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# 第 1 章 - PowerPoint PPT Presentation

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1章

1.1 Fractal 的含义

1.2 分形的几何特征

1.3 分形的度量

1.4 分形维数

1.5 分形是一种方法论

1.6 分形与计算机图形学

Fractal 的含义

1.1

1.2

1.3

（1）长度的测量

Length(n=0)=1

Length(n=1)=4/3

Length(n=2)=16/9

…………

Length=lim(Length(n))

=lim(4/3) = ∞

n→∞

n

n→∞

1.3

（2）面积的测量

Area(n0)=(1╳√3/6)/2= √3/12

Area(n1)=√3/12 ╳(4/9)

Area(n2)=√3/12 ╳(4/9)2

…………

Area(n)=lim(√3/12 ╳(4/9)n)=0

n→∞

1.4

1.4

1.5

1.6