BEZIER CURVES: Design 1

Bézier curves are a mathematical tool used to create soft and continuous graphics, computer -assisted design (CAD) and animation. They were developed by the French engineer Pierre Bézier in the 1960s.

Definition

A Bézier curve is a parametric curve defined by a set of control points. The curve is generated interpolating between these control points, creating a soft and continuous curve.

Characteristics

Bézier curves have several important characteristics:

1. _ Control Puntos_: The control points define the shape of the curve. The number of control points determines the degree of the curve.
2. _Grade_: The degree of a Bézier curve is the number of control points less one.
3. _Continuity_: Bézier's curves are continuous and soft, which makes them ideal for graphics and design applications.
4. _Flexibility_: Bézier curves can be easily modified by adjusting the control points.

Types of Bézier curves

There are several types of Bézier curves, including:

1. _ LINEAR BÉZIER CURVES_: They are grade 1 curves, defined by two control points.
2. _ Cuadratic Bézier Curvas_: They are curves of grade 2, defined by three control points.
3. _ cubic bézier curvas_: They are curves of grade 3, defined by four control points.

Applications

Bézier curves have a wide range of applications, including:

1. _ GRAPHIC DISEÑO_: Bézier curves are used to create logo, icons and vector graphics.
2. _Animación_: Bézier curves are used to create soft and natural movements in animations.
3. _ Computer -assisted design (CAD) _: Bézier curves are used to create 3D models and complex curves in CAD design.