In designing dynamic situations such as cyberworlds, we the Incrementally Modular Abstraction Hierarchy (IMAH) to be an appropriate mathematical background to model dynamically ch...
Building on the work of Martinetz, Schulten and de Silva, Carlsson, we introduce a 2-parameter family of witness complexes and algorithms for constructing them. This family can be ...
Dominique Attali, Herbert Edelsbrunner, John Harer...
We consider simple digital curves in a 3D orthogonal grid as special polyhedrally bounded sets. These digital curves model digitized curves or arcs in three-dimensional euclidean ...
This paper introduces the universal mobile interface that allows users to navigate themselves into multiple heterogeneous digital cites with a single interface. The universal mobi...