TWO GENERALIZATIONS OF AN INTERPOLANT BASED ON VORONOI DIAGRAMS
Hisamoto Hiyoshi, Kōkichi Sugihara · International Journal of Shape Modeling · 1999
Recently, the authors found an interpolant using Voronoi diagrams that differs from Sibson's interpolant. This paper generalizes our interpolant in two directions: one is to general-dimensional data, and the other is to data distributed continuously on curves. The Minkowski's theorem is used as the basic principle in generalization.