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A fractal and multifractal analysis of simulated sea surface using the box-counting method: some preliminary results

机译:模拟海面采用箱计数方法的分形和多分析分析:一些初步结果

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For the monitoring of oil spill events through SAR sensing it may be useful to evaluate the fractal characteristics of the sea surface, smoother where an oil film covers it. In our work the sea surface is approximated by the band-limited generalized Weierstrass-Mandelbrot two-dimensional functions. Fractal analysis is performed using the box-counting method, relying on a regression relation between the fractal dimension D{sub}(BC) of a surface S and the numbers of cubic boxes with (small) side size δ required to completely enclose S. After defining a normalised measure μ on the fractal surface S, we calculate also the Legendre spectrum f(a). Some results are reported and commented.
机译:对于通过SAR感测的石油泄漏事件监测,评估海面的分形特征,更平稳的油膜覆盖它可能是有用的。 在我们的工作中,海面近似于频带有限的广义Weierstrass-mandelbrot二维功能。 使用盒子计数方法进行分形分析,依赖于表面S的分形尺寸D {Sub}(BC)与具有完全包围S所需的(小)侧尺寸δ的立方盒的数量之间的回归关系。 在分形表面S定义归一化测量μ之后,我们也计算了Legendre Spectrum F(A)。 报告并评论了一些结果。

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