Abstract. It is proved that, among all nonnegative bases of its space, the B-spline basis is optimally stable for evaluating spline functions. 1
AbstractSpaces of rational splines of maximal smoothness are considered which are constructed from c...
This article describes an elementary construction of a dual basis for non-uniform B-splines that is ...
AbstractThis paper deals withL2(R)-norm and Sobolev-norm stability of polynomial splines with multip...
Abstract. We show that the tensor product B-spline basis and the triangular Bernstein basis are in s...
In this paper, we construct a matrix, which transforms a generalized C-Bézier basis into a generaliz...
AbstractWe construct a uniformly stable family of bases for tensor product spline approximation on d...
In this paper we show that the normalized Powell-Sabin B-splines form a stable basis for the max nor...
AbstractIt is shown how one can use splines, represented in the B-spline basis, to reduce the diffic...
AbstractIn this paper we show that the normalized Powell–Sabin B-splines form a stable basis for the...
AbstractIn this note, improved lower bounds are derived for the sup norm condition numbers of the B-...
Splines are currently much used in the field of interpolation to functions and their derivatives. In...
International audienceWe consider piecewise Chebyshevian splines, in the sense of splines with piece...
AbstractThe aim of the paper is to provide a computationally effective way to construct stable bases...
AbstractThe author's conjecture concerning the knot sequence whose associated B-spline sequence has ...
B-splines of polynomial order d are the unique functions that are globally in C^(d-2) and piecewise ...
AbstractSpaces of rational splines of maximal smoothness are considered which are constructed from c...
This article describes an elementary construction of a dual basis for non-uniform B-splines that is ...
AbstractThis paper deals withL2(R)-norm and Sobolev-norm stability of polynomial splines with multip...
Abstract. We show that the tensor product B-spline basis and the triangular Bernstein basis are in s...
In this paper, we construct a matrix, which transforms a generalized C-Bézier basis into a generaliz...
AbstractWe construct a uniformly stable family of bases for tensor product spline approximation on d...
In this paper we show that the normalized Powell-Sabin B-splines form a stable basis for the max nor...
AbstractIt is shown how one can use splines, represented in the B-spline basis, to reduce the diffic...
AbstractIn this paper we show that the normalized Powell–Sabin B-splines form a stable basis for the...
AbstractIn this note, improved lower bounds are derived for the sup norm condition numbers of the B-...
Splines are currently much used in the field of interpolation to functions and their derivatives. In...
International audienceWe consider piecewise Chebyshevian splines, in the sense of splines with piece...
AbstractThe aim of the paper is to provide a computationally effective way to construct stable bases...
AbstractThe author's conjecture concerning the knot sequence whose associated B-spline sequence has ...
B-splines of polynomial order d are the unique functions that are globally in C^(d-2) and piecewise ...
AbstractSpaces of rational splines of maximal smoothness are considered which are constructed from c...
This article describes an elementary construction of a dual basis for non-uniform B-splines that is ...
AbstractThis paper deals withL2(R)-norm and Sobolev-norm stability of polynomial splines with multip...