Abstract:
In this paper we propose an algorithm for automatic
transformation of a graph into a 3D Virtual World
and its Euclidean map, using the rectangular dualization
technique. The nodes of the initial graph are
transformed into rooms, the connecting arcs between
nodes determine which rooms have to be placed next
to each other and define the positions of the doors
connecting those rooms. The proposed algorithm is
general enough to be used for automatic generation
of 3D Virtual Worlds representation of any planar
graph, however, our research is particulary focused
on the automatic generation of 3D Electronic Institutions
from the Performative Structure graph.