Please provide some references on Voronoi and Delaunay decompositions which is mathematically written. I mean I can find several texts or links on this written for computer science students without any mathematical theorems etc. It would be great if there is some text or article with connection to toric varieties.

There is a lot of background material on Voronoi and Delaunay in the paper of Oda and Seshadri. But it is briefly written. I wanted some elaborate article on this basic material.