We present a unified approach to and a generalization of almost all known recursion schemes concerning B-spline functions. This indudes formulas for the computation of a B-spline's values, its derivatives (ordinary and partial), and for a knot insertion method for B-spline curves. Furthermore, our generalization allows us to derive interesting new relations for these purposes
A piecewise Chebyshevian spline space is good for design when it possesses a B-spline basis and this...
A piecewise Chebyshevian spline space is good for design when it possesses a B-spline basis and this...
Abstract — Knot insertion is the operation of obtaining a new representation of a B-spline curve by...
We present a unified approach to and a generalization of almost all known recursion schemes concerni...
Journal ArticleThe Oslo algorithm is a recursive method for updating the B-spline representation of ...
In this paper we investigate some properties of trigonometric B-splines, which form a finitely-suppo...
In this paper we investigate some properties of trigonometric B-splines, which form a finitely-suppo...
The early contributions to B-spline theory by Tiberiu Popoviciu and by Liubomir Chakalov are recalle...
. Originally, Tchebycheffian B-splines have been defined by generalized divided differences. In this...
This paper presents a new algorithm for raising the degree of a B-spline curve which can also insert...
This paper presents a new algorithm for raising the degree of a B-spline curve which can also insert...
For some applications, further subdivision of a segment of a B-spline curve or B-spline surface is d...
We give a new, simple algorithm for simultaneous degree elevation and knot insertion for B-spline cu...
This paper is devoted to the geometrical examination of a family of B-spline curves resulted by the ...
We give a new, simple algorithm for simultaneous degree elevation and knot insertion for B-spline cu...
A piecewise Chebyshevian spline space is good for design when it possesses a B-spline basis and this...
A piecewise Chebyshevian spline space is good for design when it possesses a B-spline basis and this...
Abstract — Knot insertion is the operation of obtaining a new representation of a B-spline curve by...
We present a unified approach to and a generalization of almost all known recursion schemes concerni...
Journal ArticleThe Oslo algorithm is a recursive method for updating the B-spline representation of ...
In this paper we investigate some properties of trigonometric B-splines, which form a finitely-suppo...
In this paper we investigate some properties of trigonometric B-splines, which form a finitely-suppo...
The early contributions to B-spline theory by Tiberiu Popoviciu and by Liubomir Chakalov are recalle...
. Originally, Tchebycheffian B-splines have been defined by generalized divided differences. In this...
This paper presents a new algorithm for raising the degree of a B-spline curve which can also insert...
This paper presents a new algorithm for raising the degree of a B-spline curve which can also insert...
For some applications, further subdivision of a segment of a B-spline curve or B-spline surface is d...
We give a new, simple algorithm for simultaneous degree elevation and knot insertion for B-spline cu...
This paper is devoted to the geometrical examination of a family of B-spline curves resulted by the ...
We give a new, simple algorithm for simultaneous degree elevation and knot insertion for B-spline cu...
A piecewise Chebyshevian spline space is good for design when it possesses a B-spline basis and this...
A piecewise Chebyshevian spline space is good for design when it possesses a B-spline basis and this...
Abstract — Knot insertion is the operation of obtaining a new representation of a B-spline curve by...