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Fast fractal image encoding based on adaptive search.

C S Tong1, M Pi

  • 1Dept. of Math., Hong Kong Baptist Univ. cstong@hkbu.edu.hk

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|February 8, 2008
PubMed
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This study introduces an adaptive search method to accelerate fractal image compression. The new approach significantly reduces computational complexity and improves performance compared to traditional methods.

Area of Science:

  • Computer Science
  • Image Processing
  • Data Compression

Background:

  • Fractal encoding offers high compression ratios but suffers from significant computational complexity.
  • Existing methods often struggle with efficiency due to exhaustive search processes.
  • Optimizing the encoding parameters is crucial for practical applications.

Purpose of the Study:

  • To develop a novel adaptive search strategy for fractal encoding.
  • To decrease the computational cost associated with fractal image compression.
  • To enhance the efficiency and performance of fractal-based image compression techniques.

Main Methods:

  • Introduction of an adaptive necessary condition to prune search space for domain blocks.
  • Analysis and utilization of an unconventional affine parameter offering improved properties over luminance offset.

Related Experiment Videos

  • Formulation of an optimal bit allocation scheme for quantizing scaling and affine parameters.

    • Main Results:

    • The adaptive search approach significantly speeds up the fractal encoding process.
    • The proposed method effectively reduces the number of unqualified domain blocks considered.
    • Experimental results demonstrate superior performance compared to conventional fractal encoding methods.

    Conclusions:

    • The developed adaptive search method is highly effective in reducing computational complexity for fractal encoding.
    • The unconventional affine parameter and optimal bit allocation contribute to improved compression performance.
    • This research offers a more efficient and practical solution for fractal image compression.