- To translate an object by a vector v, each homogeneous vector p (written in homogeneous coordinates) would need to be multiplied by thistranslation matrix

1. EXPERIMENT- 2
Objective: - Write a program to perform translation.
Software Used: - Turbo c
Theory: - To translate an object by a vector v, each homogeneous vector p (written in
homogeneous coordinates) would need to be multiplied by thistranslation matrix:
As shown below, the multiplication will give the expected result:
Program :
#include <stdio.h>
#include <stdlib.h>
#include<graphics.h>
#include<conio.h>
#include<math.h>
void draw2d(int,int [],int [],int,int);
void main()
{
int gd=DETECT, gm;
int x[20],y[20],tx=0,ty=0,i,fs;
initgraph(&gd,&gm," C:TURBOC3BIN");
printf("No of edges : ");
scanf("%d",&fs);

2. printf("Co-ordinates : ");
for(i=0;i<fs;i++)
{
printf("(x%d,y%d)",i,i);
scanf("%d%d",&x[i],&y[i]);
}
draw2d(fs,x,y,tx,ty);
printf("translation (x,y) : ");
scanf("%d%d",&tx,&ty);
draw2d(fs,x,y,tx,ty);
getch();
}
void draw2d(int fs,int x[20],int y[20],int tx,int ty)
{
int i;
for(i=0;i<fs;i++)
{
if(i!=(fs-1))
line(x[i]+tx,y[i]+ty,x[i+1]+tx,y[i+1]+ty);
else
line(x[i]+tx,y[i]+ty,x[0]+tx,y[0]+ty);
}
}

3. Output: