MATLAB: Rotate 3D surface matrices

matrix rotationsurf

I have three matrices for surf command: X, Y, Z. I need to rotate the matrices along z-axis by some degrees. I remember there is a matlab command for that (maybe from image processing toolbox), but I can't recall what is it. The command will make the size of matrices larger, with many zero elements in the four corners. Anyone knows what is the rotation command?

Best Answer

You can manually change data. Just use rotation matrix

a = 15;     % angle rotation
R = [cosd(a) sind(a);-sind(a) cosd(a)];
V = R*[X(:) Y(:)]';             % rotate about Z axis
X1 = reshape(V(1,:),size(X));   % new data
Y1 = reshape(V(2,:),size(Y));
surf(X1,Y1,Z);

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MATLAB: Hatch Pattern inside a circumference

Try this

clc,clear
    % generate points on the circel with equal spaces
y = linspace(-1,1,20);
x = sqrt(1-y.^2);
a = 20;                 % angle of lines
    % rotation matrix
R = [cosd(a) -sind(a); sind(a) cosd(a)];
X = [-x; x];            % add another side of X
Y = [ y; y];
V = R*[X(:) Y(:)]';     % rotate
X = reshape(V(1,:),2,[]);
Y = reshape(V(2,:),2,[]);
plot(X,Y,'k')           % Hatch pattern
hold on
viscircles([0 0],1);
hold off

MATLAB: How to rotate entire 3d data with x,y,z values along a particular axis (say x axis)

Let X,Y,Z be arrays of the rotated points in the dataset. For rotation along the x-axis:

 X = x;
 Y = y*cos(p)-z*sin(p);
 Z = y*sin(p)+z*cos(p);

For rotation p radians in the direction from the y-axis toward the z-axis, that is, in accordance with the "right-hand rule" about the positive x-axis.

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Related Solutions

MATLAB: Hatch Pattern inside a circumference

MATLAB: How to rotate entire 3d data with x,y,z values along a particular axis (say x axis)

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