Please provide some reference on Voronoi and Delaunay decomposition which is mathematically written. I mean I can find several texts or links on this written for computer science students without any mathematical theorems and 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 delonauy in the paper of Oda seshadri. But they are briefly written. I wanted some elaborate article on those basic materials.