A proper characterization of the topography of grinding wheel surfaces is very important for understanding grinding performances. The wheel topography which is comprised of the spatial distribution of abrasive grains over the wheel surface and their morphology suggests a fractal structure. Then fractal geometry which can produce a numerical description of an indescribably rugged surface was applied to characterize such a geometrical structure. It has quantitatively been evidenced by measured fractal dimensions that both the complexity of morphology of cutting edges and the irregularity of their distribution increase through dressing process. However, it has been indicated that the complexity of cutting edge's morphology decreases by wheel wears, such as attritious wear and grain fracture.
