Virtual sculpting enables the creation of computer models by emulating traditional sculpting. It can be implemented using spatial deformation, an interactive versatile modelling t...
—We study the topology of the Megaparsec Cosmic Web on the basis of the Alpha Shapes of the galaxy distribution. The simplicial complexes of the alpha shapes are used to determin...
Rien van de Weygaert, Erwin Platen, Gert Vegter, B...
We present a novel split and merge based method for dividing a given metric map into distinct regions, thus effectively creating a topological map on top of a metric one. The init...
We propose a computational model for analogy solving based on a topological formalism of representation. The source and the target analogs are represented as simplexes and the anal...
Abstract--We propose several algorithms for topology aggregation (TA) to effectively summarize large-scale networks. These TA techniques are shown to significantly better for path ...