Transformasi 3D.

Transformasi 3D

Translasi
 x' 1
 y ' 0
 
 z '  0
  
 1  0

0
1
0
0

0 tx   x
0 t y   y 

1 tz   z 
  
0 1  1 

(x’,y’,z’)
(x,y,z)

T=(tx,ty,tz)

Skala
 x'  s x
 y '  0
 
 z'  0
  
1  0

0
sy
0
0

0
0

sz
0

0  x 
0  y 

0  z 
  
1  1 

Rotasi
Terhadap sumbu z (Rz)
 x' cos
 y '  sin 
 
 z'  0
  
1  0

 sin 

cos
0
0

0
0
1
0

0  x 
0  y 

0  z 
  
1  1 

Terhadap sumbu y (Ry)

 x'  cos
 y '  0

 
 z '   sin 
  
1  0

0 sin 
1
0
0 cos
0
0

0  x 
0  y 

0  z 
  
1  1 

Terhadap sumbu x (Rx)

0
 x' 1
 y ' 0 cos
 
 z '  0 sin 
  
0
 1  0

0
 sin 
cos
0

0  x 
0  y 


0 z
  

1  1 