• 参数化曲面的绘制


    clc
    clear
    
    %椎体
    % r=0:0.02:1;
    % theta=0:0.02:2*pi;
    % [r1,theta1]=meshgrid(r,theta);
    % x=r1.*cos(theta1);
    % y=r1.*sin(theta1);
    % z=r1;
    
    %球体
    % fai=0:0.02:pi;
    % theta=0:0.02:pi*2;
    % a=1
    % [fai1,theta1]=meshgrid(fai,theta);
    % x=a.*sin(fai1).*cos(theta1);
    % y=a.*sin(fai1).*sin(theta1);
    % z=a.*cos(fai1);
    
    %圆柱体
    theta=0:0.02:pi;
    u=0:0.02:5;
    [theta1,u1]=meshgrid(theta,u);
    x=3.*sin(2.*theta1);
    y=6.*sin(theta1).^2;
    z=u1;
    surf(x,y,z);
    axis equal
    View Code
    %柱面
    % x=0:0.02:1;
    % z=0:0.02:4;
    % [x1,z1]=meshgrid(x,z);
    % x=x1;
    % y=x1.^2;
    % z=z1;
    % 
    % hold on
    % quiver3(1/2, 1/4, 1/2,1/10,1/10,0/10,'g') 
    % quiver3(1/2, 1/4, 1/2,0/10,0/10,1/7,'r') 
    % quiver3(1/2, 1/4, 1/2,1/10,-1/10,0,'y') 
    
    %抛物面
    r=0:0.02:2;
    theta=0:0.02:2*pi;
    [r1,theta1]=meshgrid(r,theta);
    x=r1.*cos(theta1);
    y=r1.*sin(theta1);
    z=r1.^2;
    View Code

    空间椭圆曲线参数方程

    x+y+z=1 切 x^2+y^2=3形成的空间椭圆

    x=3 cos(theta)

    y=3 sin(theta)

    z=1-x-y

    椭圆切面参数方程

    theta=0:0.03:2*pi;
    r=0:0.05:3;
    [r1,theta1]=meshgrid(r,theta);
    x=r1.*cos(theta1);
    y=r1.*sin(theta1);
    z=1-x-y;
    
    surf(x,y,z)
    View Code

    %轮胎
    v=0:0.03:2*pi;
    u=0:0.03:2*pi;
    [v1,u1]=meshgrid(v,u);
    R=4;
    r=1;
    x=(R+r.*cos(u1)).*cos(v1);
    y=(R+r.*cos(u1)).*sin(v1);
    z=r.*sin(u1) ;
    surf(x,y,z)
    hold on
     quiver3(0, 0, 0,1,0,0,'g') 
     quiver3(0, 0, 0,0,1,0,'g') 
     quiver3(0, 0, 0,0,0,1,'g') 
    View Code


    theta=0:0.03:2*pi;
    u=0:0.03:2;
    [theta1,u1]=meshgrid(theta,u);
    a=4;
    b=5;
    c=7;
    x=a.*sinh(u1).*sin(theta1);
    y=b.*sinh(u1).*cos(theta1);
    z=c.*cosh(u1);
    mesh(x,y,z);

    hold on

    z=-c.*cosh(u1);
    mesh(x,y,z);
    grid on
    axis equal

    sinh->cosh  单双叶互换

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  • 原文地址:https://www.cnblogs.com/wdfrog/p/7059244.html
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