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...
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...
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...
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...
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...