In this paper, we construct a matrix, which transforms a generalized C-Bézier basis into a generalized uniform algebraic-trigonometric B-spline (C-B-spline or UAT B-spline) basis. We also show that it is a totally positive matrix and give a normalized B-basis of the generalized UAT B-splines
B-splines of polynomial order d are the unique functions that are globally in C^(d-2) and piecewise ...
Abstract. We show that the tensor product B-spline basis and the triangular Bernstein basis are in s...
AbstractA B-spline basis function is a piecewise function of polynomials of equal degree on its supp...
Abstract. It is proved that, among all nonnegative bases of its space, the B-spline basis is optimal...
Within the general framework of Quasi Extended Chebyshev space, we prove that the cubic trigonometri...
Totally positive blending bases present good shape preserving properties when they are used in CAGD...
We construct a suitable B-spline representation for a family of bivariate spline functions with smoo...
International audienceWe consider piecewise Chebyshevian splines, in the sense of splines with piece...
We present the construction of a suitable normalized B-spline representation for reduced Clough-Toch...
We construct a suitable normalized B-spline representation for C2-continuous quintic Powell-Sabin sp...
In this paper, we present an efficient and robust approach to compute a normalized B-spline-like bas...
In computer-aided design it is both convenient and practical to use the matrix form in representing ...
B-splines of polynomial order d are the unique functions that are globally in C^(d-2) and piecewise ...
Abstract. We show that the tensor product B-spline basis and the triangular Bernstein basis are in s...
AbstractA B-spline basis function is a piecewise function of polynomials of equal degree on its supp...
Abstract. It is proved that, among all nonnegative bases of its space, the B-spline basis is optimal...
Within the general framework of Quasi Extended Chebyshev space, we prove that the cubic trigonometri...
Totally positive blending bases present good shape preserving properties when they are used in CAGD...
We construct a suitable B-spline representation for a family of bivariate spline functions with smoo...
International audienceWe consider piecewise Chebyshevian splines, in the sense of splines with piece...
We present the construction of a suitable normalized B-spline representation for reduced Clough-Toch...
We construct a suitable normalized B-spline representation for C2-continuous quintic Powell-Sabin sp...
In this paper, we present an efficient and robust approach to compute a normalized B-spline-like bas...
In computer-aided design it is both convenient and practical to use the matrix form in representing ...
B-splines of polynomial order d are the unique functions that are globally in C^(d-2) and piecewise ...
Abstract. We show that the tensor product B-spline basis and the triangular Bernstein basis are in s...
AbstractA B-spline basis function is a piecewise function of polynomials of equal degree on its supp...
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