Voronoi diagrams are very useful structures,
they represent distance relationships and growth phenomena.
Thus, it is not surprising to use Voronoi diagrams
to modelize crystals growth or the big objects
of the universe, and to observe them in natural objects
such as carapace turtle or neck of giraffe.
Voronoi diagrams are also data structures solving many
problems such as nearest neighbor search or motion planning.
Study of Voronoi diagrams, their mathematical properties,
their computation and their generalizations was and still is
a main subject in computational geometry.
Prisme project contributions deals with combinatorial and algorithmic
aspects, extension to non Euclidean metrics and applications
in shape reconstruction.

