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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.…
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…
A practical criterion for the existence of optimal piecewise Chebyshevian spline bases
Carolina Vittoria Beccari, Giulio Casciola
A piecewise Chebyshevian spline space is a space of spline functions having pieces in different Extended Chebyshev spaces and where the continuity conditions between adjacent splin…