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Bit plane Compression

The bit plane compression is a lossy data compression

Example:

Explain with a simple example how to encoding and decoding are carried out in bit plane compression. In this example, the MSB (most significant bit) alone is considered and encoded.

 

Apply bit plane compression and decompression in the following image.

 

 

Step1: Obtain binary of the values in the image

 

Step2: Extract the MSB (most significant bit)

Step3: Rearrange the MSB values such that each row contains 8 columns or 8 bits

1

0

0

0

1

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1

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1

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0

 

{we have 3x6=18 values but we need 8 columns in each row. It achieved by padding the matrix with zeros in the end in order to form a matrix which has 8 columns in each row.}

Step4: Convert binary in each row to decimal number

10001001 = 137

10011110 =158

11000000 = 192

 

 

 

137

158

192

 

 

Decompression

Step1: Our compressed data =

137

158

192

Convert the decimal values to binary format

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Step2: Remove extra zeros appended to the matrix

Step3: reshape the matrix to size of the original image.

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1

 

Step4: Pre allocate a matrix of same size of original image and replace the MSB of each value in the matrix with the bit we decompressed in the previous step.

10000000

00000000

00000000

00000000

10000000

00000000

00000000

10000000

10000000

00000000

00000000

10000000

10000000

10000000

10000000

00000000

10000000

10000000

 

Step5: Display the final data

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128

 

Original Image:

 

 

 

180

1

80

33

201

28

120

224

160

33

67

144

224

160

180

11

133

144

After applying compression and decompression:

128

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0

0

128

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128

128

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128

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128