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» Compactness in locales and in formal topology
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CCA
2005
Springer
15 years 3 months ago
The Dedekind Reals in Abstract Stone Duality
kind Reals in Abstract Stone Duality Andrej Bauer and Paul Taylor 3 June 2009 Stone Duality (ASD) is a direct axiomatisation of general topology, in contrast to the traditional an...
Andrej Bauer, Paul Taylor 0002
SIGGRAPH
1995
ACM
15 years 1 months ago
Modeling surfaces of arbitrary topology using manifolds
We describe an extension of B-splines to surfacesof arbitrary topology, including arbitrary boundaries. The technique inherits many of the properties of B-splines: local control, ...
Cindy Grimm, John F. Hughes
ICCV
2011
IEEE
13 years 9 months ago
Robust Topological Features for Deformation Invariant Image Matching
Local photometric descriptors are a crucial low level component of numerous computer vision algorithms. In practice, these descriptors are constructed to be invariant to a class o...
Edgar Lobaton, Ramanarayan Vasudevan, Ron Alterovi...
SMI
2007
IEEE
129views Image Analysis» more  SMI 2007»
15 years 3 months ago
Localized Homology
In this paper, we introduce localized homology, a theory for finding local geometric descriptions for topological attributes. Given a space and a cover of subspaces, we construct...
Afra Zomorodian, Gunnar Carlsson
HYBRID
2007
Springer
15 years 1 months ago
Solving Coverage Problems with Embedded Graph Grammars
We show how Embedded Graph Grammars (EGGs) are used to specify local interaction rules between mobile robots in a natural manner. This formalism allows us to treat local network to...
John-Michael McNew, Eric Klavins, Magnus Egerstedt