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Iteration-free fractal image coding based on efficient domain pool design.

H T Chang1, C J Kuo

  • 1Department of Information Management, Chao YangUniversity of Technology, Wufeng Taichung, 413 Taiwan, ROC. htchang@mail.cyut.edu.tw

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|February 8, 2008
PubMed
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This study introduces novel methods for designing domain pools in fractal image compression, significantly improving coding efficiency and reducing computational complexity. The iteration-free codec offers faster decoding speeds and better image quality compared to traditional methods.

Area of Science:

  • Digital Image Processing
  • Data Compression Algorithms
  • Fractal Geometry Applications

Background:

  • Fractal image compression performance is heavily influenced by domain pool design.
  • Conventional fractal coding schemes suffer from high memory and computation demands due to iterative processes.
  • Existing methods often lack efficiency in domain pool utilization, impacting overall compression performance.

Purpose of the Study:

  • To propose efficient domain pool design methods for fractal image compression.
  • To develop an iteration-free fractal image codec to overcome limitations of conventional schemes.
  • To enhance coding performance and reduce computational complexity in fractal image compression.

Main Methods:

  • Employed the LBG algorithm for domain pool design.

Related Experiment Videos

  • Proposed a block averaging method for efficient domain pool generation.
  • Developed a novel iteration-free fractal image codec.

    • Main Results:

    • Reduced redundancies between generated domain blocks, leading to more efficient domain pools.
    • Achieved improved coding performance compared to conventional fractal coding schemes.
    • Demonstrated excellent performance with both LBG-based and block-averaging methods in the iteration-free scheme.
    • The block-averaging method resulted in at least a 0.5 dB higher PSNR and an eight-time faster decoding speed for the Lena image compared to iterative methods.

    Conclusions:

    • The proposed LBG-based and block-averaging domain pool design methods significantly enhance fractal image compression.
    • The iteration-free fractal codec effectively addresses memory, computation, and decoding speed issues.
    • These advancements offer a more efficient and faster approach to fractal image compression with superior image quality.