This paper describes an algebraic construction of bivariate interpolatory subdivision masks induced by three-directional box spline subdivision schemes. Specifically, given a three-directional box spline, we address the problem of defining a corresponding interpolatory subdivision scheme by constructing an appropriate correction mask to convolve with the three-directional box spline mask. The p...

We give two different possibilities for subdivision of Powell–Sabin spline surfaces on uniform triangulations. In the first case, dyadic subdivision, a new vertex is introduced on each edge between two old vertices. In the second case, p 3–subdivision, a new vertex is introduced in the center of each triangle of the triangulation. We give subdivision rules to find the new control points of the ...

Stationary interpolatory subdivision schemes which preserve shape properties such as convexity or monotonicity are constructed. The schemes are rational in the data and generate limit functions that are at least C 2. The emphasis is on a class of six-point convexity preserving subdivision schemes that generate C 2 limit functions. In addition, a class of six-point monotonicity preserving scheme...

Overview The integration of land administration processes and the collaboration of land agencies are considered essential for the effective delivery of developable land for housing production. However, in most countries, housing and land management policies are usually split between multiple government agencies. The background literature suggests that the activities of governments’ agencies tha...