could any one help me, how to generate fractal synthetic images using fbm in terms of gray scale and color images
You could use some of the following C routines to generate fractal synthetic images using fbm. The link to the Heman Overview:
http://heman.readthedocs.io/en/latest/overview.html
These routines allow to handle with:
Creating random height fields using simplex noise and FBM.
Generating a normal map from a height map using forwarding differencing.
Efficiently computing ambient occlusion from a height map.
Generating a signed distance field (SDF) using a fast algorithm.
Exporting a 3D mesh in PLY format.
Applying a color gradient to a heightmap (LUT).
Generating a color gradient, given a list of control points.
Computing diffuse lighting with an infinite light source.
Hope you find this useful for your objective.
Bye!
There are several methods to synthesize fractal images. It depend on data (isotropic or anisotropic). You can find Cholesky, Weierstrass-Mandelbrot,...but for exact data I recommend for you to use the Stein method which is a fast and exact synthesis method for isotropic fBm images.
M. Stein. Fast and exact simulation of fractional Brownian surfaces. Journal of computational and graphical statistics , 11(3):587–599, 2002
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