We prove that the dimension of trivariate tensor-product spline space of tri-degree (m,m,m) with maximal order of smoothness over a threedimensional domain coincides with the number of tensor-productâ€¦ (More)

In this paper we propose a strategy for generating consistent hierarchical Tâ€“meshes which allow local refinement and offer a way to obtain spline basis functions with highest order smoothnessâ€¦ (More)

In this paper we consider spaces of bivariate splines of biâ€“degree (m,n) with maximal order of smoothness over domains associated to a twoâ€“dimensional grid. We define admissible classes of domainsâ€¦ (More)

Univariate generalized splines are smooth piecewise functions with sections in certain extended Tchebycheff spaces. They are a natural extension of univariate (algebraic) polynomial splines, andâ€¦ (More)

We introduce an adaptive scattered data fitting scheme as extension of local least squares approximations to hierarchical spline spaces. To efficiently deal with non-trivial data configurations, theâ€¦ (More)

We present a data reduction scheme for efficient surface storage, by introducing a coefficientâ€“based least squares spline operator that does not require any pointwise evaluation to approximate (in aâ€¦ (More)