb space of a multivariate continuous mapping identifies points of the domain that belong to a common component of the preimage of ...
Herbert Edelsbrunner, John Harer, Amit K. Patel
DAGSTUHL
2006
13 years 11 months ago
Enriched categories and models for spaces of dipaths
Partially ordered sets, causets, partially ordered spaces and their local counterparts are now often used to model systems in computer science and theoretical physics. The order mo...
Timothy Porter