Biomedical Engineering Reference
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sen (2 pg n y )
cos(2 pg n x )
￿
￿
D -1
Σ
Σ
z ( x, y ) =
A
B
D -1
+
g (2- D ) n
g (2. D ) n
n -1
n -1
A =1 B =1 n =100
D=0.0 Gamma =1.0
D=0.0 Gamma =2.0
D=0.0 Gamma =3.0
100
1
0.5
0
0
0
-100
-1
-0.5
10
10
10
10
10
10
5
5
5
5
5
5
0
0
0
0
0
0
y
x
y
x
y
x
D=1.0 Gamma =1.0
D=1.0 Gamma =2.0
D=1.0 Gamma =3.0
100
2
1
0
0
0
-100
-2
-1
10
10
10
10
10
10
5
5
5
5
5
5
0
0
0
0
0
0
y
x
y
x
y
x
D=2.0 Gamma =1.0
D=2.0 Gamma =2.0
D=2.0 Gamma =3.0
100
100
100
0
0
0
100
100
-100
10
10
10
10
10
10
5
5
5
5
5
5
0
0
0
0
0
0
y
x
y
x
y
x
Fig. 6.4 Fractal surfaces based on the Mandelbrot-Weierstrass equation for further design of biodevices. Effect of parameter change: A = 1, B = 1, n = 100,
D = 0; 1; 2, γ = 1; 1,5; 2
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