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On the imaging of fractal surfaces

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2 Author(s)
Kube, P. ; Dept. of Comput. Sci. & Eng., California Univ., San Diego, CA, USA ; Pentland, A.

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

Published in:

Pattern Analysis and Machine Intelligence, IEEE Transactions on  (Volume:10 ,  Issue: 5 )

Date of Publication:

Sep 1988

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