Simulation of Aggregates with Point-Contacting Monomers in the Cluster–Dilute Regime. Part 1: Determining the Most Reliable Technique for Obtaining Three-Dimensional Fractal Dimension from Two-Dimensional Images

Figures & data

FIG. 1 Comparison plot, with median values and lower and upper quartile designations, for 3-d fractal dimension versus 2-d fractal dimension calculated using the Nested Squares method (NSM).

FIG. 2 Comparison plot, with median values and lower and upper quartile designations, for 3-d fractal dimension versus 2-d fractal dimension calculated using the Perimeter Grid Method (PGM).

FIG. 3 Comparison plot, with median values and lower and upper quartile designations, for 3-d fractal dimension versus 2-d fractal dimension calculated using the Ensemble method (EM).

FIG. 4 Plot showing the piece-wise linear correction factor for adjusting measured values of 2-d fractal dimension using the Ensemble Method to their actual 3-d values.

FIG. 5 Plot of the difference between the 75th and 25th percentiles for measured 2-d fractal dimension using the Ensemble Method (EM) for both stable and unstable aggregate orientations against actual 3-d fractal dimension.