Bézierkõvera

Bézierkõvera is a type of mathematical curve used in computer graphics and design. It is defined by a set of control points. The curve passes through the first and last control points, known as anchor points, but does not necessarily pass through the intermediate control points, which are called handles. The shape of the curve is influenced by the position of these handle points.

There are different types of Bézier curves, with the most common being cubic Bézier curves, which are defined by four control points. Quadratic Bézier curves use three control points. The mathematics behind Bézier curves involves Bernstein polynomials. These curves are widely used in vector graphics software for drawing shapes, curves, and defining paths. They offer a smooth and intuitive way to manipulate curves by simply dragging the control points. The parametric form of a Bézier curve allows for easy evaluation at any point along its length. Their predictable behavior and mathematical properties make them a fundamental tool in many digital design applications.