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# 第 5 章 - PowerPoint PPT Presentation

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5.3 Mandelbrot集的逃逸时间算法

5.4 基于牛顿迭代的Julia集的逃逸时间算法

5.1 基本思想

5.2 Julia集的逃逸时间算法

5.1

F(z)=z2+c

z2=z×z=(x+yi) ×(x+yi)=x2+y2i2+2xyi=(x2-y2)+(2xy)i

|z|= SQR(x2+y2)

|F(z0)|=|x02-y02+2x0y0i|

=SQR((x02-y02)2+(2x0y0)2)

=SQR(x04+y04-2x02y02+4x02y02)

=SQR((x02+y02)2)

=|z0|2

5.1

Julia集的逃逸时间算法

5.2

Julia集的逃逸时间算法

5.2

Julia集的逃逸时间算法

5.2

Mandelbrot集的逃逸时间算法

5.3

Mandelbrot集的逃逸时间算法

5.3

5.4

zn+1=zn-f(zn)/f’(zn)

f(z)=(2z3+1)/3z2

5.4

5.4