Bezier Curve is one of the Curve representation which uses control points to draw a curve. It is always determined on the number of control points that require to draw it. It follows Bernstein polynomial as the basis function.
Must Read [ What is Bezier Curve ? ]
C Program to draw a Bezier curve
Program:
#include<graphics.h>
#include<math.h>
#include<conio.h>
#include<stdio.h>
void main()
{
int x[4],y[4],i;
double put_x,put_y,t;
int gr=DETECT,gm;
initgraph(&gr,&gm,"C:\\TURBOC3\\BGI");
printf("\n****** Bezier Curve ***********");
printf("\n Please enter x and y coordinates ");
for(i=0;i<4;i++)
{
scanf("%d%d",&x[i],&y[i]);
putpixel(x[i],y[i],3); // Control Points
}
for(t=0.0;t<=1.0;t=t+0.001) // t always lies between 0 and 1
{
put_x = pow(1-t,3)*x[0] + 3*t*pow(1-t,2)*x[1] + 3*t*t*(1-t)*x[2] + pow(t,3)*x[3]; // Formula to draw curve
put_y = pow(1-t,3)*y[0] + 3*t*pow(1-t,2)*y[1] + 3*t*t*(1-t)*y[2] + pow(t,3)*y[3];
putpixel(put_x,put_y, WHITE); // putting pixel
}
getch();
closegraph();
}
Output:
