Fractal Measurements of Projection Microstructures

Abstract

The main task of the fractal measurements is to determine the fractal dimension. Usually, a physical object is fractal only within a limited range of scales. The scaling range, often characterized by a length, should be determined because it is usually associated with a characteristic size of the object. This length is called the “fractal characteristic length”. The methods for determining the fractal parameters (fractal dimension and fractal characteristic length) depend on the direct applications of fractal theory. The measurement effort therefore turns on estimating the quantities such as perimeter, area, height or properties at different scales, which are related to the fractal parameters.