ISSN:
1432-2315
Keywords:
Fractals
;
Recursive midpoint subdivision
;
Revolution volumes
;
Stochastic textures
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
Notes:
Abstract For producing numerous frames as in computer animation, the direct application of the Mandelbrot theory of fractals is very expensive. The recursive midpoint subdivision is much more efficient although it sacrifices mathematical purity for execution speed. In our implementation, fractal polygons are created using subdivisions of meshes of triangles. But the midpoint is randomly generated inside a revolution volume where the axis is the edge itself. Based on this implementation, we study the impact of three geometric parameters for controlling this algorithm: the edge threshold, the eccentricity of the smallest cylinder surrounding the revolution volume and the displacement of the revolution volume towards the segment center. Several examples are provided. The subdivision algorithm is also applied to generate textures by perturbation of the normal length.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01962895
