Shih_Image_Processing_and_Mathematical_Morpholo.pdf

14 Image Processing and Mathematical Morphology
AND
OR
Input A Input B Output Input A Input B Output
0 0 0
0 0 0
0 1 0
0 1 1
1 0 0
1 0 1
1 1 1
1 1 1
NAND
NOR
Input A Input B Output Input A Input B Output
0 0 1
0 0 1
0 1 1
0 1 0
1 0 1
1 0 0
1 1 0
1 1 0
Input A
XOR
Input B Output
0 0 0
0 1 1
1 0 1
1 1 0
NOT
A A
0 1
1 0
FIGURE 2.2 The truth tables of AND, OR, NOT, NAND, NOR, and XOR operations.
tables of each logical operation illustrating all of the input combinations are
shown in Figure 2.2. Their schematic symbols used in circuit diagrams are
shown in Figure 2.3.
A binary image consists of object pixels 1 and background pixels 0, which
can be interpreted as true and false, respectively, in the truth tables. By applying
this concept, one can conduct logic operations on binary images by simply
Input A
Input B
Input A
Input B
InputA Output
InputB (a) (b)
A A –
(c) (d)
Output
Input A
Input B
Input A
Input B
(e) (f)
Output
Output
Output
FIGURE 2.3 The schematic symbols used in circuit diagrams of (a) AND, (b) OR, (c) NOT,
(d) NAND, (e) NOR, and (f) XOR operations.