Add to ORKGTotally positive blending bases present good shape preserving properties when they are used in CAGD. Among these bases there exist special bases, called B-bases, which have optimal shape preserving prop- erties. In particular, the corresponding control polygon is nearest to the curve among all the control polygons; thus many geometrical properties are similar to the ones of the curve. Examples of totally positive blend- ing B-bases are the Bernstein polynomials and the B-spline basis. Our purpose is to construct new classes of such bases starting from compactly supported totally positive scaling functions
We present a short summary of CAGD tools of main interest in IgA, namely Bernstein polynomials and B...
AbstractThis paper presents a unified approach to deal with spaces containing simultaneously algebra...
Abstract In the present paper, we construct a new class of operators based on new type Bézier bases ...
It is well known that total positivity plays an important role in many fields, from the design of cu...
The aim of this paper is to study the shape preserving properties of some positive operators constru...
International audienceWe consider piecewise Chebyshevian splines, in the sense of splines with piece...
The shape preserving properties of a curve in \(\mathbb{R}^2\) depend on the properties of the funct...
In this paper, we construct a matrix, which transforms a generalized C-Bézier basis into a generaliz...
Within the general framework of Quasi Extended Chebyshev space, we prove that the cubic trigonometri...
Recently, linear positive operators of Bernstein-Schoenberg type, relative to B-splines bases, have ...
A complex geometric shape is often a composition of a set of simple ones, which may differ from each...
Homogeneous ¯q-blossom is introduced by altering the diagonal property of classical homogeneous blos...
AbstractA B-spline basis function is a piecewise function of polynomials of equal degree on its supp...
Computer aided geometric design is the design of geometric shapes, such as curves and surfaces, by u...
This paper presents a unified approach to deal with spaces containing simultaneously algebraic and t...
We present a short summary of CAGD tools of main interest in IgA, namely Bernstein polynomials and B...
AbstractThis paper presents a unified approach to deal with spaces containing simultaneously algebra...
Abstract In the present paper, we construct a new class of operators based on new type Bézier bases ...
It is well known that total positivity plays an important role in many fields, from the design of cu...
The aim of this paper is to study the shape preserving properties of some positive operators constru...
International audienceWe consider piecewise Chebyshevian splines, in the sense of splines with piece...
The shape preserving properties of a curve in \(\mathbb{R}^2\) depend on the properties of the funct...
In this paper, we construct a matrix, which transforms a generalized C-Bézier basis into a generaliz...
Within the general framework of Quasi Extended Chebyshev space, we prove that the cubic trigonometri...
Recently, linear positive operators of Bernstein-Schoenberg type, relative to B-splines bases, have ...
A complex geometric shape is often a composition of a set of simple ones, which may differ from each...
Homogeneous ¯q-blossom is introduced by altering the diagonal property of classical homogeneous blos...
AbstractA B-spline basis function is a piecewise function of polynomials of equal degree on its supp...
Computer aided geometric design is the design of geometric shapes, such as curves and surfaces, by u...
This paper presents a unified approach to deal with spaces containing simultaneously algebraic and t...
We present a short summary of CAGD tools of main interest in IgA, namely Bernstein polynomials and B...
AbstractThis paper presents a unified approach to deal with spaces containing simultaneously algebra...
Abstract In the present paper, we construct a new class of operators based on new type Bézier bases ...