Smooth local coordinates have been proposed by Hiyoshi and Sugihara 2000 to improve the classical Sibson’s and Laplace coordinates. These smooth local coordinates are computed by integrating geometric quantities over weights in the power diagram. In this paper we describe how to efficiently implement the Voronoi based
local coordinates. The globally
interpolant that Hiyoshi and Sugihara presented in 2004 is then compared to Sibson’s and Farin’s
interpolants when applied to scattered data interpolation.