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褶皱的定量描述是构造地质学的一个基本问题。利用褶皱分形模拟和分类的方法可以定量描述不同类型的复杂褶皱样式。分形理论能发现自然界中常见的、不稳定的、非线性和不规则的复杂现象中的内在规律。它研究自然界中没有特征长度的形状或集合的自相似性,其形状或集合的复杂程度可以用幂函数的指数D表示,这里的D就是分数维,即分形的维数。根据自然界褶皱具有分形样式的性质,利用分形插值方法模拟褶皱的形态和样式来定量描述不同的褶皱。分形插值实际上是一个建立分形插值函数的过程。根据已知的3个或4个点即插值点坐标值(x_n、y_n)就可以取不同d值利用分形插值程序建立
The quantitative description of folds is a basic problem in structural geology. Using the method of fold fractal simulation and classification, different types of complex fold patterns can be quantitatively described. Fractal theory can discover the inherent laws of the common, unstable, non-linear and irregular complex phenomena in nature. It studies the self-similarity of shapes or sets without characteristic length in nature. The shape or the complexity of the set can be expressed by the exponential D of the power function, where D is the fractional dimension, that is, the fractal dimension. According to the nature of folds in nature with the characteristics of fractal patterns, fractal interpolation method is used to simulate the shape and pattern of folds to quantitatively describe different folds. Fractal interpolation is actually a process of establishing a fractal interpolation function. According to the known three or four points (x_n, y_n) interpolation point coordinates can take different d values established using the fractal interpolation program