Natural phenomena are typically dynamic and interactive ones and lead to unexpected behaviour in certain situations. Models are created for understanding these phenomena, but they are very complex. So the phenomenon is impossible to simulate (or predict) before it actually occurs. However, with the advent of the Chaos Theory, numerous complex natural phenomena have been described in a simplified way. Another important point of this theory is the measurement of the objects’ fractal dimension. The goal of this work is to extend the measurement of fractal dimension using the Box-Counting Method for 3D surfaces and show its adequacy for those dynamic systems that can be described through surfaces. A parallel version of the original method has already been developed and applied to 2D images using a four 320C40 DSPs parallel machine. Both, the original and extended versions, have been implemented and tested using Brownian motion. The 3D case surfaces were generated using the IDL graphic software.

        Keywords: Chaos Theory, Box Count Method, Dynamic Systems.