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» Compactness in Topology and Computation
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139
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CAGD
2008
99views more  CAGD 2008»
15 years 2 months ago
Topology and arrangement computation of semi-algebraic planar curves
We describe a new subdivision method to efficiently compute the topology and the arrangement of implicit planar curves. We emphasize that the output topology and arrangement are g...
Lionel Alberti, Bernard Mourrain, Julien Wintz
CSL
2005
Springer
15 years 7 months ago
Computing with Sequences, Weak Topologies and the Axiom of Choice
We study computability on sequence spaces, as they are used in functional analysis. It is known that non-separable normed spaces cannot be admissibly represented on Turing machines...
Vasco Brattka, Matthias Schröder
SMI
1999
IEEE
111views Image Analysis» more  SMI 1999»
15 years 6 months ago
Computational Topology for Shape Modeling
This paper expands the role of the new field of computational topology by surveying methods for incorporating connectedness in shape modeling. Two geometric representations in par...
John C. Hart
99
Voted
SMI
2005
IEEE
15 years 7 months ago
Computational Topology for Reconstruction of Surfaces with Boundary: Integrating Experiments and Theory
We report new techniques and theory in computational topology for reconstructing surfaces with boundary. This complements and extends known techniques for surfaces without boundar...
K. Abe, Justin Bisceglio, Thomas J. Peters, Alexan...
97
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ENTCS
2006
156views more  ENTCS 2006»
15 years 1 months ago
Computational Effects in Topological Domain Theory
This paper contributes towards establishing the category QCB, of topological quotients of countably based spaces, and its subcategory TP, of topological predomains, as a flexible ...
Ingo Battenfeld