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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。% G/ ?2 |. |7 C& m) y: {- R
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【例1】绘制扭结
! a. M, A0 I9 S) S- % 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 vis3d3 f9 f2 `' i5 D9 a5 S" T
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* g' A6 [6 L9 X, Q【例2】绘制双鱼5 j) M# I6 p$ a5 H8 M' U+ i. @' d
- % 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) x3 P R; I' ^2 `
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【例3】绘制田螺
4 A* V. ^. E/ k- % 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; h/ C, @4 x/ v3 [# {$ Z, ^
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【例4】绘制风车(或章鱼)
/ a& m2 U1 f- e- % 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, f+ ~4 [; c8 I$ f3 @, \/ ` N
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发表于 2020-2-25 10:29
