Image Processing Fundamental II

1
Image Processing Fundamental II

• Operation Transform

2
Digital Image Operation Transformation

• Digital Image Operation
• Arithmetic Operation
• Logic Operation
• Transformation
• Translation
• Rotation
• Flip

3
Arithmetic Operation

• The arithmetic operations between two pixels p
  and q are denoted as followed
• Subtraction p q
• Addition p q
• Multiplication p q
• Division p / q

4
Arithmetic Operation

• Operation on entire images are carried out pixel
  by pixel.
• If the result is real, truncate its value
• If the result is over range, pick the maximum
  value
• If the result if under range, pick the minimum
  value

5
Addition Operation
IMAGE 2
IMAGE 1 IMAGE 2
IMAGE 1
100
0
0
0
0
200
100
0
0
100
200
0
0
0
0
100
6
Subtraction Operation
IMAGE 2
IMAGE 1 - IMAGE 2
IMAGE 1
0
0
Image subtraction is a basic tool in medical
imaging, where it is used to remove static
background information
7
Multiplication Operation
IMAGE 2
IMAGE 1 IMAGE 2
IMAGE 1
-100
0
0
0
0
0
10000
0
0
0
0
10000
0
0
0
0
-100
0
8
Division Operation
IMAGE 2
IMAGE 1 / IMAGE 2
IMAGE 1
-100
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
-100
0
9
Arithmetic Operation

• Let there is 1 input images
• p is denoted of a pixel in digital image and
• c is a constrain.
• Addition p c
• Subtraction p c
• Multiplication p c
• Division p / c

10
Arithmetic Operation

• Example
• Addition p 10
• Subtraction p 10
• Multiplication p 10
• Division p / 10

11
Logic Operation

• Principal logic operations used in image
  processing are AND, OR, and COMPLEMENT, denoted
  as follows
• AND p AND q
• OR p OR q
• NOT NOT q

12
OR Operation
IMAGE 2
1 OR 2
IMAGE 1
255
255
255
255
255
0
0
255
255
0
0
255
255
255
255
255
13
AND Operation
IMAGE 2
1 AND 2
IMAGE 1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
14
AND Operation
NOT IMAGE 1
IMAGE 1
15
Transformation
translate
rotate
flip
16
Translation

• It can be written in function as

17
Rotation

• It can be written in function as

18
FLIP
MxN

• Horizontal
• Vertical