As one of science study tools ,fractal dimension is usually an effective way that used to describe the non- smooth and non- regu2 lar geometry objects in the nature and non- linear systems. There are all kinds of methods about calculating it . Its application is greatly wide ,but there are distinctive differences between these methods. According to these , this paper studies and integrates these methods sys2 tematically ,including Compass Method ,Minkowski Method ,Variation Method ,Box counting Method ,Perimeter Area Method ,Slit island Method ,Fractal Brown model Method. This paper also expatiated the meanings ,basic models and the application in each field. At the same time ,algorithms of these methods implemented by the computer are found in the paper.

分形维数计算程序的设计及其应用.pdf

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