AbstractWe analyze convexity preserving properties of curves from a geometric point of view. We also characterize totally positive systems of functions in terms of geometric convexity preserving properties of the rational curves. Rational Bézier and nonuniform rational B-spline curves are included in this setting
We study the convexity of curves defined by the combination of control points and blending functions...
The paper describes a concept of induced rational parametrisation for curves. Parametrisations of cu...
Abstract—Based on the original geometrical definition of the planar parametric convex curve, the loc...
AbstractWe analyze convexity preserving properties of curves from a geometric point of view. We also...
AbstractIn this paper we define convexity and rational convexity preservation of systems of function...
In this study a piecewise rational function with cubic numerator and linear denominator involving t...
The shape preserving properties of a curve in \(\mathbb{R}^2\) depend on the properties of the funct...
AbstractIn this paper, the problem of shape preserving C2 rational cubic spline has been proposed. T...
AbstractA smooth curve interpolation scheme for positive, monotonic, and convex data has been develo...
AbstractTwo approaches to constructing piecewise rational curves are compared and contrasted. One in...
A model for computing the weights of the control vertices of a rational curve with respect to the co...
: It is well known that Bernstein polynomials on triangles preserve monotonicity. In this paper we d...
A quadratic Bézier representation withholds a curve segment with free from loops, cusps and inflecti...
This paper is concerned with the problem of positive and convex data visualization in the form of po...
A scheme for generating plane curves which interpolates given data is described. A curve is obtained...
We study the convexity of curves defined by the combination of control points and blending functions...
The paper describes a concept of induced rational parametrisation for curves. Parametrisations of cu...
Abstract—Based on the original geometrical definition of the planar parametric convex curve, the loc...
AbstractWe analyze convexity preserving properties of curves from a geometric point of view. We also...
AbstractIn this paper we define convexity and rational convexity preservation of systems of function...
In this study a piecewise rational function with cubic numerator and linear denominator involving t...
The shape preserving properties of a curve in \(\mathbb{R}^2\) depend on the properties of the funct...
AbstractIn this paper, the problem of shape preserving C2 rational cubic spline has been proposed. T...
AbstractA smooth curve interpolation scheme for positive, monotonic, and convex data has been develo...
AbstractTwo approaches to constructing piecewise rational curves are compared and contrasted. One in...
A model for computing the weights of the control vertices of a rational curve with respect to the co...
: It is well known that Bernstein polynomials on triangles preserve monotonicity. In this paper we d...
A quadratic Bézier representation withholds a curve segment with free from loops, cusps and inflecti...
This paper is concerned with the problem of positive and convex data visualization in the form of po...
A scheme for generating plane curves which interpolates given data is described. A curve is obtained...
We study the convexity of curves defined by the combination of control points and blending functions...
The paper describes a concept of induced rational parametrisation for curves. Parametrisations of cu...
Abstract—Based on the original geometrical definition of the planar parametric convex curve, the loc...