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This series uses rendering software with proper perspective. For a flyby (movie) click here. A comparison of mono and multifractal processes, various anisotropies. The left column is isotropic (self-similar), the middle column is anisotropic with G indicated with roughly circular sphero-scale at 1 pixel, the right column has same anisotropic G, but more anisotropic unit ball. This shows scale functions (top row and fBm bottom row with parameter H=0.7 (corresponding to continental statistics; see Gagnon et al 2005). From left to right, we change the anisotropy. Left is self-similar (isotropic), right two are symmetric with respect to c=0.2, e=0.05. In the middle, the unit ball is circular at 1 pixel, at right, It has the form r(q)=1+0.65 Cos(3q). In the fBm, one mainly perceives textures, there are no very extreme mountains or other morphologies evident. | next > |
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