4.7 Article

Discrete wavelet transform-based simple range classification strategies for fractal image coding

Journal

NONLINEAR DYNAMICS
Volume 75, Issue 3, Pages 439-448

Publisher

SPRINGER
DOI: 10.1007/s11071-013-1076-4

Keywords

Fractal image coding; Discrete wavelet transform; Range classification; Variance sorting; High compression ratio

Funding

  1. National Natural Science Foundation of China [61370145, 61173183, 60973152]
  2. Doctoral Program Foundation of Institution of Higher Education of China [20070141014]
  3. Program for Liaoning Excellent Talents in University [LR2012003]
  4. National Natural Science Foundation of Liaoning province [20082165]
  5. Fundamental Research Funds for the Central Universities [DUT12JB06]

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An efficient fractal method based on discrete wavelet transfer is proposed in this paper. Before encoding, images with one-level wavelet transform are first partitioned into four subbands, which classify the range blocks as four types. An accelerated fractal coding method called variance sorting (VS) scheme with high reconstructed quality is addressed for the low-frequency components. Hereafter, the low-frequency part rebuilt performs one-level wavelet decomposition once again. The first-level high-frequency subbands excluding the diagonal directions are predicted according to the next coarser frequency scale in the same directions. Simulation experimental results compared with other classification algorithms demonstrate that the proposed method can obtain high compression ratio and reduce the encoding time without significant loss in the reconstructed image quality.

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