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Computer notes - Huffman Encoding

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Huffman code is method for the compression for standard text documents. It makes use of a binary tree to develop codes of varying lengths for the letters used in the original message. Huffman code is also part of the JPEG image compression scheme. The algorithm was introduced by David Huffman in 1952 as part of a course assignment at MIT.

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Class No.24 Data Structures http://ecomputernotes.com
Huffman Encoding ,[object Object],[object Object],[object Object],[object Object],http://ecomputernotes.com
Huffman Encoding ,[object Object],[object Object],[object Object],[object Object],http://ecomputernotes.com
Huffman Encoding ,[object Object],[object Object],[object Object],http://ecomputernotes.com
Huffman Encoding ,[object Object],[object Object],[object Object],http://ecomputernotes.com
Huffman Encoding ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],http://ecomputernotes.com
Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 is equal to sum of the frequencies of the two children nodes. http://ecomputernotes.com a 3
Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 There a number of ways to combine nodes. We have chosen just one such way. http://ecomputernotes.com a 3
Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 2 http://ecomputernotes.com a 3
Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 2 4 4 http://ecomputernotes.com a 3
Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 2 5 4 4 4 6 http://ecomputernotes.com a 3
Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 2 5 4 4 4 8 6 9 10 http://ecomputernotes.com a 3
Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 2 5 4 4 4 8 6 14 9 19 10 http://ecomputernotes.com a 3
Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 2 5 4 4 4 8 6 14 9 19 10 33 http://ecomputernotes.com a 3
Huffman Encoding ,[object Object],[object Object],[object Object],http://ecomputernotes.com
Huffman Encoding ,[object Object],[object Object],[object Object],http://ecomputernotes.com
Huffman Encoding ,[object Object],[object Object],[object Object],http://ecomputernotes.com
Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 2 5 4 4 4 8 6 14 9 19 10 33 1 0 http://ecomputernotes.com a 3
Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 2 5 4 4 4 8 6 14 9 19 10 33 1 0 1 0 1 0 http://ecomputernotes.com a 3
Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 2 5 4 4 4 8 6 14 9 19 10 33 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 http://ecomputernotes.com a 3
Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 2 5 4 4 4 8 6 14 9 19 10 33 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 http://ecomputernotes.com a 3
Huffman Encoding ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],http://ecomputernotes.com
Huffman Encoding ,[object Object],[object Object],[object Object],t r a v e http://ecomputernotes.com
Huffman Encoding ,[object Object],[object Object],[object Object],[object Object],[object Object],http://ecomputernotes.com
Mathematical Properties of Binary Trees http://ecomputernotes.com
Properties of Binary Tree ,[object Object],http://ecomputernotes.com
Properties of Binary Tree ,[object Object],internal nodes: 9 external nodes: 10 external node internal node http://ecomputernotes.com D F B C G A E F E
Properties of Binary Tree ,[object Object],http://ecomputernotes.com
Threaded Binary Tree ,[object Object],Internal links: 8 External links: 10 external link internal link http://ecomputernotes.com D F B C G A E F E
Properties of Binary Tree ,[object Object],[object Object],[object Object],[object Object],[object Object],http://ecomputernotes.com

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Computer notes - Huffman Encoding

  • 1. Class No.24 Data Structures http://ecomputernotes.com
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  • 7. Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 is equal to sum of the frequencies of the two children nodes. http://ecomputernotes.com a 3
  • 8. Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 There a number of ways to combine nodes. We have chosen just one such way. http://ecomputernotes.com a 3
  • 9. Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 2 http://ecomputernotes.com a 3
  • 10. Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 2 4 4 http://ecomputernotes.com a 3
  • 11. Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 2 5 4 4 4 6 http://ecomputernotes.com a 3
  • 12. Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 2 5 4 4 4 8 6 9 10 http://ecomputernotes.com a 3
  • 13. Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 2 5 4 4 4 8 6 14 9 19 10 http://ecomputernotes.com a 3
  • 14. Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 2 5 4 4 4 8 6 14 9 19 10 33 http://ecomputernotes.com a 3
  • 15.
  • 16.
  • 17.
  • 18. Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 2 5 4 4 4 8 6 14 9 19 10 33 1 0 http://ecomputernotes.com a 3
  • 19. Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 2 5 4 4 4 8 6 14 9 19 10 33 1 0 1 0 1 0 http://ecomputernotes.com a 3
  • 20. Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 2 5 4 4 4 8 6 14 9 19 10 33 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 http://ecomputernotes.com a 3
  • 21. Huffman Encoding v 1 y 1 SP 3 r 5 h 1 e 5 g 1 b 1 NL 1 s 2 n 2 i 2 d 2 t 3 2 2 2 5 4 4 4 8 6 14 9 19 10 33 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 http://ecomputernotes.com a 3
  • 22.
  • 23.
  • 24.
  • 25. Mathematical Properties of Binary Trees http://ecomputernotes.com
  • 26.
  • 27.
  • 28.
  • 29.
  • 30.

Notas do Editor

  1. Start of Lecture 26
  2. End of lecture 25.
  3. End of lecture 26
  4. Start lecture 27