Along with the classical requirements on B-splines bases (minimal support, positivity, normalization) we show that it is natural to introduce an additional “end point property". When dealing with multiple knots, this additional property is exactly the appropriate requirement to obtain the poles of nondegenerate splines as intersections of osculating flats at consecutive knots
Sensible parameters for polynomials and other splines Frame 1 of 24 Polynomials and other splines I ...
Abstract. We introduce here a direct method to construct multivariate ex-plicit B-spline bases. B-sp...
International audienceThis works complements a recent article (Mazure, J. Comp. Appl. Math. 219(2):4...
B-splines of polynomial order d are the unique functions that are globally in C^(d-2) and piecewise ...
In this paper we study B-splines when the intervals between consecutive knots are in geometric progr...
WOS: A1994PW24500007In this paper we study B-splines when the intervals between consecutive knots ar...
. We derive knot insertion formulas for the B-spline basis for natural splines. We also show that th...
In this paper we prove that there exists a unique positive symmetrical univariate B-spline with mini...
AbstractThe author's conjecture concerning the knot sequence whose associated B-spline sequence has ...
<p>Knots and basis functions of discontinuous two-piece cubic B-spline (<i>p</i> = 3).</p
International audienceExistence of blossoms is crucial for design. In a single space, we recently ch...
We derive explicit formulas for the generating functions of B-splines with knots in either geometric...
In several recent publications B-spline functions appeared with control points from abstract algebra...
In this paper, starting from a sequence of results which can be traced back to I. J. Schoenberg, we ...
none2noMulti-degree splines are piecewise polynomial functions having sections of different degrees....
Sensible parameters for polynomials and other splines Frame 1 of 24 Polynomials and other splines I ...
Abstract. We introduce here a direct method to construct multivariate ex-plicit B-spline bases. B-sp...
International audienceThis works complements a recent article (Mazure, J. Comp. Appl. Math. 219(2):4...
B-splines of polynomial order d are the unique functions that are globally in C^(d-2) and piecewise ...
In this paper we study B-splines when the intervals between consecutive knots are in geometric progr...
WOS: A1994PW24500007In this paper we study B-splines when the intervals between consecutive knots ar...
. We derive knot insertion formulas for the B-spline basis for natural splines. We also show that th...
In this paper we prove that there exists a unique positive symmetrical univariate B-spline with mini...
AbstractThe author's conjecture concerning the knot sequence whose associated B-spline sequence has ...
<p>Knots and basis functions of discontinuous two-piece cubic B-spline (<i>p</i> = 3).</p
International audienceExistence of blossoms is crucial for design. In a single space, we recently ch...
We derive explicit formulas for the generating functions of B-splines with knots in either geometric...
In several recent publications B-spline functions appeared with control points from abstract algebra...
In this paper, starting from a sequence of results which can be traced back to I. J. Schoenberg, we ...
none2noMulti-degree splines are piecewise polynomial functions having sections of different degrees....
Sensible parameters for polynomials and other splines Frame 1 of 24 Polynomials and other splines I ...
Abstract. We introduce here a direct method to construct multivariate ex-plicit B-spline bases. B-sp...
International audienceThis works complements a recent article (Mazure, J. Comp. Appl. Math. 219(2):4...
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