A new approach to estimate fractal dimensions of corrosion images

A new approach is proposed based on box-counting method to estimate the fractal dimensions, D-2d and D-3d of corrosion images. They denote two-dimensional (2D) and three-dimensional (3D) characteristics of corroded surface morphology. The results have been tested through dealing with classical fractal figures, pit morphology of moon surface and practical corroded samples etc. to show that this new method is computationally simple, convenient and accurate. More specially, D-2d and D-3d have definite corrosion expressions, which respectively denote the fractal dimensions for pit diameter distribution and pit depth distribution on real corroded surface. (c) 2006 Elsevier B.V. All rights reserved.