TRANSFORMATION

TRANSFORMATION

1. TRANSLATION

   • Movement of points
     • Same distance
     • Same direction
   • Identification
     • same shape
     • same size
     • Same orientation
   • Describe
     • Name: Translation
     • Translation vector
       • x
         • Positve: right
         • Negative: Left
       • y
         • Positve: Up
         • Negative: down
   • Object + Vector = Image

2. ENLARGEMENT

   • Larger / smaller
     • depends on SF
   • Identification
     • Different size (except when SF = 1 and -1)
     • Same shape
     • Position depends on SF
   • Describe
     • Name: Enlargement
     • Centre of enlargement
       • Join object-image lines
       • obj-img lines intersected at one point
     • Scale Factor (k)
       • Formula : I / O
       • Positive: Same direction
         • centre is on one side of both img and obj
       • Negative : Opposite direction
         • Centre is in between obj and img
       • SF > 1 : Enlarge
       • SF < 1 : Reduce
       • SF = 1 or -1 : Same size
   • Area = k2 x area of object
   • Matrix

3. REFLECTION

   • Flipping image
   • Identification
     • Symmetrical
     • Same shape
     • Different orientation
     • Same size
   • Describe
     • Name: Reflection
     • Equation of line of reflection/mirror line
       • Horizontal: y = (y-value)
       • Vertical: x = (x-value)
       • Slanting: y = mc + x
         • m = gradient
         • c = y-intercept
   • Matrix
     • x-axis
     • y-axis
     • y = x
     • y = -x

4. ROTATION

   • Rotate / turn
   • Identification
     • Same size
     • Same shape
     • Obj & img faced different ways (not flipped)
     • Same distance from centre of rotation
   • Describe
     • Name: Rotation
     • Angle in degree
     • Direction
       • Clockwise
       • Anti-clockwise
     • Centre of rotation
       • Join image-object lines
       • Draw perpendicular bisector
       • Intersected perpendicular lines is the centre
   • Matrix
     • About origin (0,0)
       • Clockwisw 90degree
       • Anti-Clockwise, 90 degree
       • Clk& anticlk, 180degree

5. OTHERS

   • Find matrix
     • Matrix x Object = Image
       • MO = I
   • COMBINED TRANSFORMATION
     • Inverse transformation matrix
       • When matrix P maps A onto B and then matrix Q maps B onto A

Images and files in the map