Rotate 3d object by local coordinate axis of two vectors
Versione 1.0.0 (1,91 KB) da
Wan Ji
This function is for rotating an object by two perpendicular vectors. I rotate the x-axis to e1 vector direction and y-axis to e2 vector dir
This is a demo showing how to rotate an ellipsoid to a given local axis (depicted by two perpendicular vectors e1 and e2)
% x-axis to e1
% y-axis to e2
% z-axis to e3
% Coded by Wan Ji from Wuhan University
% 2021/08/22
P0 = [0,0,0]; % point origin
P1 = [3,0,0]; % point on x-axis
P2 = [0,3,0]; % point on y-axis
P3 = [0,0,3]; % point on z-axis
%% two perpendicular vectors for rotation
e1 = [1, 1, 1]/sqrt(3); % e1 vector
e2 = [-1, 0, 1]/sqrt(2); % e2 vector
%% Draw 3D axis
figure(1); title('axis rotation [x to e1; y to e2; z to cross(e1,e2)]')
plot3([P0(1), P1(1)], [P0(2), P1(2)], [P0(3), P1(3)],'r-','linewidth',2)
hold on
plot3([P0(1), P2(1)], [P0(2), P2(2)], [P0(3), P2(3)], 'g-','linewidth',2)
plot3([P0(1), P3(1)], [P0(2), P3(2)], [P0(3), P3(3)],'b-','linewidth',2)
text(P1(1), P1(2),P1(3),'x')
text(P2(1), P2(2),P2(3),'y')
text(P3(1), P3(2),P3(3),'z')
P1_rot = rotate3d(e1, e2, P1)*2;
P2_rot = rotate3d(e1, e2, P2)*2;
P3_rot = rotate3d(e1, e2, P3)*2;
%% Draw 3D axis after rotation
plot3([P0(1), P1_rot(1)], [P0(2), P1_rot(2)], [P0(3), P1_rot(3)],'r--','linewidth',2)
hold on
plot3([P0(1), P2_rot(1)], [P0(2), P2_rot(2)], [P0(3), P2_rot(3)], 'g--','linewidth',2)
plot3([P0(1), P3_rot(1)], [P0(2), P3_rot(2)], [P0(3), P3_rot(3)],'b--','linewidth',2)
text(P1_rot(1), P1_rot(2),P1_rot(3),'e1','color','c')
text(P2_rot(1), P2_rot(2),P2_rot(3),'e2','color','c')
text(P3_rot(1), P3_rot(2),P3_rot(3),'e3','color','c')
grid on
%% Rotate An ellipsoid
[x,y,z] = ellipsoid(0,0,0,2,1,0.5);
mesh(x,y,z,'facecolor','m','edgecolor','k', 'facealpha',0.4);
xyz = rotate3d(e1,e2,[x(:),y(:),z(:)]);
xp = reshape(xyz(:,1), size(x));
yp = reshape(xyz(:,2), size(y));
zp = reshape(xyz(:,3), size(z));
mesh(xp,yp,zp,'facecolor','b','edgecolor','w', 'facealpha',0.4);
Cita come
Wan Ji (2024). Rotate 3d object by local coordinate axis of two vectors (https://www.mathworks.com/matlabcentral/fileexchange/98049-rotate-3d-object-by-local-coordinate-axis-of-two-vectors), MATLAB Central File Exchange. Recuperato .
Compatibilità della release di MATLAB
Creato con
R2020a
Compatibile con qualsiasi release
Compatibilità della piattaforma
Windows macOS LinuxTag
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!Scopri Live Editor
Crea script con codice, output e testo formattato in un unico documento eseguibile.
Versione | Pubblicato | Note della release | |
---|---|---|---|
1.0.0 |