how to generate points inside a rectangle not parallel to axis in Matlab

Dear all,

I want to generate points inside a rectangle that is not parallel to the axis and have only the length, width, center, and degree of tilt. of the rectangle. Can any one help me with it please. I'm writing down some of the code. Thank you in advance.

z=[ 34.7814  29.7298   41.9441   28.3367   12.8067];
w=z(1); %width
h=z(2);%length
x=z(3);% center
y=z(4);%center
alpha=z(5); %degree of tilt
xv = [-w/2 w/2 w/2 -w/2 -w/2];
yv = [h/2 h/2 -h/2 -h/2 h/2];
R = [xv;yv];
alpha2=alpha*pi/180;
ct = cos(alpha2);
st = sin(alpha2);
Q = [ct -st;st ct];
XY1 = Q*R;
XY=[XY1(1,:)+x;XY1(2,:)+y];
center=(XY(:,1)+XY(:,3))/2;

[nadia nadi]

Dear Matt,

Thank you for helping me. it works fine.

Best

Answer 1

[Matt J]

You mean you want to generate N random points? If so, then,

xy=Q*([length;width].*(rand(2,N)-0.5)) +  center(:)

[nadia nadi]

I just needed to change the locations of the width and length [width;length]

best