Faster way to create Rectangles

I currently have a long 'for loop' over which I want to create rectangles. Is there a faster way i can do the below.The TPT on the below is not good.

for ii=1:10000
    rectangle('Position',[xy(ii,1),xy(ii,2),xy(ii,3)-xy(ii,1),xy(ii,4)-xy(ii,2)],'EdgeColor','r');
end

I tried using patch function to create an object but it does not behave like the above loop.

patch('XData',[x; (x+w); (x+w); x],'YData',[y; y; (y+h); (y+h)],'FaceColor','white');

thanks

Answer 1

[Oleg Komarov]

To use patches you need first to organize the Xdata and Ydata in matrices of 4 rows, one per vertex, and as many columns as rectangles. You need to keep in mind that vertices follow the clockwise convention.

Consider the following simple example with two rectangles:

t = table([2 3; 2 3; 5 7;5 7],[1 10; 2 11; 2 11; 1 10], ones(4,2),...
          'VariableNames',{'Xdata','Ydata','Zdata'},'RowNames',{'A','B','C','D'})
t = 
         Xdata      Ydata     Zdata 
         ______    _______    ______
    A    2    3    1    10    1    1
    B    2    3    2    11    1    1
    C    5    7    2    11    1    1
    D    5    7    1    10    1    1

% Plot patch
patch(t.Xdata,t.Ydata,t.Zdata)

% (optional for clarity)
axis([0 10 0 15])
text(t.Xdata(:),t.Ydata(:),repmat(t.Properties.RowNames,2,1),'Color','red')

The result

[giannit]

Thank you this is very fast!

Answer 2

[matt dash]

The short answer is that yes you should use patch, and no you should not call patch in a loop. Instead make the data for all 10000 rectangles (in a loop if necessary) and then call patch once using the face/vertex structure format.

Slowness of graphics is much more strongly related to the number of objects than to the complexity of each one... so 10000 simple patches will be a nightmare but 1 patch with 10000 faces should be ok.