AbstractThe paper analyses the convergence of sequences of control polygons produced by a binary subdivision scheme of the form
$$\begin{array}{*{20}c} {f_{2i}^{k + 1} = \sum\limits_{j = 0}^m {a_j… Expand

Publisher Summary Smooth or blending function interpolants, which match a given function and slopes on the boundary of a rectangle or a triangle, usually require that the cross derivative or twist… Expand

A vector valued interpolation scheme for a pentagon is described which is compatible with surface patches which have a rectangular domain of definition.Expand

Abstract Boolean sum smooth interpolation to boundary data on a triangle is described. Sufficient conditions are given so that the functions when pieced together form a C N−1 (Ω) function over a… Expand

Boolean sum interpolation theory is used to derive a polynomial interpolant which interpolates a function F E CN(T), and its derivatives of order N and less, on the boundary aT of a triangle T. A… Expand