Dynamic spatial data structures--the Voronoi approach

Voronoi diagrams have recently received attention as data structures containing significant information about the spatial adjacency of map objects. Despite their theoretical efficiency, batch construction techniques require complete rebuilding after each modification. Incremental Voronoi creation methods use processes such as insert, delete and move for points, and from these derive insertion and deletion of lines. With these tools a Voronoi spatial data structure may be maintained dynamically while the input data is being modified.