JMLR
2012
11 years 7 months ago
2012
Often, high dimensional data lie close to a low-dimensional submanifold and it is of interest to understand the geometry of these submanifolds. The homology groups of a manifold a...
JCSS
2000
13 years 4 months ago
2000
The paper investigates the use of topological annotations (called topological invariants) to answer topological queries in spatial databases. The focus is on the translation of to...
CORR
2007
Springer
13 years 4 months ago
2007
Springer
Abstract. We give a survey of algorithms for computing topological invariants of semi-algebraic sets with special emphasis on the more recent developments in designing algorithms f...
EKAW
2006
Springer
13 years 6 months ago
2006
Springer
Abstract. Qualitative reasoning uses a limited set of relevant distinctions of the domain to allow a flexible way of representing and reasoning about it. This work presents a conce...
DGCI
2005
Springer
13 years 10 months ago
2005
Springer
Topological invariants are extremely useful in many applications related to digital imaging and geometric modeling, and homology is a classical one, which has not yet been fully e...