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» Formal topology and domains
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AMAI
2000
Springer
14 years 2 months ago
Using topology for spatial reasoning
Several formalisms have been proposed for qualitative reasoning about regions and their topological relations in space. These formalisms, based on pairwise relations, do not allow...
Boi Faltings
DLT
2009
13 years 7 months ago
Closures in Formal Languages and Kuratowski's Theorem
A famous theorem of Kuratowski states that, in a topological space, at most 14 distinct sets can be produced by repeatedly applying the operations of closure and complement to a gi...
Janusz A. Brzozowski, Elyot Grant, Jeffrey Shallit
MICCAI
2005
Springer
14 years 10 months ago
Topology Correction Using Fast Marching Methods and Its Application to Brain Segmentation
We present here a new method for correcting the topology of objects segmented from medical images. Whereas previous techniques alter a surface obtained from the hard segmentation o...
Pierre-Louis Bazin, Dzung L. Pham
SAS
2009
Springer
148views Formal Methods» more  SAS 2009»
14 years 10 months ago
Abstract Interpretation from a Topological Perspective
Interpretation from a Topological Perspective David A. Schmidt Kansas State University, Manhattan, Kansas, USA Abstract. Topology is the study of property sets (open sets) and cont...
David A. Schmidt
JAIR
2011
173views more  JAIR 2011»
13 years 22 days ago
Analyzing Search Topology Without Running Any Search: On the Connection Between Causal Graphs and h+
The ignoring delete lists relaxation is of paramount importance for both satisficing and optimal planning. In earlier work, it was observed that the optimal relaxation heuristic ...
J. Hoffmann