44 citations · 255 across the 25 of their papers we have counts for
4 papers · 1 filter
A general class of smooth rational splines: Application to construction of exact ellipses and ellipsoids
Hendrik Speleers, Deepesh Toshniwal
In this paper, we describe a general class of smooth rational splines that enables, in particular, exact descriptions of ellipses and ellipsoids - some of the most important…
Best low-rank approximations and Kolmogorov n-widths
Michael S. Floater, Carla Manni, Espen Sande +1
We relate the problem of best low-rank approximation in the spectral norm for a matrix to Kolmogorov -widths and corresponding optimal spaces. We characterize all the optima…
Adaptive refinement with locally linearly independent LR B-splines: Theory and applications
Francesco Patrizi, Carla Manni, Francesca Pelosi +1
In this paper we describe an adaptive refinement strategy for LR B-splines. The presented strategy ensures, at each iteration, local linear independence of the obtained set of LR B…
A Tchebycheffian extension of multi-degree B-splines: Algorithmic computation and properties
Rene R. Hiemstra, Thomas J. R. Hughes, Carla Manni +2
In this paper we present an efficient and robust approach to compute a normalized B-spline-like basis for spline spaces with pieces drawn from extended Tchebycheff spaces. The exte…