IMPLEMENTATION OF TWO DIMENSIONAL COMPOSITE TRANSFORMATIONS

0
PROGRAM NAME:IMPLEMENTATION OF TWO DIMENSIONAL COMPOSITE TRANSFORMATIONS

PROGRAM LANGUAGE:C

PROGRAM SOFTWARE:C Software

PROGRAM DESCRIPTION:A transformation is any operation on a point in space (x, y) that maps the point's coordinates into a new set of coordinates (x1, y1).The Two Dimensional Composite transformation represent a sequence of transformations as a single matrix which has the order of operations as Translation, Rotation, Scaling, Shearing, Reflection

Code:
```#include <graphics.h> /* include the necessary header files*/ #include <stdlib.h> #include <stdio.h> #include <conio.h> #include <math.h> int xa,xb,xc,ya,yb,yc,y1a,y1b,y1c,x1a,x1b,x1c,x2a,x2b,x2c,y2a,y2b,y2c; int x3a,x3b,x3c,y3a,y3b,y3c,x4a,x4b,x4c,y4a,y4b,y4c,x5a,x5b,x5c,y5a,y5b,y5c; int tx,shx,t,ch,shy; float ang,theta,sx,sy; int main(void) { int gdriver = DETECT, gmode, errorcode; initgraph(&gdriver, &gmode,"C:\\TC\\BGI"); /* request for auto detection*/ printf("\n\t\t\t 2D Composite Transformations"); printf("\n\n Enter all coordinates values :"); scanf("%d %d %d %d %d %d",&xa,&ya,&xb,&yb,&xc,&yc); printf("\n\n The original Image"); /* get the coordinates for the original image*/ line(xa,ya,xb,yb); /* draw the original image*/ line(xb,yb,xc,yc); line(xc,yc,xa,ya); printf("\n\n Enter the value tranlsation factor :"); /* get the translation factor*/ scanf("%d",&tx); printf("\n\n After Translation "); x1a=xa+tx; x1b=xb+tx; x1c=xc+tx; y1a=ya; y1b=yb; y1c=yc; line(x1a,y1a,x1b,y1b); /* image after translation*/ line(x1b,y1b,x1c,y1c); line(x1c,y1c,x1a,y1a); delay(1); printf("\n\n Next Operation is Rotation"); printf("\n\n Enter the rotation angle :"); /* get the angle of rotation*/ scanf("%f",&ang); theta=((ang*3.14)/180); /* convert the angle*/ x2a=x1a*cos(theta)-y1a*sin(theta); y2a=x1a*sin(theta)+y1a*cos(theta); x2b=x1b*cos(theta)-y1b*sin(theta); y2b=x1b*sin(theta)+y1b*cos(theta); x2c=x1c*cos(theta)-y1c*sin(theta); y2c=x1c*sin(theta)+y1c*cos(theta); printf("\n\n After Rotation "); /* the rotated object*/ line(x2a,y2a,x2b,y2b); line(x2b,y2b,x2c,y2c); line(x2c,y2c,x2a,y2a); delay(1); printf("\n\n Next Operation is Scaling"); /* get the scale factor*/ printf("\n\n Enter the Scale factor :"); scanf("%f %f",&sx,&sy);  x3a=x2a+sx; /* modify the objects coordinates based on the scale factor*/ y3a=y2a+sy; x3b=x2b+sx; y3b=y2b+sy; x3c=x2c+sx; y3c=y2c+sy; printf("\n\n After Scaling "); line(x3a,y3a,x3b,y3b); line(x3b,y3b,x3c,y3c); line(x3c,y3c,x3a,y3a); delay(1); printf("\n\n Next Operation is Shearing");  printf("\n\n Enter 1 for x-axis \n 2 for y-axis: "); /* get the choice of shearing in the x or y axis*/ scanf("%d",&ch); if(ch==1) /* get the shear value*/ { printf("\n\n Enter the x-SHEAR (^.^) Value: "); scanf("%d",&shx); } else { printf("\n\n Enter the y-SHEAR (^.^) Value: "); scanf("%d",&shy); } if(ch==1) { x3a=x3a+shx*y3a; y4a=y3a; x3b=x3a+shx*y3a; y4b=y3b; x3c=x3a+shx*y3a; y4c=y3c; } else { x4a=x3a; y3a=y3a+shy*x3a; x4b=x3b; y3b=y3b+shy*x3b; x4c=x3c; y3c=y3c+shy*x3c; } printf("\n\n After Shearing "); /* draw the final object after shearing*/ line(x3a,y3a,x3b,y3b); line(x3b,y3b,x3c,y3c); line(x3c,y3c,x3a,y3a); delay(1); printf("\n\n Next Operation is Reflection"); t=abs(y3a-y3c); /* calculate the value for reflection*/ x5a=x3a; x5b=x3b; x5c=x3c; y5a=y3a+10+(2*t); y5b=y3b+10; y5c=y3c+10; printf("\n\n After Reflection "); /* the final object after all the transformations*/ line(x5a,y5a,x5b,y5b); line(x5b,y5b,x5c,y5c); line(x5c,y5c,x5a,y5a); getch(); closegraph(); return 0; }```

Make a Great History

IMPLEMENTATION OF TWO DIMENSIONAL COMPOSITE TRANSFORMATIONS