For calculating the fractal dimension, the standard method uses a compass that with a specific radius, an arc is drawn to find the points that intercept the curve. An important consideration when making a measurement using the compass or ruler method is to consider the impact of the observer. Most of the rules are read by the user and are therefore very susceptible to misreading or visual errors. The main contribution of this work lies in the development of an algorithm for calculating the fractal dimension of fluctuating continuous functions, over a fractally divided space, from which it is possible to obtain also the integral of the function with an acceptable precision using the trapezoid rule compound.

中文翻译：

---

计算波动连续函数的分形维数和数值积分的算法

为了计算分形维数，标准方法使用具有特定半径的罗盘，绘制圆弧以找到与曲线相交的点。使用指南针或尺子方法进行测量时，一个重要的考虑因素是考虑观察者的影响。大多数规则由用户阅读，因此很容易出现误读或视觉错误。这项工作的主要贡献在于开发了一种算法，用于在分形划分的空间上计算波动连续函数的分形维数，从中可以使用梯形规则获得具有可接受精度的函数积分化合物。