7 papers
Stable numerical evaluation of multi-degree B-splines
Carolina Vittoria Beccari, Giulio Casciola
Multi-degree splines are piecewise polynomial functions having sections of different degrees. They offer significant advantages over the classical uniform-degree framework, as they…
Critical length: an alternative approach
Carolina Vittoria Beccari, Giulio Casciola, Marie-Laurence Mazure
We provide a numerical method to determine the critical lengths of linear differential operators with constant real coefficients. The need for such a procedure arises when the orde…
On multi-degree splines
Carolina Vittoria Beccari, Giulio Casciola, Serena Morigi
Multi-degree splines are piecewise polynomial functions having sections of different degrees. For these splines, we discuss the construction of a B-spline basis by means of integra…
A practical method for computing with piecewise Chebyshevian splines
Carolina Vittoria Beccari, Giulio Casciola, Lucia Romani
A piecewise Chebyshevian spline space is good for design when it possesses a B-spline basis and this property is preserved under knot insertion. The interest in such kind of spaces…
Piecewise Extended Chebyshev Spaces: a numerical test for design
Carolina Vittoria Beccari, Giulio Casciola, Marie-Laurence Mazure
Given a number of Extended Chebyshev (EC) spaces on adjacent intervals, all of the same dimension, we join them via convenient connection matrices without increasing the dimension.…
High quality local interpolation by composite parametric surfaces
Michele Antonelli, Carolina Vittoria Beccari, Giulio Casciola
In CAGD the design of a surface that interpolates an arbitrary quadrilateral mesh is definitely a challenging task. The basic requirement is to satisfy both criteria concerning the…