Study notes-Matlab 3D drawing

3D drawing

plot3(x,y,z)

t=0:0.05:15;
x=exp(-0.05*t).*cos(2*t);
y=exp(-0.05*t).*sin(2*t);
z=t;
figure
plot3(x,y,z,'.');
xlabel('x(meters)');
ylabel('y(meters)');
zlabel('z(meters)');
title('3D line plot');

Three-dimensional match chart: stem3(x,y,z)

t=0:0.2:10;
x=t;
y=sin(t);
z=t.^1.5;
stem3(x,y,z,'fill')
grid on
xlabel('x');
ylabel('y');
zlabel('z');

3D surface graph

1. Generate grid: [X,Y]=meshgrid(x,y)

2. Draw a surface: mesh(X,Y,Z);surf(X,Y,Z)

3. Ground contour projection: meshc(X,Y,Z);surfc(X,Y,Z)

x=-2:0.1:2;
y=-2:0.1:2;
[X,Y]=meshgrid(x,y);
Z=X.^2+Y.^2-0.5*(x.^2).*(Y.^2);
figure,surf(X,Y,Z);
figure,mesh(X,Y,Z);

x=-3:0.25:3;
y=-3:0.25:3;
[X,Y] = meshgrid(x,y);
Z=1.8.^(-1.5*sqrt(X.^2+Y.^2)).*cos(0.5*Y).*sin(X);
figure,mesh(X,Y,Z);xlabel('x');ylabel('y');zlabel('z');
figure,meshc(X,Y,Z);xlabel('x');ylabel('y');zlabel('z');
figure,surf(X,Y,Z);xlabel('x');ylabel('y');zlabel('z');
figure,surfc(X,Y,Z);xlabel('x');ylabel('y');zlabel('z');

     

 

 

Contour map contour(x,y,z), contourf(x,y,z)

x=-3:0.25:3;
y=-3:0.25:3;
[X,Y]=meshgrid(x,y)
Z=1.8.^(-1.5*sqrt(X.^2+Y.^2)).*cos(0.5*Y).*sin(X);

figure, contour(X, Y, Z, 0.1:0.1:1.9);
axis square;
xlabel('x', 'Fontsize',14);
ylabel('y', 'Fontsize',14);
title('Plotted by function contour', 'Fontsize',14);

figure, contourf(X, Y, Z, 0.1:0.1:1.9);
axis square;
xlabel('x', 'Fontsize',14);
ylabel('y', 'Fontsize',14);
title('Plotted by function contourf', 'Fontsize',14);

Three-dimensional histogram bar3()

y=[1 6.5 7;2 6 7;3 5.5 7;4 5 7;2 3 7;1 2 7];
bar3(y);

Three-dimensional pie chart pie3()

X=[5 9 14 20];
explode=[0 0 1 0];
pie3(X,explode);

%%explode:爆炸部分

Fractal iteration graph

function fractal_leaf(number_of_points)
    Mat1 = [0 0;0 0.16];
    Mat2 = [0.85 0.04;-0.04 0.85];
    Mat3 = [0.2 -0.26;0.23 0.22];
    Mat4 = [-0.15 0.28;0.26 0.24];
    Vector1 = [0;0];
    Vector2 = [0;1.6];
    Vector3 = [0;1.6];
    Vector4 = [0;0.44];
    Prob1 = 0.01;
    Prob2 = 0.85;
    Prob3 = 0.07;
    P = [0;0];
    x = zeros(1,number_of_points);
    y = zeros(1,number_of_points);
    prob = rand(number_of_points,1);
    for counter = 1:number_of_points
        if prob(counter)<Prob1
            P=Mat1*P+Vector1;
        elseif prob(counter)<Prob1+Prob2
            P=Mat2*P+Vector2;
        elseif prob(counter)<Prob1+Prob2+Prob3
            P=Mat3*P+Vector3;
        else
            P=Mat4*P+Vector4;
        end
        x(counter)=P(1);
        y(counter)=P(2);
    end
    plot(x,y,'b.')
    text(3,5,['n:',num2str(number_of_points)],'EdgeColor','r','FontSize',20,'LineWidth',2);
    axis equal, axis off
end

figure
for n=[1 2 5 10 20 50 100 200 500 1000 2000 5000 10000]*1000
    fractal_leaf(n);
    pause(0.2);
end