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利用MATLAB绘制管状几何体，所谓管状几何体就是中空的像水管一样的几何体。我编了一个MATLAB函数TubeLike，可以根据管道中心线坐标及各点处管道半径绘制管状几何体。下面结合具体例子介绍TubeLike函数的用法。# \ t G/ S) S* L8 a- v
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【例1】绘制扭结& R( K0 Z" J: K) z1 q) v
- % Example1：扭结
- n = 100;
- r = 0.75;
- q = floor(n/3);
- t = (0:n)/n;
- a = 2; b = 3; c = 1.5;
- q1=2; q2=4;
- f0 = sin(q1*pi*t) + a*sin(q2*pi*t) - ...
- b*cos(4*pi*t)/2 + c*sin(6*pi*t);
- f0 = [ f0(1:n) f0(1:n) ];
- x = f0(1:n+1);
- y = f0(q+1:q+n+1);
- z = f0(2*q+1:2*q+n+1);
- figure(1)
- TubeLike(x,y,z,r)
- shading interp;
- light
- lighting gouraud
- view(2)
- axis equal off
- axis vis3d
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【例2】绘制双鱼
2 H, ~- w; \8 H F! h- % Example2：双鱼
- t = linspace(0,2*pi,50);
- x = sin(t);
- y = cos(t);
- z = cos(t/2);
- r = sin(t);
- figure(2)
- TubeLike(x,y,z,r)
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$ Q" n# |* s9 w6 G7 b【例3】绘制田螺# t4 R0 b6 M" @& o
- % Example3：田螺
- t = linspace(0,7*pi,200);
- x = t.*cos(t)*0.1;
- y = t.*sin(t)*0.1;
- z = [1:numel(t)]*0.01;
- r = sqrt([0:numel(t)-1]*0.004);
- figure(3)
- TubeLike(x,y,z,r)
- view(-44,-52)
- axis equal off p: q" t1 H* c8 C
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6 T- U! w- X! d- B: B( n+ p【例4】绘制风车(或章鱼)
: H- Q2 ~) c% {. E2 v- % Example4：风车(或章鱼)
- x0 = linspace(0,2*pi,60)';
- y0 = sin(x0);
- t = 0:pi/4:7*pi/4;
- x = x0*cos(t)+y0*sin(t);
- y = -x0*sin(t)+y0*cos(t);
- z = zeros(size(x0));
- figure(4)
- hold on
- for i = 1:numel(t)
- [X,Y,Z] = TubeLike(x(:,i),y(:,i),z,0.5);
- suRF(X,Y,Z,'FaceColor',rand(1,3),'LineStyle','none');
- end
- hold off
- view(3)
- axis equal off
- light! E6 O7 n5 O$ ^. N$ V
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发表于 2020-2-25 10:29
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淘帖
支持！
反对！