Compress the given image using the Huffman encoding technique. Also compute the entropy of the image
Homework Answers
step 1:
Image size is 6*6
Frequency:
frequency probablity(frequency/36)
symbol 101 9 0.25
symbol 105 6 0.17
symbol 120 10 0.27
symbol 123 3 0.08
symbol 192 8 0.23
-
so symbol 120 can be encoded as 00
so symbol 101 can be encoded as 01
so symbol 192 can be encoded as 11
so symbol 105 can be encoded as 100
so symbol 123 can be encoded as 101
Entropy=summation(-probability*(log2(probability))
Entropy of the image= -0.27*log2(0.27) -0.25*log2(0.25) -0.23*log2(0.23) -0.17*log2(0.17) -0.08*log2(0.08)
= 2.22367
Hope the solution is useful
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