ISSN:
1432-0630
Keywords:
68.35.Bs
;
68.90.+g
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Physics
Notes:
Abstract It is shown that fractal dimensions along line transects of a stationary, stochastic surface are all identical to one another, save that in one special direction the dimension may be less than in all others. We discuss the implications of this result for practical measurement of surface roughness and for interpretation of fractal dimension. It is argued that the result provides significant new motivation for employing fractal dimension as a canonical measure of surface roughness. Nevertheless, in view of the virtual direction-invariance of fractal dimension, measurement of scale assumes new significance. This matter is addressed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01538402
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