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Proceedings Paper

Method for generating fractal mountains with controllable macroscopic shapes by spectral synthesis
Author(s): Humin Wang
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Paper Abstract

Let a 2D random function X(x,y) to denote fBm with exponent 0 < H < 1, then its spectral density Sx(u,v) has relation: Sx(u,v) 1/(u2 + v2)H+1. Such algorithm based on fBm has shown us beautiful pictures of fractal mountains. But the mountains (fractal surfaces) were produced naturally by random process. As a result, the macroscopic shapes and global positions of fractal mounts are not controllable. This paper presents a method that generates fractal mountains with controllable macroscopic shapes and positions using spectral synthesis. First, the discrete data of Y(x,y) on finite grids are inputted, and FFT is employed to produce discrete spectral F(u,v). Second, by InvFFT, low frequency components of F(u,v) together with high frequency components of F(u,v) are transformed to produce Z(x,y)--fractal surface. The macroscopic shapes are controlled by low frequency; meanwhile, the high frequency describes texture of fractal mountains.

Paper Details

Date Published: 22 March 1996
PDF: 5 pages
Proc. SPIE 2644, Fourth International Conference on Computer-Aided Design and Computer Graphics, (22 March 1996); doi: 10.1117/12.235540
Show Author Affiliations
Humin Wang, Tsinghua Univ. (China)


Published in SPIE Proceedings Vol. 2644:
Fourth International Conference on Computer-Aided Design and Computer Graphics
Shuzi Yang; Ji Zhou; Cheng-Gang Li, Editor(s)

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