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» Computing Multidimensional Persistence
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CORR
2008
Springer
70views Education» more  CORR 2008»
13 years 4 months ago
Necessary Conditions for Discontinuities of Multidimensional Size Functions
Some new results about multidimensional Topological Persistence are presented, proving that the discontinuity points of a k-dimensional size function are necessarily related to the...
Andrea Cerri, Patrizio Frosini
ISVC
2005
Springer
13 years 10 months ago
Hifocon: Object and Dimensional Coherence and Correlation in Multidimensional Visualization
In any multidimensional visualization, some information has to be compromised when projecting multidimensional data to two- or three-dimensional space. We introduce the concepts of...
Soon Tee Teoh, Kwan-Liu Ma
COMPGEOM
2004
ACM
13 years 10 months ago
Computing persistent homology
We show that the persistent homology of a filtered ddimensional simplicial complex is simply the standard homology of a particular graded module over a polynomial ring. Our analy...
Afra Zomorodian, Gunnar Carlsson
OOPSLA
1999
Springer
13 years 9 months ago
Mostly-copying Reachability-based Orthogonal Persistence
We describe how reachability-based orthogonal persistence can be supported even in uncooperative implementations of languages such as C++ and Modula-3, and without modification t...
Antony L. Hosking, Jiawan Chen
OOIS
1997
Springer
13 years 9 months ago
Object-Oriented Design of a Database Engine for Multidimensional Discrete Data
Multidimensional discrete data (MDD), i.e. arrays of arbitrary size, dimension and base type, occur in a variety of application elds. The object-oriented DBMS RasDaMan2 provides d...
Paula Furtado, Roland Ritsch, Norbert Widmann, Pet...