help, how i can rotate a figure in 3D using a rotation matrix.

clearvars;
set(0,'defaultTextInterpreter','latex');
set(groot, 'defaultAxesTickLabelInterpreter','latex')
set(groot, 'defaultLegendInterpreter','latex');
set(groot,'DefaultFigureColormap',jet);

a = 2; b = 2; c = 2;
x1 = [0 a a 0 0] - a/2;
y1 = [0 0 b b 0] - b/2;
z1 = [0 0 0 0 0] - c/2;
f1 = [x1 ; y1 ; z1]
plot3(f1(1,:),f1(2,:),f1(3,:),'Color','k'); 
grid on; hold on;

x2 = [a a a a a] - a/2;
y2 = [0 b b 0 0] - b/2;
z2 = [0 0 c c 0] - c/2;
f2 = [x2 ; y2 ; z2]
plot3(f2(1,:),f2(2,:),f2(3,:),'Color',[0 0 0]);

x3 = [0 a a 0 0] - a/2;
y3 = [0 0 b b 0] - b/2;
z3 = [c c c c c] - c/2;
f3 = [x3 ; y3 ; z3]
plot3(f3(1,:),f3(2,:),f3(3,:),'Color',[0 0 0]); 

x4 = [0 0 0 0 0] - a/2;
y4 = [0 b b 0 0] - b/2;
z4 = [0 0 c c 0] - c/2;
f4 = [x4 ; y4 ; z4]
plot3(f4(1,:),f4(2,:),f4(3,:),'Color',[0 0 0]);

maximo = max([a,b,c]);
xlim([-maximo maximo]);
ylim([-maximo maximo]);
zlim([-maximo maximo]);

scatter3(0,0,0,'k','filled');
linha = 2*[-maximo,maximo];
plot3(linha,0*linha,0*linha,'LineStyle',":",'Color',[0 0 0]);
plot3(0*linha,linha,0*linha,'LineStyle',":",'Color',[0 0 0]);
plot3(0*linha,0*linha,linha,'LineStyle',":",'Color',[0 0 0]);

xlabel('eixo $x$'); ylabel('eixo $y$'); zlabel('eixo $z$');



hold off

[Walter Roberson]

Do you need the entire figure to be rotated in 3D? But figures are 2D objects.

Do you need the entire axes and all to be rotated in 3D?

Do you need the contents of the axes to be rotated in 3D but the axes to stay fixed?

[Ian Samuelsson]

my teacher send me the cube and i dunno how to rotate, i only want to aply te rotation matrix to move the cube,

allowing me to rotate it, i don't know if i splane correctly, i'm trying hard to learn matlab

[Ian Samuelsson]

but answering you, yes the entire figure

[Walter Roberson]

You cannot rotate the entire figure. Figures are graphic windows -- everything including the standard window controls to close or minimize or maximize the window.

Back in the day... Before OpenGL existed, SGI (a once important company that created OpenGL) had its own graphics language named GL, and the window manager they used was based on DisplayPostscript . DisplayPostscript literally could rotate graphic windows -- and graphic windows for it were not restricted to being rectangular either. It was even possible to create disconnected regions...

Rectangular graphic windows might perhaps have simplified programming, but I still think computing lost something went it did not take up DisplayPostscript or similar equivalent.

Answer 1

[Walter Roberson]

If you need the objects to rotate but the axes to stay fixed, then you should create a hgtransform() group and set its Matrix property, likely with a transform created using makehgtform()

If you need the axes to rotate as well, then instead you should manipulate the camera properties; see https://www.mathworks.com/help/matlab/creating_plots/low-level-camera-properties.html -- or perhaps just using view() to set a matrix might work for your purposes.