multifractal2

微分几何的电子书，很经典的书，通俗易懂,如果要学习微分几何，推荐(this is a book about differential geometry)

说明：  计算图像分形维度，可以方便的计算出不同图像的分形维度(Calculation of fractal dimension of images, you can easily calculate the different images of fractal dimension)

说明：  Fractal using DCT transform

采用结构函数法计算材料界面曲线的分形维数，对应的数据应当为结合界面曲线的.jpg格式，各相关参数的介绍在程序内均有注明。(The fractal dimension of the interface curve of the material interface is calculated by the structural function method. The corresponding data should be in the .jpg format of the interface curve. The relevant parameters are described in the procedure.)

利用差分盒分形维数的理论得到图像的分形维数的matlab程序(Using differential box fractal dimension theory to get an image of the fractal dimension of the matlab program)

求盒维数的matlab程序，可以计算维度，用盒子维度的方法(Box-counting dimension for the matlab procedure, can calculate the dimensions, using the box dimension method)

图像复式，自己调试通过的，与大家交流学习(Image duplex, adopted their own debugging, and to share their learning)

求故障树的 1）对偶树； 2）最小割级和最小路集； 3）假定底事件的故障概率已知，求顶事件发生的概率； 4）求底事件的结构重要度、概率重要度和关键重要度。(Seeking Fault Tree 1) dual tree 2) minimum cut level and minimal path sets 3) It is assumed that the end of the event of the failure probability known, find the probability of occurrence of the top event 4) Evaluate the end of the event structure importance, important degree of probability and critical degree.)

分形图形的生成源程序，生成不同参数的Mandelbrot集和Julia集，对分形的初学者学习的好帮手。(fractal graphics generation source. Generation different parameters of the Mandelbrot set and Julia sets. Fractal of the beginners learn the good helper.)

说明：  本资料仅用于COMSOL爱好者学习，切勿传播，本软件提供强大的多物理场分析。(This information is only for COMSOL enthusiasts to learn, do not disseminate, this software provides a powerful multi-physical field analysis.)