Image Processing Fundamental II Operation & Transform

Digital Image Operation & Transformation  Digital Image Operation Arithmetic Operation Logic Operation  Transformation Translation Rotation Flip

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

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

Addition Operation IMAGE 1 IMAGE 2IMAGE 1 + IMAGE 2

Subtraction Operation IMAGE 1 IMAGE 2IMAGE 1 - IMAGE Image subtraction is a basic tool in medical imaging, where it is used to remove static background information

Multiplication Operation IMAGE 1 IMAGE 2IMAGE 1 * IMAGE

Division Operation IMAGE 1 IMAGE 2IMAGE 1 / IMAGE 2 0 0

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

Arithmetic Operation Example  Addition : p + 10  Subtraction : p – 10  Multiplication : p * 10  Division : p / 10

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

OR Operation IMAGE 1 IMAGE 21 OR 2

AND Operation IMAGE 1 IMAGE 21 AND 2

AND Operation IMAGE 1 NOT IMAGE 1

Transformation translate rotateflip

Translation  It can be written in function as

Rotation  It can be written in function as

FLIP  Horizontal  Vertical MxN