On the Self-Affinity of Various Curves
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概要
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A numerical method proposed here enables 118 to scale-independently analyze 'theself-affinity of various curves such as noise and real topographical curves. The lenjgthN and variances for two appropriately chosen coordinates, X' and Z', of a curve ,aremeasured between two arbitrary points on the curve by usintg the smallest fixed scrtle.The self-affinity is confirmed by testing whether X and Z are scaled as X -N" andZ -7V". The method is applied to transect profiles of real mountain topograplty,which is found to be self-affine with v.= 1 for the horizontal and v.< 1 for the verticalcoordinate variations. The consistency of a scaling relation (D=2 -H) betwee?t aself-affine profile with H= v. and a self-similar contour with the fractal dimensiort Din the same arca is also discussed.
- 社団法人日本物理学会の論文
- 1989-05-15
著者
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MATSUSHITA Mitsugu
Department of Physics, Chuo University
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OUCHI Shunji
Institute of Geosciences, Chuo University
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Ouchi Shunji
Institute Of Geosciences Chuo University
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Ouchi S
Chuo Univ. Tokyo
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Matsushita Mitsugu
Department Of Physics
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Ouchi Shunji
Institute of Geosciences,Chuo University
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