In computer graphics, a curve is a mathematical object that describes the path of an object in space. Curves are used to represent a wide variety of objects, from simple lines and circles to complex shapes like spirals and parabolas. In the Godot game engine, curves can be used to create a variety of effects, such as paths for objects to follow, boundaries for physics objects, and even as the basis for creating 3D models.
Curves are defined by a set of control points, which are points that determine the shape of the curve. The curve will pass through or near the control points, and the shape of the curve will be determined by the distance between the control points and the order of the curve. The order of a curve refers to the number of derivatives that are continuous at each point on the curve. Higher order curves are smoother and have fewer sharp corners than lower order curves.
