• Status: Solved
• Priority: Medium
• Security: Public
• Views: 713

# Compound matrix transformation [code attached]

Hello Experts,

I have the following code which shows the rotation of a 2D polygon and what i want is to modify it using a compound matrix transformation so that the square rotates about an arbitrary point.

Can anyone help me how can i do such a thing ??

``````close all;
clear all;

% a 2D pologyon
p=[-1 1 1 -1 -1 ; -1 -1 1 1 -1];

% points p = in homogeneous coord
p(3,:)=1;

% axes for plotting the animation
figure;
hold on;
axis([-6 6 -6 6]);
axis equal;

for theta=0:0.005:2*pi

R=[cos(theta) -sin(theta) 0 ; sin(theta) cos(theta) 0 ; 0 0 1];

pdash=R*p;

pdash(1,:)=pdash(1,:)./pdash(3,:);
pdash(2,:)=pdash(2,:)./pdash(3,:);

cla;
plot(pdash(1,:),pdash(2,:),'b');
drawnow;

end
``````
0
perdoname_
1 Solution

Commented:
0

Commented:
perdoname_,
Here you are the modified code:
Transforming Objects - MATLAB

``````function rotsquare
close all;
clear all;

% a 2D pologyon
p=[-1 1 1 -1 -1 ; -1 -1 1 1 -1];

% points p in XY plane
p(3,:)=0;

% points p = in homogeneous coord
p(4,:)=1;

% axes for plotting the animation
figure;
hold on;
axis([-6 6 -6 6]);
axis equal;

%Rotate about the upper right corner (1,1)
Tx1 = makehgtform('translate',[-1 -1 0]);
Tx2 = makehgtform('translate',[ 1  1 0]);

for theta=0:0.005:2*pi
R=makehgtform('zrotate',theta);
pdash=Tx2*R*Tx1*p;
cla;
plot(pdash(1,:),pdash(2,:),'b');
drawnow;
end
``````
0
Question has a verified solution.

Are you are experiencing a similar issue? Get a personalized answer when you ask a related question.

Have a better answer? Share it in a comment.