Create, Measure, Characterize, Visualize 1D, 2D, 3D Fractals

Creation of fractal curves, surfaces, & volumetric density as well as techniques to measure 1D, 2D, and 3D fractal dimension and fractalness

Midpoint Displacement Method (original algorithm for 3D and 2D)
Fractal Zooming of images
Infinite Fractal Zooming of Fractal Surfaces
Spectral Synthesis of 1D, 2D, and 3D fractals
Measure Fractal Dimension with Power Spectral Density
Measure Fractal Dimension with 2nd Order Spatial Statistics
Both Global and Local (Neighborhood) Fractal Dimension
Fractalness - degree to which a texture is a fractal is determined