Fractal Dimension correlated with Noise and Spatial Resolution in Medical Images

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  • UEMURA Koji
    Dept.of Electronics, Information and Communication Engineering, Waseda Univ.
  • TOYAMA Hinako
    PET Center, Tokyo Metropolitan Inst.Gerontology : National Institute of Radiological sciences
  • KOBAYASHI Akio
    Dept.of Electronics, Information and Communication Engineering, Waseda Univ.
  • SENDA Michio
    PET Center, Tokyo Metropolitan Inst.Gerontology
  • UCHIYAMA Akihiko
    Dept.of Electronics, Information and Communication Engineering, Waseda Univ.

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Other Title
  • 医用画像におけるフラクタル次元とノイズと分解能
  • イヨウ ガゾウ ニ オケル フラクタルジゲン ト ノイズ ト ブンカイノウ

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The relationship among fractal dimension, noise and spatial resolution was investigated. Fractal dimension images were generated by Boxcount method for simulation data sets(FBM:Fractional Brownian Motion)and clinical data sets(MRI and PET glucose metabolic rate and cerebral blood flow images of the brain surface). In the image with low fractal dimension, the fractal dimension was markedly overestimated by noise. However, by using appropriate smoothing to reduce noise, the texture of the images can be evaluated by fractal dimension. In clinical applications, the difference of fractal diension between patients and a control subject was evaluated.

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