In the rst part of the paper, the problem of de ning multivariate splines in a natural way is
formulated and discussed. Then, several existing constructions of multivariate splines are …

Triangular B-splines are powerful and flexible in modeling a broader class of geometric
objects defined over arbitrary, non-rectangular domains. Despite their great potential and …

In this study, we employ a blossoming technique and smoothness criteria to devise a two-
step method for creating a C 2 septic spline quasi-interpolant on any given triangulation …

In this work we describe an approximating scheme based on simplex splines on a
tetrahedral partition using volumetric data. We use the trivariate simplex B-spline …

In this work, we use some results concerning the connection between blossoms and splines,
especially those related to the smoothness conditions to develop an algorithm for …

Referring to the work of Dahmen-Micchelli-Seidel [3], where a new scheme for multivariate B-
spline is proposed, we present some insight into its geometrical nature. Their scheme …

This volume documents the results and presentations, related to aspects of geometric
design, of the Second International Conference on Curves and Surfaces, held in Chamonix …

This work is a contribution in the approximation theory for studying and analyzing piecewise
polynomial functions (splines), which uses the blossoming approach. Some existing results …

Multivariate spline technique has proved to be a powerful mathematicaltool for solving
variational problems in a great number of researchand engineering tasks, such as computer …

With the rapid advancement of modern 3D scanning technologies, CAD-based digital
prototypes are routinely acquired in forms of raw points and/or triangular meshes. In order to …