Abstract
In order to test and understand the characterization tools, and to compare real surfaces, it is important to be able to generate fractal profiles and surfaces using mathematical models. The description in Chapter 1 of a patterned Koch profile shows one way to do this for a line profile. A similar effect for surfaces can be achieved by adding and removing blocks; as smaller and smaller blocks are added and removed from the surface, the volume beneath it is not changed but the surface area increases without bound. The pattern of blocks added and removed may either be strict (as in the classic Koch fractals) or randomized.
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© 1994 Springer Science+Business Media New York
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Russ, J.C. (1994). Modeling Fractal Profiles and Surfaces. In: Fractal Surfaces. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2578-7_6
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DOI: https://doi.org/10.1007/978-1-4899-2578-7_6
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-2580-0
Online ISBN: 978-1-4899-2578-7
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