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In thinning the boundary of the object is subtracted from the object.
For a image A and a Composite structuring element $B = (B_1,B_2),$Thinning can be defined as,
AØB = A∩(A B)
Eg: A
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
---|---|---|---|---|---|---|---|
0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
A B
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
---|---|---|---|---|---|---|---|
0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
AØB = A∩(A B)
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
---|---|---|---|---|---|---|---|
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |