Types of Curves in Computer Graphics

This video covers what are curves & what are the different types of curves in Computer Graphics.

What is a curve?

A Curve consists of an infinitely large set of points. Those points have a property that any point has 2 neighbors, except for a small number of points that have one neighbor, called an endpoint. Some curves in a plane have no endpoints because they are infinite or they are closed loops. Curves are used to draw Objects. We need curves multiple times because objects are not always designed in a flat surface. A curve consists of an infinitely large set of points. The important thing to note is each point in the curve has two neighbors and the point that has a single neighbor is known as an endpoint.

There are mainly three types of curves, which are as follows: 1. Implicit Curves 2. Explicit Curves 3. Parametric Curves

Implicit curve: Implicit curve are a set of points on a curve, that test to see whether if a point is present on the curve or not. The implicit function that defines the implicit curve is: f(x, y) = 0 It is scalar function which returns a single real number.

Explicit Curve: If the curve is represented in the form of Y=f(X), then it is called explicit curve, for every value of X a single value Y is normally computed by the function. The explicit representation is not general, because it is single valued, it cannot represent vertical lines.

Parametric Curve: The curves that having the parametric values is called as parametric curves, These are mostly used curves in computer graphics.