What is a bezier curve? So a Bezier curve is a mathematically defined curve used in two-dimensional graphic applications like abode Illustrator, Inkscape etc. The curve is defined by four points: the initial position and the terminating position i. Bezier curves are frequently used in computer graphics, animation, modelling etc. How do we Represent Bezier Curves Mathematically?

## Bezier curve

## Computer Graphics Programs - javatpoint

Paths are not bound by the limits of rasterized images and are intuitive to modify. This also applies to robotics where the motion of a welding arm, for example, should be smooth to avoid unnecessary wear. The first and last control points are always the endpoints of the curve; however, the intermediate control points if any generally do not lie on the curve. The sums in the following sections are to be understood as affine combinations — that is, the coefficients sum to 1. The curve is given by. Rearranging the preceding equation yields:. As t increases from 0 to 1, the curve departs from P 0 in the direction of P 1 , then bends to arrive at P 2 from the direction of P 1.

### Computer Graphics Curves

Updated 27 Sep This code for drawing a Bezier curve passing through given points. The Bezier control points are also carried out. Nguyen Quoc Duan

What is Koch Curve? The Koch snowflake also known as the Koch curve, Koch star, or Koch island is a mathematical curve and one of the earliest fractal curves to have been described. Consequently, the snowflake has a finite area bounded by an infinitely long line.