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Computational topology
Known as:
Algorithmic topology
Algorithmic topology, or computational topology, is a subfield of topology with an overlap with areas of computer science, in particular…
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Related topics
Related topics
22 relations
Alexander polynomial
Algorithm
Computable topology
Computational complexity theory
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Broader (1)
Computational science
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2013
Highly Cited
2013
Alpha, Betti and the Megaparsec Universe: On the Topology of the Cosmic Web
R. Weygaert
,
G. Vegter
,
+13 authors
M. Teillaud
IFIP International Conference on Theoretical…
2013
Corpus ID: 19000988
We study the topology of the Megaparsec Cosmic Web in terms of the scale-dependent Betti numbers, which formalize the topological…
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2011
2011
Minimax rates for homology inference
Sivaraman Balakrishnan
,
A. Rinaldo
,
Don Sheehy
,
Aarti Singh
,
L. Wasserman
International Conference on Artificial…
2011
Corpus ID: 2589375
Often, high dimensional data lie close to a low-dimensional submanifold and it is of interest to understand the geometry of these…
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2011
2011
Comment on ‘Lost in translation: topological singularities in group field theory’
M. Smerlak
2011
Corpus ID: 119592766
Gurau argued in (Gurau R 2010 Class. Quantum Grav. 27 235023) that the gluing spaces arising as Feynman diagrams of three…
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Review
2011
Review
2011
Geography- and infrastructure-aware topology design methodology for broadband access networks (FTTx)
A. Mitcsenkov
,
G. Paksy
,
T. Cinkler
Photonic network communications
2011
Corpus ID: 33279784
We present a topology design methodology for broadband (FTTx) access networks. The calculations are based on real geographic data…
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Review
2009
Review
2009
Algebraic topology for computer vision
D. Freedman
,
Chao Chen
,
D. Freedman
2009
Corpus ID: 12533445
© Algebraic topology for computer vision Daniel Freedman, Chao Chen HP Laboratories HPL-2009-375 algebraic topology, persistent…
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2006
2006
Using interval arithmetic to prove that a set is path-connected
N. Delanoue
,
L. Jaulin
,
Bertrand Cottenceau
Theoretical Computer Science
2006
Corpus ID: 12165217
2001
2001
On continuity of the design-to-state mappings for trusses with variable topology
J. Petersson
2001
Corpus ID: 17291872
Review
1999
Review
1999
Computational topology for shape modeling
J. Hart
Proceedings Shape Modeling International '99…
1999
Corpus ID: 16503834
Expands the role of the new field of computational topology by surveying methods for incorporating connectedness in shape…
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1998
1998
Computing connectedness: An exercise in computational topology
V. Robins
,
J. Meiss
,
E. Bradley
1998
Corpus ID: 17024878
We reformulate the notion of connectedness for compact metric spaces in a manner that may be implemented computationally. In…
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Highly Cited
1998
Highly Cited
1998
Computing homology groups of simplicial complexes in R3
T. Dey
,
S. Guha
JACM
1998
Corpus ID: 15545571
Recent developments in analyzing molecular structures and representing solid models using simplicial complexes have further…
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