THREE – DIMENSIONAL TRANSFORMATION

THREE – DIMENSIONAL TRANSFORMATION

Aim :

To write a C program to perform 3D transformations such as translation, rotation, scaling,

reflection and shearing.

Algorithm:

Step 1: Start the program.

 Step 2: Display the cube.

Step 3: input the translation vectortx,ty,tz.

Step 4: using the function line, display the object before and after translation.

Step 5: input the scaling factor and reference point.

Step 6: using the function line, display the object before and after scaling.

Step 7: input the rotation angle.

Step 8: using the function line,display the object before and after rotation.

Step 9: Stop the Program.

Program:

#include<stdio.h>

#include<conio.h>

#include<graphics.h>

#include<math.h>

int maxx,maxy,midx,midy;

void axis()

{

 getch();

 cleardevice();

 line(midx,0,midx,maxy);

 line(0,midy,maxx,midy);

}

void main()

{

 int gd,gm,x,y,z,o,x1,x2,y1,y2;

 detectgraph(&gd,&gm);

 initgraph(&gd,&gm," ");

 setfillstyle(0,getmaxcolor());

 maxx=getmaxx();

 maxy=getmaxy();

 midx=maxx/2;

 midy=maxy/2;

 axis();

 bar3d(midx+50,midy-100,midx+60,midy-90,5,1);

 printf("Enter Translation Factor");

 scanf("%d%d%d",&x,&y,&z);

 axis();

 printf("after translation");

 bar3d(midx+(x+50),midy-(y+100),midx+x+60,midy-(y+90),5,1);

 axis();

 bar3d(midx+50,midy+100,midx+60,midy-90,5,1);

 printf("Enter Scaling Factor");

 scanf("%d%d%d",&x,&y,&z);

 axis();

 printf("After Scaling");

 bar3d(midx+(x*50),midy-(y*100),midx+(x*60),midy-(y*90),5*z,1);

 axis();

 bar3d(midx+50,midy-100,midx+60,midy-90,5,1);

 printf("Enter Rotating Angle");

 scanf("%d",&o);

 x1=50*cos(o*3.14/180)-100*sin(o*3.14/180);

 y1=50*cos(o*3.14/180)+100*sin(o*3.14/180);

 x2=60*sin(o*3.14/180)-90*cos(o*3.14/180);

 y2=60*sin(o*3.14/180)+90*cos(o*3.14/180);

 axis();

 printf("After Rotation about Z Axis");

 bar3d(midx+x1,midy-y1,midx+x2,midy-y2,5,1);

 axis();

 printf("After Rotation about X Axis");

 bar3d(midx+50,midy-x1,midx+60,midy-x2,5,1);

 axis();

 printf("After Rotation about Y Axis");

 bar3d(midx+x1,midy-100,midx+x2,midy-90,5,1);

 getch();

 closegraph();

}

OUTPUT:

Translation

Enter Translation Factor : 50 60 70