Page 93 - DCAP504_Computer Graphics

Computer Graphics

(b) Which among the following is the scaling matrix used in scaling transformation?

Sx Sy 
   
(i)  0 0 
 Sx  0
   
(ii)  Sy 0 

 S x 0 
   
(iii)  0 y S 
 0 Sy 
   
(iv)  Sx 0 
(c) If the Y-shear factor is 1, identify the shear transformation matrix.
1  0
   
(i)  1 1 

1  1
   
(ii)  0 1 

1  0
   
(iii)  0 1 
0  1
   
(iv)  0 1 
(d) Identify the translation matrix in homogeneous coordinate system.
1 0 dx 
 
0 1 dy 
 0 0 1 
(i)  

1 0 − dx 
 
0 1 − dy 
 0 0 1 
(ii)  
0 1 − dx 
 
 1 0 − dy 
 0 0 1 
(iii)  

0 1 dx 
 
 1 0 dy 
 0 0 1 
(iv)  

86 LOVELY PROFESSIONAL UNIVERSITY