A new kind of Bézier-like basis with a frequency parameter, called ω-Bezier basis, is presented. It unifies and extends the Bézier basis, C-Bézier basis and ...

The ω-Bezier basis persists all desirable properties of the existing Bézier-like bases and has some special properties advantageous for modeling free form ...

A new kind of spline with variable frequencies, called ωB-spline, is presented. It not only unifies B-splines, trigonometric and hyperbolic polynomial B-splines ...

This paper is concerned with a new generalization of rational Bernstein–Bézier curves involving q -integers as shape parameters. A one parameter family of ...

This Demonstration shows a rational cubic Bézier curve, with green marks at two-thirds the distance of the points. P. 0. and. P. 3. to the intersection of.

= ω n , a rational Bézier curve reduces to a polynomial one. For clarity, a polynomial Bézier curve of degree n will be denoted as P n .

Bezier Curves. Bézier curves were introduced by Pierre Bézier, a French ... Bézier parameter ω, it is necessary to reformulate the entry problem and to ...

Any quadratic Bézier curve (with unit parameter. ω=1. ) represents a parabolic segment. This Demonstration illustrates the relationship between the ...

Mar 9, 2014 · Suppose we denote the Bezier curve by the function u↦C(u). So, given a parameter value u, we can calculate a 3D point C ...

Here we describe the self-affine nature of quadratic Bézier curves in detail and discuss how these self-affine properties can be extended to other types of ...