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For 3 bit, 4x4 size image perform the following operations i)Thresholding ii)Bit plane slicing for LSB and MSB planes.

For the 3-bit 4x4 size image perform the following operation

  1. Thresholding with T=4
  2. Intensity level slicing with background r1=2 and r2=5
  3. Bit plane slicing for MSB and LSB plane
  4. Negation
4 2 3 0
1 3 5 7
5 3 2 1
2 4 6 7
1 Answer
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  1. Thresholding:

    Since the image is 3 bit ,L=23=8

    For thresholding

    $S=\bigg\{^{L-1 \ \ \ \ r≥T}_{0 \ \ \ \ otherwise}$

    Here,L-1=7,T=4

    7 0 0 0
    0 0 7 7
    7 0 0 0
    0 7 7 7
  2. Intensity level slicing with background $r_1=2$ and $r_2=5$:

    $S=\bigg\{^{L-1 \ \ \ \ \ \ r1≤r≤r2}_{r \ \ \ \ \ \ \ otherwise}$

    Here,L-1=7,2 ≤r≤5

    7 7 7 0
    1 7 7 7
    7 7 7 1
    7 7 6 7
  3. Bit plane slicing for MSB and LSB plane:

    We convert the original image into a 3-bit binary image

    100 010 011 000
    001 011 101 111
    101 011 010 001
    010 100 110 111

    We create three planes from the bit positions

    1 0 0 0
    0 0 1 1
    1 0 0 0
    0 1 1 1

    MSB plane

    0 1 1 0
    0 1 0 1
    0 1 1 0
    0 0 1 1
    0 0 1 0
    1 1 1 1
    1 1 0 1
    0 0 0 1

    LSB plane

  4. Negation:

    Image neagative is given by the formula

    S=(L-1)- r

    Therefore,s=7-r

    3 5 4 7
    6 4 2 0
    2 4 5 6
    5 3 1 0
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