What are the different types of curves used in computer graphics?

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What are the different types of curves used in computer graphics?

There are several types of curves used in computer graphics, including:

1. Bézier curves: These are defined by a set of control points that determine the shape of the curve. Bézier curves are widely used for creating smooth and precise curves in computer graphics.

2. B-spline curves: B-spline curves are similar to Bézier curves but offer more flexibility. They are defined by a set of control points and a knot vector, which determines the influence of each control point on the curve.

3. Hermite curves: Hermite curves are defined by two control points and their associated tangent vectors. They are commonly used for creating smooth and continuous curves with specified slopes at the control points.

4. NURBS curves: Non-Uniform Rational B-Spline (NURBS) curves are a generalization of B-spline curves. They allow for more complex shapes by incorporating weights for each control point, which control the influence of the point on the curve.

5. Catmull-Rom splines: Catmull-Rom splines are a type of interpolating spline that pass through each control point. They are commonly used for creating smooth and natural-looking curves in computer graphics.

These different types of curves provide various methods for creating and manipulating curves in computer graphics, each with its own advantages and applications.