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Fractal-wavelet image denoising revisited.

Mohsen Ghazel1, George H Freeman, Edward R Vrscay

  • 1Department of Electrical and Computer Engineering, Faculty of Engineering, University of Waterloo, Waterloo, ON N2L 3G1, Canada. mghazel@ece.ubc.ca

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|September 5, 2006
PubMed
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Fractal image denoising effectively predicts image details using fractal codes. These fractal-wavelet methods compete well with standard wavelet denoising techniques.

Area of Science:

  • Digital Image Processing
  • Signal Processing
  • Computer Vision

Background:

  • Image denoising aims to restore a clean image from a corrupted observation.
  • Fractal-based methods offer a novel approach to image denoising by predicting fractal codes.
  • Wavelet transforms are widely used for image denoising, providing a benchmark for performance.

Purpose of the Study:

  • To evaluate the effectiveness of fractal-wavelet denoising schemes in predicting image components.
  • To compare the performance of different fractal-wavelet denoising methods against standard wavelet thresholding.
  • To investigate the impact of cycle spinning on fractal-based image denoising.

Main Methods:

  • Fractal image denoising using fractal code prediction.

Related Experiment Videos

  • Fractal-wavelet denoising with fixed and quadtree partitioning.
  • Application of cycle spinning to enhance denoised estimates.
  • Comparison with standard wavelet thresholding techniques.
  • Main Results:

    • Fractal-wavelet denoising accurately predicts parent wavelet subtrees.
    • Fractal-based methods demonstrate competitive performance against wavelet thresholding.
    • Cycle spinning improves denoised image quality in fractal-based schemes.
    • Pixel-based and wavelet-based fractal denoising schemes show varying performance.

    Conclusions:

    • Fractal-wavelet denoising is a viable and competitive alternative to traditional wavelet thresholding.
    • The choice of partitioning strategy and the use of cycle spinning influence denoising performance.
    • Further research can explore hybrid approaches combining fractal and wavelet techniques for optimal image restoration.