Classical photometry of prefractal surfaces.
Using the scale invariance of classical photometry, we develop an approach to finding the photometric function of prefractal structures that form a random topography. The photometric function of the prefractal surfaces is found as the general solution of the resulting differential equation in partial derivatives. The function depends on two parameters: the number of hierarchical levels of the prefractal structures and the roughness parameter of the single-level generation. As a limiting case, the approach includes our previous theory that considered fractoids.
Shkuratov
Yuriy
Y
Astronomical Observatory of Kharkov University, 35 Sumskaya Street, Kharkov 61022, Ukraine. shkuratov@vk.kh.ua
Petrov
Dmitriy
D
Videen
Gorden
G