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A novel method to reduce computation of JPEG2000 encoding is proposed. The main concept is that most of the computation in the entropy coder (EBCOT Tier-1) of JPEG2000 is redundancy especially at lower bit-rates, and the proposed method can greatly reduce this redundancy through the feedback of EBCOT Tier-2 processing. By the information generated from Tier-2, the computing time of EBCOT Tier-1 at irreversible wavelet transform mode (9-7 filter) can be reduced to about 40% and 20% at general and high compression rates, respectively. And there is even more reduction at reversible wavelet transform mode (5-3 filter).