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» Computing Multidimensional Persistence
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CORR
2008
Springer
70views Education» more  CORR 2008»
14 years 11 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
85
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ISVC
2005
Springer
15 years 5 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
15 years 5 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
15 years 3 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
15 years 3 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...