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Improved Image Coding Algorithm Based on Embedded Zerotree Jielong Chen, Jing Yang, International Congress on Image and Signal Processing(CISP), Tianjin, pp. 1-4, Oct. 2009. Student: Chien-Nan Lin Outline Introduction Review Proposed of Improved EZW algorithm Simulate 2/19 Introduction Based on analyzing the algorithm of EZW, an improved image coding algorithm is presented. that the coding\decoding time is much reduced and the volume of coded stream is much smaller compared with the reference algorithm. 3/19 Outline Introduction Review Proposed of Improved EZW algorithm Simulate 4/19 Review DWT : 5/19 Review DWT : 6/19 Review DWT : 60 34 45 8 7 13 - 10 7 - 30 22 14 - 6 3 4 6 -1 - 13 15 3 - 8 5 -7 - 3 6 -9 - -7 - - 14 8 4 -2 - 3 2 -5 - 8 -1 - 42 2 6 -2 - 2 3 0 -3 - 2 3 -2 - 0 4 2 -3 - 6 -6 - 3 4 2 5 5 8 2 6 0 3 -4 - 4 7/19 Review EZW : LL3 HL3 HL 3 LH 3 HH 3 LH3 HH3 LH 2 HL1 HH2 LH2 HL 2 Image HH 2 DWT LH 1 LH1 HL 1 HL2 HH1 HH 1 8/19 Review EZW : LL3 HL3 HL2 LH3 HH3 HL1 LH2 HH2 LH1 HH1 9/19 Review EZW : 1. Dominant pass 2. Subordinate pass 60 34 45 8 7 13 --10 7 --30 22 14 -6 3 4 6 --1 13 15 3 -8 5 --7 3 6 --9 --7 --14 8 4 --2 3 2 --5 8 --1 42 2 6 --2 2 3 0 --3 2 3 --2 0 4 2 --3 6 --6 3 4 2 5 5 8 2 6 0 3 --4 4 10/19 Review T=32 (Threshold = 2 log 2 60 ) Dominate pass:PS(60)、PS(34)、IZ(-30)、 ZR(22)、PS(45)、ZR(8)、 ZR(14)、ZR(-6)、ZR(13)、 IZ(15)、ZR(-9)、ZR(-7)、 ZR(7)、ZR(13)、ZR(3)、ZR(4)、 ZR(-1)、PS(42)、ZR(-3)、ZR(2) Subordinate pass:UP、Lo、Lo、Lo 11/19 Outline Introduction Review Proposed of Improved EZW algorithm Simulate 12/19 Proposed of Improved EZW Algorithm IMPROVED EZW : Let a denotes the wavelet coefficient, b denotes a positive integer, m and n are integers respectively. We can represent a as a=b*m+n , then m=a/b and n=a%b . max denotes the maximum absolute value. b 2(i 1) , 2i max1/ 2 2(i 1) 13/19 Proposed of Improved EZW Algorithm a=b*m+n 63=8*7+7 -34=8*(-4)+(-2) ……….. 14/19 Proposed of Improved EZW Algorithm a=b*m+n 63=8*7+7 15/19 Proposed of Improved EZW Algorithm 16/19 Outline Introduction Review Proposed of Improved EZW algorithm Simulate 17/19 Simulate 18/19 Simulate 19/19