• DocumentCode
    1382161
  • Title

    On the imaging of fractal surfaces

  • Author

    Kube, Paul ; Pentland, Alex

  • Author_Institution
    Dept. of Comput. Sci. & Eng., California Univ., San Diego, CA, USA
  • Volume
    10
  • Issue
    5
  • fYear
    1988
  • fDate
    9/1/1988 12:00:00 AM
  • Firstpage
    704
  • Lastpage
    707
  • Abstract
    An analysis is presented of the imaging of surfaces modeled by fractal Brownian elevation functions of the sort used in computer graphics. It is shown that, if Lambertian reflectance modest surface slopes and the absence of occlusions and self shadowing are assumed, a fractal surface with Fourier power spectrum proportional to f β produces an image with power spectrum proportional to f2-β; here, f is the spatial frequency and β is related to the fractional dimension value. This allows one to use the spectral falloff of the images to predict the fractal dimension of the surface
  • Keywords
    Fourier transform spectra; computerised picture processing; fractals; Fourier power spectrum; Lambertian reflectance; computerised picture processing; fractal Brownian elevation functions; fractional dimension value; surface imaging; Artificial intelligence; Computer graphics; Computer science; Filtering; Fractals; Helium; Image analysis; Image texture analysis; Shape; Surface texture;
  • fLanguage
    English
  • Journal_Title
    Pattern Analysis and Machine Intelligence, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0162-8828
  • Type

    jour

  • DOI
    10.1109/34.6779
  • Filename
    6779
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1382161