Is the optical image of a non-Lambertian fractal surface fractal?

Is the optical image of a non-Lambertian fractal surface fractal?

This letter generalizes Pentland's result about the fractal dimension of the optical image of rough natural surfaces, without imposing his requirement that the reflection is Lambertian. Instead, it is assumed that the reflectance coefficient is proportional to the focusing/defocusing due to loc...

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Veröffentlicht in:IEEE geoscience and remote sensing letters 2005-10, Vol.2 (4), p.380-383
1. Verfasser: Korvin, G.
Format: Artikel
Sprache:eng
Schlagworte:
Focusing
Fractal image
fractal surface
Fractals
Gaussian processes
Image analysis
Lambertian reflection
optical image
Optical reflection
Optical surface waves
Reflectivity
Rough surfaces
Surface roughness
Surface waves
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Beschreibung
Zusammenfassung:This letter generalizes Pentland's result about the fractal dimension of the optical image of rough natural surfaces, without imposing his requirement that the reflection is Lambertian. Instead, it is assumed that the reflectance coefficient is proportional to the focusing/defocusing due to local surface curvature. It will be proved for this case that the density distribution across the optical image inherits the fractal dimension of the mapped surface.
ISSN:1545-598X
1558-0571
DOI:10.1109/LGRS.2005.848531