A simple method for constructing almost interpolation sets in the case of existence of locally linearly independent systems of basis functions is presented. Various examples of such systems, including translates of box splines and nite-element splines, are considered.

Abstract This paper defines analysis-suitable T-splines for arbitrary degree (including even and mixed degrees) dimension. We generalize the concept of anchor elements known from two-dimensional setting, extend existing concepts analysis-suitability show their sufficiency linearly independent T-splines.

Pseudo-splines are a rich family of functions that allows the user to meet various demands for balancing polynomial reproduction (i.e., approximation power), regularity and support size. Such a family includes, as special members, B-spline functions, universally known for their usefulness in different fields of application. When replacing polynomial reproduction by exponential polynomial reprod...

A-splines are implicit real algebraic curves in Bernstein-B ezier (BB) form that are smooth. We use these in an algorithm for active contouring of images. One advantage of A-splines is that any change to the controlling weights only a ects the curve locally, which results in fast convergence. Our active A-splines are also level sets of a time-dependent function with the added exibility of a dyn...

HB-splines: a Blend of Hermite splines and B-splines Laurent Grisoni Carole Blanc Christophe Schlick LaBRI [grisonijblancjschlick]@labri.u-bordeaux.fr Abstract This paper proposes to study a spline model, called HB-splines, that is in fact a B-spline representation of Hermite splines, combined with some restriction on the di erential values at segment boundaries. Although this model does not ap...

We consider two-stage scattered data fitting with truncated hierarchical B-splines (THB-splines) for the adaptive reconstruction of industrial models. The first stage scheme is devoted to computation local least squares variational spline approximations, exploiting a simple fairness functional handle distributions locally varying density points. Hierarchical quasi-interpolation based on THB-spl...