Abstract
In this research, the authors studied the self-similar fractal dimension of isotropic surface asperities such as lapped surface. As the self-similar fractal, we used the clusters in contour map of three-dimensional asperity profile. Fractal dimension was obtained from the perimeter length and the area of clusters which were computed by means of the newly developed diagonal-method and the mesh counting method. It was made clear that the self-similar fractal dimension was more available to assess the complexity of asperities than the self-affined fractal dimension.
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