8 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…
Pythagorean-Hodograph B-Spline Curves
Gudrun Albrecht, Carolina Vittoria Beccari, Jean-Charles Canonne +1
We introduce the new class of planar Pythagorean-Hodograph (PH) B-Spline curves. They can be seen as a generalization of the well-known class of planar Pythagorean-Hodograph (PH) B…
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.…