On the Dimension of Bivariate Spline Space S31(Δ)

Abstract

In the paper the problem of determining the dimension of the bivariate spline space S 1 3 ( ) is considered. It is shown that for a large class of triangulations the dimension of the spline space is equal to the Schumaker's lower bound. An algorithm is presented, which decides if a given triangulation belongs to such a class.