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Triangulation method fractals

Figure 3. Process of determination of the self-similar fractal dimension of the three-dimensional surface by the triangulation method. Figure 3. Process of determination of the self-similar fractal dimension of the three-dimensional surface by the triangulation method.
Figure 9. Dependence of the scaled length SL on the projected segment size SS on a logarithmic scale obtained from the self-affine fractal profiles in Figure 7 by using the triangulation method for Euclidean two-dimensional space. Flere, S means d In SL / d In SS. Reprinted from H. -C. Shin et al., A study on the simulated diffusion-limited current transient of a self-affine fractal electrode based upon the scaling property, J. Electroanal. Chem. 531, p. 101, Copyright 2002, with permission from Elsevier Science. Figure 9. Dependence of the scaled length SL on the projected segment size SS on a logarithmic scale obtained from the self-affine fractal profiles in Figure 7 by using the triangulation method for Euclidean two-dimensional space. Flere, S means d In SL / d In SS. Reprinted from H. -C. Shin et al., A study on the simulated diffusion-limited current transient of a self-affine fractal electrode based upon the scaling property, J. Electroanal. Chem. 531, p. 101, Copyright 2002, with permission from Elsevier Science.
Fractal Dimensions of the Profiles h(x) at Various Morphological Amplitudes rj in h(x) = 77/wsCv) Determined by the Current Transient Technique (2nd Column) and the Triangulation Method (3rd Column). Here, /ws(-v) Means the Weierstrass Function with a Self-Affine Fractal Dimension t/Fsa = 1.5 ... [Pg.377]

From the above results, it is noted that the self-similar scaling property investigated by the triangulation method can be effectively utilized to analyze the diffusion towards the self-affine fractal interface. This is the first attempt to relate the power dependence of the current transient obtained from the self-affine fractal curve to the self-similar scaling properties of the curve. [Pg.379]

In summary, from the above theoretical and experimental results, it is concluded that ionic diffusion towards self-affine fractal electrode should be described in terms of the apparent selfsimilar fractal dimension rather than the self-affine fractal dimension. In addition, the triangulation method is one of the most effective methods to characterize the self-similar scaling property of the self-affine fractal electrode. [Pg.389]

Several algorithms have been used to determine surface fractal dimension from SPM images. The most popular ones are the power-spectrum method,1 2 68"71 the triangulation method,10 37 ... [Pg.418]

Fractal Dimensions of Self-Affine Fractal Electrodes Determined by the Perimeter-Area Method (2nd Column), the Peak-Current Method (3rd Column), and the Triangulation... [Pg.386]


See other pages where Triangulation method fractals is mentioned: [Pg.355]    [Pg.378]    [Pg.379]    [Pg.386]    [Pg.418]    [Pg.441]    [Pg.442]    [Pg.449]    [Pg.13]   
See also in sourсe #XX -- [ Pg.175 ]




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