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
fDate :
9/1/1988 12:00:00 AM
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;
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on
